From 7676df4a7084275be2e403bfb47d855b6f4c9c20 Mon Sep 17 00:00:00 2001 From: Steve Ataucuri Date: Wed, 16 Sep 2020 16:37:58 +0000 Subject: [PATCH 1/3] Moved config files --- config_cnn.json => configs/config_cnn.json | 0 config_cnn_parallel.json => configs/config_cnn_parallel.json | 0 .../config_cnn_parallel_internal.json | 0 config_default.json => configs/config_default.json | 0 config_lstm.json => configs/config_lstm.json | 0 config_lstm_gaussian.json => configs/config_lstm_gaussian.json | 0 config_lstm_parallel.json => configs/config_lstm_parallel.json | 0 .../config_lstm_parallel_internal.json | 0 config_mlp.json => configs/config_mlp.json | 0 config_mlp_gaussian.json => configs/config_mlp_gaussian.json | 0 config_rnn.json => configs/config_rnn.json | 0 11 files changed, 0 insertions(+), 0 deletions(-) rename config_cnn.json => configs/config_cnn.json (100%) rename config_cnn_parallel.json => configs/config_cnn_parallel.json (100%) rename config_cnn_parallel_internal.json => configs/config_cnn_parallel_internal.json (100%) rename config_default.json => configs/config_default.json (100%) rename config_lstm.json => configs/config_lstm.json (100%) rename config_lstm_gaussian.json => configs/config_lstm_gaussian.json (100%) rename config_lstm_parallel.json => configs/config_lstm_parallel.json (100%) rename config_lstm_parallel_internal.json => configs/config_lstm_parallel_internal.json (100%) rename config_mlp.json => configs/config_mlp.json (100%) rename config_mlp_gaussian.json => configs/config_mlp_gaussian.json (100%) rename config_rnn.json => configs/config_rnn.json (100%) diff --git a/config_cnn.json b/configs/config_cnn.json similarity index 100% rename from config_cnn.json rename to configs/config_cnn.json diff --git a/config_cnn_parallel.json b/configs/config_cnn_parallel.json similarity index 100% rename from config_cnn_parallel.json rename to configs/config_cnn_parallel.json diff --git a/config_cnn_parallel_internal.json b/configs/config_cnn_parallel_internal.json similarity index 100% rename from config_cnn_parallel_internal.json rename to configs/config_cnn_parallel_internal.json diff --git a/config_default.json b/configs/config_default.json similarity index 100% rename from config_default.json rename to configs/config_default.json diff --git a/config_lstm.json b/configs/config_lstm.json similarity index 100% rename from config_lstm.json rename to configs/config_lstm.json diff --git a/config_lstm_gaussian.json b/configs/config_lstm_gaussian.json similarity index 100% rename from config_lstm_gaussian.json rename to configs/config_lstm_gaussian.json diff --git a/config_lstm_parallel.json b/configs/config_lstm_parallel.json similarity index 100% rename from config_lstm_parallel.json rename to configs/config_lstm_parallel.json diff --git a/config_lstm_parallel_internal.json b/configs/config_lstm_parallel_internal.json similarity index 100% rename from config_lstm_parallel_internal.json rename to configs/config_lstm_parallel_internal.json diff --git a/config_mlp.json b/configs/config_mlp.json similarity index 100% rename from config_mlp.json rename to configs/config_mlp.json diff --git a/config_mlp_gaussian.json b/configs/config_mlp_gaussian.json similarity index 100% rename from config_mlp_gaussian.json rename to configs/config_mlp_gaussian.json diff --git a/config_rnn.json b/configs/config_rnn.json similarity index 100% rename from config_rnn.json rename to configs/config_rnn.json From 644473bcd37a1604ac262f25c2418617ad1e7207 Mon Sep 17 00:00:00 2001 From: Steve Ataucuri Date: Sun, 4 Oct 2020 01:23:47 +0000 Subject: [PATCH 2/3] Last implementations for gaussian model --- README.md | 96 +- configs/config_cnn.json | 10 +- configs/config_cnn_parallel.json | 15 +- configs/config_lstm.json | 8 +- configs/config_lstm_gaussian.json | 34 +- configs/config_lstm_parallel.json | 29 +- configs/config_mlp.json | 16 +- core/data/data_loader.py | 19 +- core/models/base.py | 207 +++- core/models/gaussian_loss.py | 14 +- core/models/lstm.py | 14 +- core/utils/metrics.py | 8 +- core/utils/transformation.py | 11 + imgs/plot_eta.png | Bin 0 -> 18806 bytes imgs/plot_phi.png | Bin 0 -> 20450 bytes imgs/plot_polar.png | Bin 0 -> 123142 bytes main_inference.py | 106 +- main_train.ipynb | 292 ++--- main_train.py | 19 +- notebooks/main_test-cylind.ipynb | 624 ----------- notebooks/plot_distributions.ipynb | 1681 ++++++++++++++++++++++++++++ notebooks/plot_prediction.ipynb | 2 +- 22 files changed, 2301 insertions(+), 904 deletions(-) create mode 100644 imgs/plot_eta.png create mode 100644 imgs/plot_phi.png create mode 100644 imgs/plot_polar.png delete mode 100644 notebooks/main_test-cylind.ipynb create mode 100644 notebooks/plot_distributions.ipynb diff --git a/README.md b/README.md index 2b96da7..693aee7 100644 --- a/README.md +++ b/README.md @@ -38,45 +38,60 @@ Considering the mentioned regions and the symmetry of the detector, each dataset

-A short datasets are in `dataset` directory. +Short datasets are in `dataset` directory. We split a region in three parts (this is too big to be here). # Running ## Training There are some predefined config files to train diferents models (MLP, CNN, LSTM, CNN-parallel and others). If you need to change the parameters then change the config_*.json file. We used internal barrel as dataset, this dataset is previously transformed and linked in json file: ```sh -$ python main_train.py --config config_lstm_parallel_internal.json +$ python main_train.py --config configs/config_lstm_parallel_internal.json ``` There are other configurations for example a CNN model: ```sh -$ python main_train.py --config config_cnn_parallel_internal.json +$ python main_train.py --config configs/config_cnn_parallel_internal.json ``` -If you want to see the training process when ajust any parameters of .json file. Run the notebook: +If you want to use a gaussian model ```sh -$ main_train.ipynb +$ python main_train.py --config configs/config_lstm_gaussian.json ``` -For many trainings and testings with scripts. You can run it, with the default configuration: + +If you want to see the training process when ajust any parameters of .json file. Run the notebook: ```sh -$ ./run_trains.sh -$ ./run_tests.show +$ main_train.ipynb ``` ## Inference -You can inference data test: +You can inference the previous compiled model with the same config file: ```sh -$ python main_inference.py --config config_lstm_parallel_internal.json +$ python main_inference.py --config configs/config_lstm_parallel_internal.json --load True ``` -This will produce a `results/encrypt_name/results-test.txt` file. +This will produce an report at `results/encrypt_name/results-test.txt` file. With the number of reconstructed tracks and quantity of hits correctly predicted by layer. +If you want to inference with a short dataset: +```sh +$ python main_inference.py --config configs/config_lstm_parallel_internal.json --load True --samples 500 +``` +or +```sh +$ python main_inference.py --config configs/config_lstm_gaussian.json --load True +``` ## Auxiliary Scripts +You can automatizate trainings and testings with scripts. there are some default configurations: + +```sh +$ ./run_trains.sh +$ ./run_tests.sh +``` # Performance ## Accuracy of Algorithm + We are using regressions metrics for accuracy of models. We show 2 groups of metrics. - The principal metrics is a scoring. Scoring counts how many correct hits were found per layer and comparates with original truth hits. Finally we count the quantity of tracks reconstructed. @@ -89,18 +104,24 @@ Output test file: ``` [Output] Results ---Parameters--- - Model Name : lstm - Dataset : phi025-025_eta025-025_train1_lasthit_20200219.csv - Tracks : 528 - Model saved : /compiled/model-lstm-DCtuvkiXn32hugVsTaokcp-coord-xyz-normalise-true-epochs-21-batch-6.h5 - Test date : 10/06/2020 12:09:34 - Coordenates : xyz + Model Name : gaussian-lstm + Dataset : eta_n0.5-0.5_phi_n0.5-0.5_20200518171238_tracks.csv + Tracks : 3000 + Model saved : compiled/model-gaussian-lstm-MEnGHa5DCmJGE9C9BpAg4i-coord-cylin-normalise-true-epochs-30-batch-30.h5 + Test date : 02/10/2020 20:23:55 + Coordenates : cylin + Coordenate 3D : True Model Scaled : True Model Optimizer : adam - Prediction Opt : nearest - Total correct hits per layer [256. 251. 213. 194. 157. 126.] of 528 tracks tolerance=0.0: - Total porcentage correct hits : ['48.48%', '47.54%', '40.34%', '36.74%', '29.73%', '23.86%'] - Reconstructed tracks: 74 of 528 tracks + Prediction Opt : gaussian + Distance metric : ['polar', 'euclidean', 'mahalanobis', 'cosine'] + Remove hit : False + Correct hits per layer (polar) ['191.0(6.37%)', '135.0(4.5%)', '182.0(6.07%)', '167.0(5.57%)', '121.0(4.03%)', '127.0(4.23%)'] of 3000 tracks: + Correct hits per layer (euclidean) ['61.0(2.03%)', '54.0(1.8%)', '64.0(2.13%)', '62.0(2.07%)', '49.0(1.63%)', '36.0(1.2%)'] of 3000 tracks: + Correct hits per layer (mahalanobis) ['191.0(6.37%)', '193.0(6.43%)', '178.0(5.93%)', '193.0(6.43%)', '165.0(5.5%)', '133.0(4.43%)'] of 3000 tracks: + Correct hits per layer (cosine) ['2323.0(77.43%)', '1980.0(66.0%)', '1792.0(59.73%)', '1702.0(56.73%)', '1487.0(49.57%)', '1351.0(45.03%)'] of 3000 tracks: + Reconstructed tracks: 887 of 3000 tracks (29.566666666666666) + ``` Above output shows scoring per layer for example 48% with 256 hits were matched at the first layer, results are 74 tracks reconstructed of 528 tracks(it is a short dataset just). We also write other info like what kind of coordinate, if we use the nearest optimization, epochs, batchs, optimazer used, model name etc. @@ -138,23 +159,30 @@ layer 7 The last output shows one geral metric for all hits and four (R^2, MSE, RMSE, MAE) metrics per layer. -## Vizualization -If you want to see the results with plots, go to the plot_prediction.ipynb file at `notebooks` directory. +## Plots +If you want to see the results with plots, go to the plot_prediction.ipynb file at `notebooks` directory. This example plots cartesian coordinates. -This plot is 10 tracks reconstructed. -

- -

+ + +
Drawing
The next plot shows all hits. -

- -

+ + +
Drawing
-The next plot is the prediction of all hits. -

- -

+### Plot Distributions +There is other notebook for plot the gaussian distributions plot_distributions.ipynb + + + +
Drawing
+ +The pull of distributions for $etha$ and $phi$. + + + +
Drawing Drawing
diff --git a/configs/config_cnn.json b/configs/config_cnn.json index 29c6f18..c993f10 100644 --- a/configs/config_cnn.json +++ b/configs/config_cnn.json @@ -5,7 +5,7 @@ "log_dir": "logs" }, "data": { - "filename": "/data/track-ml/eramia/dataset/eta-05_05.csv", + "filename": "dataset/eta_n0.5-0.5_phi_n0.5-0.5_short.csv", "train_split": 0.80, "normalise": true, "cylindrical": false, @@ -21,12 +21,12 @@ "use_gpu": true, "show_metrics": false, "shuffle": true, - "earlystopping": true + "earlystopping": true }, "testing": { - "type_optimization" : "normal", + "type_optimization" : "nearest", "normalise": false, - "tolerance": 0.02 + "tolerance": 0.01 }, "model": { "name": "cnn", @@ -53,7 +53,7 @@ }, { "type": "dense", - "neurons": 18, + "neurons": 12, "activation": "relu" }, { diff --git a/configs/config_cnn_parallel.json b/configs/config_cnn_parallel.json index b3ba31e..d71542e 100644 --- a/configs/config_cnn_parallel.json +++ b/configs/config_cnn_parallel.json @@ -5,17 +5,19 @@ "log_dir": "logs" }, "data": { - "filename": "./dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv", + "filename": "dataset/eta_n0.5-0.5_phi_n0.5-0.5_short.csv", "train_split": 0.80, "normalise": true, - "cylindrical": false, + "type_norm": "maxmin", + "cylindrical": true, + "points_3d": true, "num_hits": 10, "features": 3 }, "training": { - "epochs": 15, + "epochs": 18, "batch_size": 6, - "validation": 0.2, + "validation": 0.3, "save_model": true, "load_model": false, "use_gpu": true, @@ -25,8 +27,9 @@ }, "testing": { "type_optimization" : "nearest", + "metric": "cosine", "normalise": false, - "tolerance": 0.02 + "tolerance": 0.01 }, "model": { "name": "cnn-parallel", @@ -53,7 +56,7 @@ }, { "type": "dense", - "neurons": 64, + "neurons": 32, "activation": "relu" }, { diff --git a/configs/config_lstm.json b/configs/config_lstm.json index 7b4edf3..9c27d2c 100644 --- a/configs/config_lstm.json +++ b/configs/config_lstm.json @@ -5,7 +5,7 @@ "log_dir": "logs" }, "data": { - "filename": "/data/track-ml/eramia/dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv", + "filename": "dataset/eta_n0.5-0.5_phi_n0.5-0.5_short.csv", "train_split": 0.80, "normalise": true, "cylindrical": false, @@ -13,9 +13,9 @@ "features": 3 }, "training": { - "epochs": 21, + "epochs": 20, "batch_size": 6, - "validation": 0.2, + "validation": 0.33, "save_model": true, "load_model": false, "use_gpu": true, @@ -46,7 +46,7 @@ }, { "type": "dropout", - "rate": 0.25 + "rate": 0.2 }, { "type": "lstm", diff --git a/configs/config_lstm_gaussian.json b/configs/config_lstm_gaussian.json index 9a30eae..0659fea 100644 --- a/configs/config_lstm_gaussian.json +++ b/configs/config_lstm_gaussian.json @@ -5,19 +5,19 @@ "log_dir": "logs" }, "data": { - "filename": "./dataset/eta_n0.5-0.5_phi_n0.5-0.5_internal_short1.csv", + "filename": "/data/track-ml/bracis/datasets/eta_n0.5-0.5_phi_n0.5-0.5/eta_n0.5-0.5_phi_n0.5-0.5_20200518171238_tracks.csv", "train_split": 0.80, "normalise": true, - "type_norm": "zscore", + "type_norm": "maxmin", "cylindrical": true, - "points_3d": false, + "points_3d": true, "num_hits": 10, - "features": 2 + "features": 3 }, "training": { "epochs": 30, - "batch_size": 18, - "validation": 0.3, + "batch_size": 30, + "validation": 0.35, "save_model": true, "load_model": false, "use_gpu": true, @@ -26,27 +26,29 @@ "earlystopping": true }, "testing": { - "type_optimization" : "nearest", - "metric": "cosine", + "type_optimization" : "gaussian", + "metric": ["polar", "euclidean", "mahalanobis", "cosine"], "normalise": false, - "tolerance": 0.02 - }, + "tolerance": 0.02, + "remove_hit": false, + "show_metrics": false + }, "model": { "name": "gaussian-lstm", "overwrite": true, - "isparallel": false, + "isparallel": false, "loss": "mse", "metrics": ["acc"], "optimizer": "adam", - "learningrate": 0.01, + "learningrate": 0.0005, "layers": [ { "type": "input", - "neurons": 500, - "input_features": 2, + "neurons": 700, + "input_features": 3, "input_timesteps": 4, - "activation": "tanh" - } + "activation": "tanh" + } ] } } diff --git a/configs/config_lstm_parallel.json b/configs/config_lstm_parallel.json index 3cb6991..8b4e603 100644 --- a/configs/config_lstm_parallel.json +++ b/configs/config_lstm_parallel.json @@ -5,27 +5,27 @@ "log_dir": "logs" }, "data": { - "filename": "./dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv", + "filename": "./dataset/eta_2.0-3.0_phi_n0.5-0.5_external_short.csv", "train_split": 0.80, "normalise": true, "cylindrical": false, "num_hits": 10, "features": 3 - }, "training": { - "epochs": 18, - "batch_size": 24, + "epochs": 10, + "batch_size": 30, "validation": 0.2, "save_model": true, "load_model": false, "use_gpu": true, "show_metrics": false, - "shuffle": true, + "shuffle": false, "earlystopping": true }, "testing": { "type_optimization" : "nearest", + "metric": "euclidean", "normalise": false, "tolerance": 0.01 }, @@ -39,21 +39,30 @@ "layers": [ { "type": "lstm", - "neurons": 500, + "neurons": 800, "input_timesteps": 4, - "input_features": 1, + "input_features": 1, "return_seq": false, "stateful": false }, { "type": "dropout", - "rate": 0.25 + "rate": 0.5 }, { "type": "dense", - "neurons": 64, + "neurons": 100, "activation": "relu" - }, + }, + { + "type": "dropout", + "rate": 0.2 + }, + { + "type": "dense", + "neurons": 18, + "activation": "relu" + }, { "type": "dense", "neurons": 3, diff --git a/configs/config_mlp.json b/configs/config_mlp.json index b7420c1..5b50646 100644 --- a/configs/config_mlp.json +++ b/configs/config_mlp.json @@ -21,10 +21,11 @@ "use_gpu": true, "show_metrics": false, "shuffle": true, - "earlystopping": false + "earlystopping": true }, "testing": { "type_optimization" : "nearest", + "metric": "cosine", "normalise": false, "tolerance": 0.02 }, @@ -34,23 +35,24 @@ "isparallel": false, "loss": "mse", "metrics": ["acc"], - "optimizer": "rmsprop", + "optimizer": "adam", + "learningrate": 0.001, "layers": [ { "type": "mlp", - "neurons": 12, + "neurons": 90, "input_features": 3, "input_timesteps": 4, - "activation": "relu" + "activation": "tanh" }, { "type": "dense", - "neurons": 6, - "activation": "relu" + "neurons": 60, + "activation": "tanh" }, { "type": "dense", - "neurons": 3, + "neurons": 2, "activation": "linear" } ] diff --git a/core/data/data_loader.py b/core/data/data_loader.py index 07f2a4f..78ebde8 100644 --- a/core/data/data_loader.py +++ b/core/data/data_loader.py @@ -24,7 +24,7 @@ class KindNormalization(Enum): Nothing = 4 class Dataset(): - def __init__(self, input_path, train_size, cylindrical, hits, kind_normalization, points_3d=True): + def __init__(self, input_path, train_size, cylindrical, hits, kind_normalization, points_3d=True, samples=None): #np.set_printoptions(suppress=True) @@ -34,8 +34,8 @@ def __init__(self, input_path, train_size, cylindrical, hits, kind_normalization self.kind = kind_normalization if self.kind == KindNormalization.Scaling: - self.x_scaler = MinMaxScaler(feature_range=(-1, 1)) - self.y_scaler = MinMaxScaler(feature_range=(-1, 1)) + self.x_scaler = MinMaxScaler(feature_range=(-np.pi, np.pi)) + self.y_scaler = MinMaxScaler(feature_range=(-np.pi, np.pi)) elif self.kind == KindNormalization.Zscore: self.x_scaler = StandardScaler() # mean and standart desviation @@ -53,7 +53,12 @@ def __init__(self, input_path, train_size, cylindrical, hits, kind_normalization self.interval = 11 self.decimals = 4 - self.data = dataframe.iloc[:, self.start_hits:] + # select an specific samples of dataset + if samples is not None: + self.data = dataframe.iloc[:samples, self.start_hits:] + else: + self.data = dataframe.iloc[:, self.start_hits:] + #self.self = 0 if cylindrical: @@ -261,7 +266,7 @@ def get_testing_data(self, n_hit_in, n_hit_out, n_features, normalise=False, xsc sequences = self.data_test.values rows = sequences.shape[0] - + for i in range(0, rows): end_ix = n_hit_in*n_features seq_x, seq_y = sequences[i, 0:end_ix], sequences[i, end_ix:] @@ -282,7 +287,7 @@ def get_testing_data(self, n_hit_in, n_hit_out, n_features, normalise=False, xsc y_data = pd.DataFrame(Y) elif normalise and (xscaler is not None or yscaler is not None): - print('not is none') + # we load a previous scaler mean and std self.x_scaler = xscaler self.y_scaler = yscaler @@ -295,7 +300,7 @@ def get_testing_data(self, n_hit_in, n_hit_out, n_features, normalise=False, xsc y_data = pd.DataFrame(Y) elif not normalise and (xscaler is not None or yscaler is not None): - print('normalise false and is none') + # we load a previous scaler mean and std self.x_scaler = xscaler self.y_scaler = yscaler diff --git a/core/models/base.py b/core/models/base.py index f477d7b..77230ea 100644 --- a/core/models/base.py +++ b/core/models/base.py @@ -20,6 +20,7 @@ from core.utils.utils import * from core.models.gaussian_loss import gaussian_loss, gaussian_nll +from scipy.stats import norm class BagOfHits(Enum): All=1, @@ -58,7 +59,7 @@ def __init__(self, configs): 'model-%s-%s-coord-%s-normalise-%s-epochs-%s-batch-%s.h5' % ( self.name, self.encryp_ds_name, coord, str(self.normalise).lower(), self.epochs, self.batch_size)) - print(self.save_fnameh5) + #print(self.save_fnameh5) self.save_fname = os.path.join(configs['paths']['save_dir'], 'architecture-%s.png' % self.name) @@ -635,6 +636,210 @@ def predict_full_sequences_nearest_parallel(self, x_test, y_test, data, bag_of_h return pred_sequences, count_correct_nearest, count_correct + def predict_prob(self, x, bs): + """Make predictions given model and 2d data + """ + + ypred = self.model.predict(x, verbose=0, batch_size=bs) + n_outs = int(ypred.shape[1] / 2) + mean = ypred[:, 0:n_outs] + sigma = np.exp(ypred[:, n_outs:]) + + return mean, sigma + + def predict_prob_full_sequences_nearest(self, x_test, y_test, data, bag_of_hits, y_test_xyz=None, + t_steps=4, t_features=1, n_features=3, num_hits=6, + normalise=False, cylindrical=False, verbose=False, tol=0.01, + remove_hit=False, points_3d=True, metrics = 'euclidean'): + + ''' + This func predict the mean and variance shift the window by 1 new prediction each time, + re-run predictions on new window + + cylindrical : it says the training model was fed with cylindrical data if it is true + x_test and y_test are original data coordinates and not normalised + normalise : say if the model was compiled with normalised data + ''' + + timer = Timer() + timer.start() + + print('[Model] Predicting Sequences with Nearest Started') + + total = len(y_test) + + pred_tracks = [] + pred_sequences_orig = [] + + # if cylindrical is true then we change to cartesian coordinates + ''' + if cylindrical: + y_test = y_test_aux + else: + y_test = y_test + ''' + # bag_of_hits + #bag_of_hits_all = np.array(convert_matrix_to_vec(y_test, n_features)) + + layers, layers_xyz = [] , [] + begin = 0 + for i in range(num_hits): + end = begin+n_features + layer_orig = np.array(y_test.iloc[:,begin:end]).reshape(total, n_features) + layer_xyz = np.array(y_test_xyz.iloc[:,begin:end]).reshape(total, n_features) + begin = end + layers.append(layer_orig) + layers_xyz.append(layer_xyz) + + corrects_by_layer = np.zeros((len(metrics), num_hits)) + begin_idx, end_idx = 0, 0 + num_boh = 6 + + for j in range(total): + # in original coordinates, if was trained with polar then it must be polar coordinate + curr_frame = x_test[j] + # bag_of_hit by track + curr_track = np.array(y_test.iloc[j,0:]).reshape(num_hits, n_features) + + if verbose: + print('curr_track %s , %s:' % (j , curr_track)) + + predicted = [] + predicted_orig = [] + #begin = 0 + for i in range(num_hits): + + # this current hit is in original coordinates + curr_hit = curr_track[i] + + if verbose: + # primeira esta em originais + print('input:\n', curr_frame) + + # if the model was normalized, we need to transform + if normalise: + curr_frame = data.x_scaler.transform(np.reshape(curr_frame,(1, t_steps*n_features))) + curr_frame_orig = data.inverse_transform_x(pd.DataFrame(curr_frame).values) + curr_frame_orig = np.reshape(curr_frame_orig, (t_steps, n_features)) + curr_frame = np.reshape(curr_frame, (t_steps, n_features)) + else: + curr_frame = curr_frame + curr_frame_orig = curr_frame + + if verbose: + print('input:\n', curr_frame) + #print('input orig:\n', curr_frame_orig) + + #print('input inv :\n', curr_frame_inv.reshape(4,3)) + #print('newaxis ', curr_frame[np.newaxis,:,:]) + # input must be scaled curr_frame + # the input and output must be in original coordinates that was compiled + mean, sigma = self.predict_prob(curr_frame[np.newaxis,:,:], bs=1) + + if points_3d: + rho_mean, rho_sigma = mean[:,0], sigma[:,0] + eta_mean, eta_sigma = mean[:,1], sigma[:,1] + phi_mean, phi_sigma = mean[:,2], sigma[:,2] + + rho_pred = norm.median(rho_mean, rho_sigma) + eta_pred = norm.median(eta_mean, eta_sigma) + phi_pred = norm.median(phi_mean, phi_sigma) + + y_pred = np.reshape([rho_pred, eta_pred, phi_pred], (1, n_features)) + + else: + eta_mean, eta_sigma = mean[:,0], sigma[:,0] + phi_mean, phi_sigma = mean[:,1], sigma[:,1] + + eta_pred = norm.median(eta_mean, eta_sigma) + phi_pred = norm.median(phi_mean, phi_sigma) + + y_pred = np.reshape([eta_pred, phi_pred], (1, n_features)) + + if normalise: + y_pred_orig = data.inverse_transform_y(y_pred) + else: + y_pred_orig = y_pred + + + # convert cylindrical to xyz for calculate the distance in the euclidean space + ''' + if cylindrical: + rho, eta, phi = y_pred_orig[0][0], y_pred_orig[0][1], y_pred_orig[0][2] + #print(rho,eta,phi) + x, y, z = convert_rhoetaphi_to_xyz(rho, eta, phi) + + #print(x,y,z) + y_pred_orig[0][0] = x + y_pred_orig[0][1] = y + y_pred_orig[0][2] = z + + #print(y_pred_orig) + ''' + + curr_layer = layers[i] + + for m, metric in enumerate(metrics): + # calculate the nearest hit with a polar distance function + if metric == 'polar': + if points_3d: + dist = distance.cdist(curr_layer, y_pred_orig, distance_cylindrical_3D) + else: + dist = distance.cdist(curr_layer, y_pred_orig, distance_cylindrical_2D) + else: # other distances + dist = distance.cdist(curr_layer, y_pred_orig, metric) + + # get the hit with lowest distance in orignal coordinates + idx = np.argmin(dist) + most_nearest = curr_layer[idx] + + # if curr_hit is in cartesian coord, near_pred must be in cartesian coord too + # very small numbers are differents or equals + # we count how many times we get the correct hit by layer + if np.isclose(curr_hit, most_nearest, atol=tol).all(): + corrects_by_layer[m][i]+=1 + + # removing the hit from layer, mayority of times is not good + if remove_hit: + layers[i] = np.delete(layers[i], idx, 0) + + if verbose: + print('pred:', y_pred) + print('inv pred:', y_pred_orig) + print('current:', curr_hit) + print('nearest:', most_nearest) + + # i think it is not necessary + ''' + if cylindrical: + y, z = near_pred[0], near_pred[1] + #print(x,y,z) + _, eta, phi = convert_xyz_to_rhoetaphi(1, y, z) + #print(rho,eta,phi) + #near_pred[0] = rho + near_pred[0] = eta + near_pred[1] = phi + ''' + # we change to the original input at the same postion + #if cylindrical: + # near_pred = curr_layer_[idx] + + #near adiciona em valores originaeis + predicted.append(most_nearest) + + curr_frame = curr_frame_orig[1:] + curr_frame = np.insert(curr_frame, [3], predicted[-1], axis=0) + + + pred_tracks.append(predicted) + + if verbose: + if j == 10: break + + print('[Model] Prediction Finished.') + timer.stop() + + return pred_tracks, corrects_by_layer def nearest_hit(self, hit, hits, silent = True, diff --git a/core/models/gaussian_loss.py b/core/models/gaussian_loss.py index ddd6ad4..9abb1fb 100644 --- a/core/models/gaussian_loss.py +++ b/core/models/gaussian_loss.py @@ -67,17 +67,17 @@ def gaussian_nll(ytrue, ypreds): """ - #n_dims = int(int(ypreds.shape[1])/2) + n_dims = int(int(ypreds.shape[1])/2) - #mu = ypreds[:, 0:n_dims] - #logsigma = ypreds[:, n_dims:] - dims = ypreds.shape[1] - mu = ypreds[:,0:1] - logsigma = ypreds[:, 1:] + mu = ypreds[:, 0:n_dims] + logsigma = ypreds[:, n_dims:] + #dims = ypreds.shape[1] + #mu = ypreds[:,0:1] + #logsigma = ypreds[:, 1:] mse = -0.5*K.sum(K.square((ytrue-mu)/K.exp(logsigma)),axis=1) sigma_trace = -K.sum(logsigma, axis=1) - log2pi = -0.5*dims*np.log(2*np.pi) + log2pi = -0.5*n_dims*np.log(2*np.pi) log_likelihood = mse+sigma_trace+log2pi diff --git a/core/models/lstm.py b/core/models/lstm.py index 84db586..3dbd67f 100644 --- a/core/models/lstm.py +++ b/core/models/lstm.py @@ -170,20 +170,22 @@ def build_model(self): inputs = Input(shape=(input_timesteps, input_features)) outputs = LSTM(neurons, return_sequences=False, activation='tanh')(inputs) #outputs = LSTM(neurons, return_sequences=False, activation='tanh')(outputs) - outputs = Dense(2, activation='linear')(outputs) + outputs = Dense(neurons/2, activation='linear')(outputs) + outputs = Dense(input_features*2, activation='linear')(outputs) - distributions = Lambda(gaussian_layer_2d)(outputs) + #distributions = Lambda(gaussian_layer_2d)(outputs) #################### - self.model = Model(inputs=inputs, outputs=distributions) + self.model = Model(inputs=inputs, outputs=outputs) if configs['model']['optimizer'] == 'adam': opt = Adam(lr=configs['model']['learningrate']) elif configs['model']['optimizer'] == 'rmsprop': opt = RMSprop(lr=configs['model']['learningrate']) - print(self.model.summary()) - self.model.compile(loss=gaussian_nll, optimizer=opt, metrics=['accuracy']) + + self.model.compile(loss=gaussian_nll, optimizer=opt, metrics=['accuracy']) + print(self.model.summary()) print('[Model] Model Compiled with structure:', self.model.inputs) self.save_architecture(self.save_fname) - timer.stop() \ No newline at end of file + timer.stop() diff --git a/core/utils/metrics.py b/core/utils/metrics.py index 6e4732e..c4c8d49 100644 --- a/core/utils/metrics.py +++ b/core/utils/metrics.py @@ -41,15 +41,15 @@ def evaluate_training(history, save_to, keyword): # acc=history['val_acc'][-1], loss=history['val_loss'][-1])) report_string = 'accuracy: {acc}, loss: {loss}, val_acc: {val_acc}, val_loss: {val_loss}'.format( - acc=history['val_acc'][-1], + acc=history['accuracy'][-1], loss=history['val_loss'][-1], - val_acc=history['val_acc'][-1], + val_acc=history['val_accuracy'][-1], val_loss=history['val_loss'][-1]) print(report_string) # summarize history for accuracy - plt.plot(history['acc']) - plt.plot(history['val_acc']) + plt.plot(history['accuracy']) + plt.plot(history['val_accuracy']) plt.title('model accuracy') plt.ylabel('accuracy') plt.xlabel('epoch') diff --git a/core/utils/transformation.py b/core/utils/transformation.py index 0f225b8..d01d49a 100644 --- a/core/utils/transformation.py +++ b/core/utils/transformation.py @@ -142,7 +142,18 @@ def parts_from_tracks(tracks): hits = tracks[:, 7:] return indexes, vertices, momenta, hits +def distance_cylindrical_2D(a, b): + r0, theta0 = a[0] , a[1] + r1, theta1 = b[0] , b[1] + return np.sqrt(r0**2 + r1**2 - 2*r0*r1*np.cos(theta0 - theta1)) + +def distance_cylindrical_3D(a, b): + r0, eta0, phi0 = a[0] , a[1], a[2] + 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parser = argparse.ArgumentParser(description="LSTM implementation ") + parser = argparse.ArgumentParser(description="Script for Inference") # Dataset setting parser.add_argument('--config', type=str, default="default_config.json", help='Configuration file') parser.add_argument('--dataset', type=str, help='Path to dataset') parser.add_argument('--cylindrical', type=str, help='Type of Coordenates system') - parser.add_argument('--load', type=str, help='this param load model') + parser.add_argument('--load', type=str, help='load predifined model') parser.add_argument('--normalise', type=str, help='normalise input data') parser.add_argument('--typeopt', type=str, help='type of optimization of predicted value') + parser.add_argument('--samples', type=int, default=0, help='select a short dataset of samples used for testing quickly') + parser.add_argument('--remove', type=str, help='when apply nearest optimization, you could set if you want to remove hit found') # parse the arguments args = parser.parse_args() @@ -90,7 +92,9 @@ def main(): type_opt = configs['testing']['type_optimization'] tolerance = configs['testing']['tolerance'] - metric = configs['testing']['metric'] + metrics = configs['testing']['metric'] + remove_hit = configs['testing']['remove_hit'] + show_metrics = configs['testing']['show_metrics'] loadModel = configs['training']['load_model'] @@ -110,8 +114,13 @@ def main(): configs['data']['normalise'] = normalise if args.typeopt is not None: type_opt = args.typeopt - configs['testing']['type_optimization'] = type_opt - + configs['testing']['type_optimization'] = type_opt + if args.samples is not None: + samples = args.samples + if args.remove is not None: + remove_hit = True if args.remove == "True" else False + configs['training']['load_model'] = remove_hit + #create a encryp name for dataset path_to, filename = os.path.split(data_file) @@ -151,21 +160,28 @@ def main(): kind_norm = KindNormalization.Scaling else: print('error type normalization') + # prepare data set data = Dataset(data_file, split, cylindrical, num_hits, kind_norm, points_3d=points_3d) # we need to load a previous distribution of training data. If we have testing stage divided # pay attention x_scaler and y_scaler have the same distribution normalized of training stage - print('[Data] Loading distribution from ', output_encry) - x_scaler, y_scaler = data.load_scale_param(output_encry) + x_scaler, y_scaler = None, None + + if normalise: + print('[Data] Loading distribution from ', output_encry) + x_scaler, y_scaler = data.load_scale_param(output_encry) + print("[Data] Get testing data ...") X_test, y_test = data.get_testing_data(n_hit_in=time_steps, n_hit_out=1, n_features=n_features, normalise=False, xscaler=x_scaler, yscaler=y_scaler) - # a short dataset - #X_test = X_test.iloc[0:1000,] - #y_test = y_test[0:1000] + # a short dataset for testing propose + + if samples > 0: + X_test = X_test.iloc[0:samples,] + y_test = y_test[0:samples] print('[Data] Data shape X_test.shape:', X_test.shape) print('[Data] Data shape y_test.shape:', y_test.shape) @@ -192,15 +208,22 @@ def main(): correct_nearest = [0] y_pred = None if cylindrical: + print('[Data] Loading auxilary dataset in Cartesian Coordenates ...') + # get data in cartesian coordinates (x, y, z) + data_tmp = Dataset(data_file, split, False, num_hits, kind_norm, points_3d=points_3d) + + # for cylindrical True always we need the data as original values with normalise False + X_test_aux, y_test_aux = data_tmp.get_testing_data(n_hit_in=time_steps, n_hit_out=1, + n_features=n_features, normalise=False) + + if samples > 0: + X_test_aux, y_test_aux = X_test_aux.iloc[:samples,:], y_test_aux.iloc[:samples,:] + if type_opt == "normal": y_pred = model.predict_full_sequences(X_test_, data, num_hits=6, normalise=normalise) elif type_opt == "nearest": - # get data in coord cartesian - data_tmp = Dataset(data_file, split, False, num_hits, kind_norm, points_3d=points_3d) - # for cylindrical True always we need the data as original values with normalise False - X_test_aux, y_test_aux = data_tmp.get_testing_data(n_hit_in=time_steps, n_hit_out=1, - n_features=n_features, normalise=False) + if not is_parallel: y_pred, correct_nearest, correct = model.predict_full_sequences_nearest(X_test_, y_test, data, BagOfHits.Layer, y_test_aux, seq_len, normalise=normalise, cylindrical=True, num_features=n_features, num_obs=time_steps, @@ -208,7 +231,17 @@ def main(): else: y_pred, correct_nearest, correct = model.predict_full_sequences_nearest_parallel(X_test_, y_test, data, BagOfHits.Layer, y_test_aux, t_steps=time_steps, t_features=t_features, n_features=n_features, num_hits=seq_len, - normalise=normalise, cylindrical=True, verbose=False, tol=tolerance, metric=metric) + normalise=normalise, cylindrical=True, verbose=False, tol=tolerance, metric=metrics) + elif type_opt == "gaussian": + + # we had better result when pass cylindrical false + cylin = True + y_pred, correct_nearest = model.predict_prob_full_sequences_nearest(X_test_, y_test, data, BagOfHits.Layer, y_test_aux, + t_steps=time_steps, t_features=t_features, n_features=n_features, num_hits=seq_len, + normalise=normalise, cylindrical=cylin, verbose=False, tol=tolerance, remove_hit=remove_hit, + points_3d=points_3d, metrics=metrics) + else: + print('no optimization found') else: if type_opt == "normal": y_pred = model.predict_full_sequences(X_test_, data, num_hits=6, normalise=normalise) @@ -220,9 +253,15 @@ def main(): else: y_pred, correct_nearest, correct = model.predict_full_sequences_nearest_parallel(X_test_, y_test, data, BagOfHits.Layer, None, t_steps=time_steps, t_features=t_features, n_features=n_features, num_hits=seq_len, - normalise=normalise, cylindrical=False, verbose=False, tol=tolerance, metric=metric) + normalise=normalise, cylindrical=False, verbose=False, tol=tolerance, metric=metrics) + elif type_opt == "gaussian": + print('prediction gaussian') + y_pred, correct_nearest = model.predict_prob_full_sequences_nearest(X_test_, y_test, data, BagOfHits.Layer, None, + t_steps=time_steps, t_features=t_features, n_features=n_features, num_hits=seq_len, + normalise=normalise, cylindrical=False, verbose=False, tol=tolerance, remove_hit=False, + metric=metrics) else: - print('no algorithm defined to predict') + print('no optimization found') y_predicted = convert_vector_to_matrix(y_pred, n_features, seq_len) y_predicted = to_frame(y_predicted) @@ -269,16 +308,26 @@ def main(): print("\t Tracks : ", total_tracks) print("\t Model saved : ", model.save_fnameh5) print("\t Test date : ", now.strftime("%d/%m/%Y %H:%M:%S")) - print("\t Coordenates : ", coord) + print("\t Coordenates : ", coord) + print("\t Coordenate 3D : ", points_3d) print("\t Model Scaled : ", model.normalise) print("\t Model Optimizer : ", optim) print("\t Prediction Opt : ", type_opt) - print("\t Distance metric : ", metric) + print("\t Distance metric : ", metrics) + print("\t Remove hit : ", remove_hit) + ''' print("\t Correct hits per layer Nearest %s of %s tracks tolerance=%s: " % (correct_nearest, total_tracks, tolerance)) print("\t Porcentage correct hits :", [str(round((t*100)/total_tracks, 2)) +"%" for t in correct_nearest]) print("\t Correct hits per layer with Normal %s of %s tracks tolerance=%s: " % (correct, total_tracks, tolerance)) print("\t Porcentage correct hits :", [str(round((t*100)/total_tracks, 2)) +"%" for t in correct]) + ''' + + for m, metric in enumerate(metrics): + corrects = correct_nearest[m] + corrects = [ str(t) +"("+ str(round((t*100)/total_tracks, 2)) +"%)" for t in corrects] + print("\t Correct hits per layer (%s) %s of %s tracks: " % (metric, corrects, total_tracks)) + # calculate the number of reconstructed tracks true_tracks = np.concatenate([X_test, y_test], axis = 1) pred_tracks = np.concatenate([X_test, y_predicted], axis = 1) @@ -287,17 +336,18 @@ def main(): tracks = pd.concat([true_tracks, pred_tracks]) tracks_ = tracks[tracks.duplicated(keep='first')] - print('\t Reconstructed tracks: %s of %s tracks (%s)' % (tracks_.shape[0], total_tracks, (tracks_.shape[0]*100)/total_tracks)) + print('\t Reconstructed tracks: %s of %s tracks (%s%)' % (tracks_.shape[0], total_tracks, (round(tracks_.shape[0]*100)/total_tracks, 2)) - # metrics for nearest - _,_,_,_,result = calc_score(data.reshape2d(y_test, 1), - data.reshape2d(y_predicted, 1), report=True) - print(result) + if show_metrics: + # metrics for nearest + _,_,_,_,result = calc_score(data.reshape2d(y_test, 1), + data.reshape2d(y_predicted, 1), report=True) + print(result) - calc_score_layer(y_test, y_predicted, n_features=3) + calc_score_layer(y_test, y_predicted, n_features=3) - mses, rmses, r2s = calc_score_layer_axes(y_test, y_predicted) - summarize_scores_axes(mses, rmses, r2s) + mses, rmses, r2s = calc_score_layer_axes(y_test, y_predicted) + summarize_scores_axes(mses, rmses, r2s) sys.stdout = orig_stdout f.close() diff --git a/main_train.ipynb b/main_train.ipynb index 041526a..2ecbd0d 100644 --- a/main_train.ipynb +++ b/main_train.ipynb @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -91,7 +91,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -105,10 +105,10 @@ "source": [ "# reading config file\n", "# load differents configurations \n", - "#configs = json.load(open('config_lstm_parallel_internal.json', 'r'))\n", - "configs = json.load(open('config_lstm_parallel_internal_all.json', 'r'))\n", - "#configs = json.load(open('config_mlp_gaussian.json', 'r'))\n", - "#configs = json.load(open('config_lstm_gaussian.json', 'r'))\n", + "#configs = json.load(open('configs/config_lstm_parallel_internal.json', 'r'))\n", + "#configs = json.load(open('configs/config_lstm_parallel_internal_all.json', 'r'))\n", + "#configs = json.load(open('configs/config_mlp_gaussian.json', 'r'))\n", + "configs = json.load(open('configs/config_lstm_gaussian.json', 'r'))\n", "\n", "\n", "# create defaults dirs\n", @@ -131,6 +131,7 @@ "arch = configs['model']['layers']\n", "is_parallel = configs['model']['isparallel']\n", "over_write = configs['model']['overwrite']\n", + "lr = configs['model']['learningrate']\n", "\n", "loadModel = configs['training']['load_model']\n", "validation_split = configs['training']['validation']\n", @@ -158,12 +159,12 @@ "\n", "if os.path.isdir(output_logs) == False:\n", " os.mkdir(output_logs) \n", - "print('Readed')" + "print('Readed')\n" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -176,7 +177,8 @@ "[Data] Data test shape (6000, 30)\n", "[Data] Data coordinates cylin\n", "[Data] Data normalization type KindNormalization.Scaling\n", - "[Data] Shape supervised: X(144000, 12) y(144000, 3) :\n" + "[Data] Shape supervised: X(144000, 12) y(144000, 3) :\n", + "[Data] Normalised : True\n" ] }, { @@ -217,78 +219,78 @@ " \n", " \n", " 0\n", - " -0.994612\n", - " 0.191916\n", - " 0.056131\n", - " -0.834097\n", - " 0.273532\n", - " 0.054053\n", - " -0.850836\n", - " 0.208417\n", - " 0.051335\n", - " -0.844055\n", - " 0.084845\n", - " 0.045496\n", + " -3.124665\n", + " 0.602923\n", + " 0.176340\n", + " -2.620393\n", + " 0.859325\n", + " 0.169814\n", + " -2.672981\n", + " 0.654761\n", + " 0.161274\n", + " -2.651677\n", + " 0.266549\n", + " 0.142931\n", " \n", " \n", " 1\n", - " -0.759050\n", - " 0.217656\n", - " 0.052578\n", - " -0.643922\n", - " 0.282194\n", - " 0.050409\n", - " -0.665107\n", - " 0.213588\n", - " 0.046944\n", - " -0.585823\n", - " 0.089207\n", - " 0.038217\n", + " -2.384626\n", + " 0.683787\n", + " 0.165180\n", + " -2.022942\n", + " 0.886538\n", + " 0.158366\n", + " -2.089496\n", + " 0.671006\n", + " 0.147480\n", + " -1.840416\n", + " 0.280253\n", + " 0.120063\n", " \n", " \n", " 2\n", - " -0.489969\n", - " 0.225938\n", - " 0.048941\n", - " -0.411146\n", - " 0.286473\n", - " 0.046023\n", - " -0.356408\n", - " 0.217336\n", - " 0.039704\n", - " -0.302234\n", - " 0.091680\n", - " 0.030187\n", + " -1.539282\n", + " 0.709806\n", + " 0.153752\n", + " -1.291654\n", + " 0.899981\n", + " 0.144585\n", + " -1.119688\n", + " 0.682782\n", + " 0.124734\n", + " -0.949496\n", + " 0.288021\n", + " 0.094836\n", " \n", " \n", " 3\n", - " -0.160610\n", - " 0.230030\n", - " 0.044562\n", - " -0.024250\n", - " 0.289575\n", - " 0.038789\n", - " -0.017396\n", - " 0.219461\n", - " 0.031717\n", - " 0.090440\n", - " 0.092994\n", - " 0.019014\n", + " -0.504570\n", + " 0.722659\n", + " 0.139996\n", + " -0.076183\n", + " 0.909727\n", + " 0.121858\n", + " -0.054652\n", + " 0.689457\n", + " 0.099643\n", + " 0.284127\n", + " 0.292150\n", + " 0.059734\n", " \n", " \n", " 4\n", - " 0.386816\n", - " 0.232996\n", - " 0.037341\n", - " 0.400637\n", - " 0.291333\n", - " 0.030809\n", - " 0.452019\n", - " 0.220590\n", - " 0.020604\n", - " 0.534277\n", - " 0.094430\n", - " 0.006020\n", + " 1.215219\n", + " 0.731977\n", + " 0.117310\n", + " 1.258638\n", + " 0.915251\n", + " 0.096789\n", + " 1.420061\n", + " 0.693005\n", + " 0.064729\n", + " 1.678481\n", + " 0.296660\n", + " 0.018911\n", " \n", " \n", "\n", @@ -296,21 +298,21 @@ ], "text/plain": [ " 0 1 2 3 4 5 6 \\\n", - "0 -0.994612 0.191916 0.056131 -0.834097 0.273532 0.054053 -0.850836 \n", - "1 -0.759050 0.217656 0.052578 -0.643922 0.282194 0.050409 -0.665107 \n", - "2 -0.489969 0.225938 0.048941 -0.411146 0.286473 0.046023 -0.356408 \n", - "3 -0.160610 0.230030 0.044562 -0.024250 0.289575 0.038789 -0.017396 \n", - "4 0.386816 0.232996 0.037341 0.400637 0.291333 0.030809 0.452019 \n", + "0 -3.124665 0.602923 0.176340 -2.620393 0.859325 0.169814 -2.672981 \n", + "1 -2.384626 0.683787 0.165180 -2.022942 0.886538 0.158366 -2.089496 \n", + "2 -1.539282 0.709806 0.153752 -1.291654 0.899981 0.144585 -1.119688 \n", + "3 -0.504570 0.722659 0.139996 -0.076183 0.909727 0.121858 -0.054652 \n", + "4 1.215219 0.731977 0.117310 1.258638 0.915251 0.096789 1.420061 \n", "\n", " 7 8 9 10 11 \n", - "0 0.208417 0.051335 -0.844055 0.084845 0.045496 \n", - "1 0.213588 0.046944 -0.585823 0.089207 0.038217 \n", - "2 0.217336 0.039704 -0.302234 0.091680 0.030187 \n", - "3 0.219461 0.031717 0.090440 0.092994 0.019014 \n", - "4 0.220590 0.020604 0.534277 0.094430 0.006020 " + "0 0.654761 0.161274 -2.651677 0.266549 0.142931 \n", + "1 0.671006 0.147480 -1.840416 0.280253 0.120063 \n", + "2 0.682782 0.124734 -0.949496 0.288021 0.094836 \n", + "3 0.689457 0.099643 0.284127 0.292150 0.059734 \n", + "4 0.693005 0.064729 1.678481 0.296660 0.018911 " ] }, - "execution_count": 6, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -327,12 +329,13 @@ " n_features=n_features, normalise=normalise)\n", "\n", "print('[Data] Shape supervised: X%s y%s :' % (X_train.shape, y_train.shape))\n", + "print('[Data] Normalised :', normalise)\n", "X_train.head()" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -340,6 +343,7 @@ "output_type": "stream", "text": [ "[Data] Saving distributions at results/MEnGHa5DCmJGE9C9BpAg4i\n", + "[Data] Shape Tensor X_train.shape: (144000, 12)\n", "[Data] Shape Tensor y_train.shape: (144000, 3)\n" ] } @@ -352,6 +356,7 @@ "if type_model == 'lstm' or type_model == 'cnn' or type_model == 'gaussian-lstm':\n", " if not is_parallel:\n", " X_train_ = data.reshape3d(X_train, time_steps, t_features)\n", + " y_train_ = y_train\n", " print('[Data] Shape Tensor X_train.shape:', X_train.shape)\n", "elif type_model == 'lstm-parallel' or type_model == 'cnn-parallel':\n", " if not is_parallel:\n", @@ -377,7 +382,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ @@ -389,14 +394,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 33, "metadata": { "scrolled": true }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -410,18 +415,50 @@ "name": "stdout", "output_type": "stream", "text": [ - "Accuracy\n", - "\ttraining \t (min: 0.978, max: 0.995, cur: 0.994)\n", - "\tvalidation \t (min: 0.993, max: 0.996, cur: 0.996)\n", + "accuracy\n", + "\ttraining \t (min: 0.734, max: 0.996, cur: 0.996)\n", + "\tvalidation \t (min: 0.982, max: 0.996, cur: 0.996)\n", "Loss\n", - "\ttraining \t (min: 0.000, max: 0.001, cur: 0.000)\n", - "\tvalidation \t (min: 0.000, max: 0.000, cur: 0.000)\n", - "[Model] Model for inference saved at /data/track-ml/eramia/compiled/model-lstm-parallel-MEnGHa5DCmJGE9C9BpAg4i-coord-cylin-normalise-true-epochs-30-batch-60.h5\n", + "\ttraining \t (min: -9.172, max: 5.658, cur: -9.112)\n", + "\tvalidation \t (min: -9.108, max: -4.823, cur: -8.801)\n", + "[Model] Model for inference saved at compiled/model-gaussian-lstm-MEnGHa5DCmJGE9C9BpAg4i-coord-cylin-normalise-true-epochs-30-batch-30.h5\n", "[Model] Model training stopped at 0 epoch\n", - "[Model] Training Completed. Model h5 saved as /data/track-ml/eramia/compiled/model-lstm-parallel-MEnGHa5DCmJGE9C9BpAg4i-coord-cylin-normalise-true-epochs-30-batch-60.h5\n", - "[Model] Model train with structure: [, , ]\n", - "Time taken: 0:19:22.226278\n", - "Time taken: 0:19:22.228899\n" + "[Model] Training Completed. Model h5 saved as compiled/model-gaussian-lstm-MEnGHa5DCmJGE9C9BpAg4i-coord-cylin-normalise-true-epochs-30-batch-30.h5\n", + "[Model] Model train with structure: []\n", + "Time taken: 0:11:32.287923\n", + "accuracy: 0.9960790872573853, loss: -8.800642013549805, val_acc: 0.9963095188140869, val_loss: -8.800642013549805\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[Output] Metrics saved at %s results/MEnGHa5DCmJGE9C9BpAg4i/evaluation-loss_gaussian-lstm_cylin.png\n", + "Time taken: 0:11:32.584750\n" ] } ], @@ -467,15 +504,15 @@ " history = model.train(\n", " x=X_train_,\n", " y=y_train_,\n", - " validation=0.3,\n", - " epochs=50,\n", + " validation=validation_split,\n", + " epochs=epochs,\n", " verbose=False,\n", - " batch_size=60,\n", + " batch_size=batch,\n", " shuffle=shuffle_train,\n", " callbacks=[early_stop, plotlosses, terminate_nan]\n", " )\n", - " if show_metrics:\n", - " report = evaluate_training(history, output_encry, ident_name)\n", + " #if show_metrics:\n", + " report = evaluate_training(history, output_encry, ident_name)\n", " timer.stop()\n", "elif loadModel: \n", " if not model.load_model():\n", @@ -485,52 +522,20 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "accuracy: 0.9961110949516296, loss: 8.26694376883097e-05, val_acc: 0.9961110949516296, val_loss: 8.26694376883097e-05\n" - ] - }, - { - "data": { - "image/png": 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BMjXBqBdbOH3qcQ1k7DeDd0UseQN+ehJ6ToCLnyq9T5Ed4cZvjA1i6uVGMHrCrl/Nc+zZ5tnXH876I9y9zNgJ5v0dNnxZcTupe40dq+PIss85/6/GJvHdH8uPi5r9kHFeGfs2BJURGBzdDxq1hTVlqMAKC0y/OwyHwIYnltULgQmfGeE3bTxkpZR/b2BUX74B5j9SFURg1PNGYC54vGR5gQu+vQd+eR763AhXvmu+i5OEFSqnOxkHwMcfgsOPH/P1Nx4leZmOAd8L7F1pZvAdLi77nPMeMQLvl+e904eTwb41xjjbtMuJx1sNMfe3foYx1u5eXNIwvWqqGegv+oeZKVdEVF9zrYQK3JaLjPRRfcxzhxFmsKvIYL9lNvzwMHS6FC5/pXyvpaZdjWDJTTeu1J6w8xdo1Oa400YRYS2Nt1FYDKz6sOJ2tv5gnjteUvY5AfWNzeHAerPqKo2N38CaaXDOn42toixEjGDe9QscTShZvutX8z/rdlXp9UObwJVTIPOg8eKqiIRlZkJQHdtG0y4w+C7jnp6w/PjxvCz49DrjMDH0L8apwNMYnBrCq0JFREaIyBYRiReRh0spDxeRr0RkrYgsE5FubmV/FJH1IrJBRO53O/64iOwVkTjncYlb2WTnWltEpJzR7gwhL8u4HIZEmpWJO8GNTFBXWpJ3Ity3zjEDYLsLyj4nsoNR+Sx9AzZ8XfN9OBnsc4z0/kEly875kzF+Ln4F3hsJT0XDa4Pg67uMcXTO34wqqK+HgaABodCsW8WxMHtXgm89aOr8XfwDzapw03dle9xlpcC395k6V03xbKBp3gN6XgPxC8xvrTwKC4xgLVqlFMfHB3pdZ4RsaQO3O1tmQ3hrs2Iqj86Xms9/4VMlV1Pp++G7+6F5Lzj3L+W3A9BjnHleV0qaofUzoF798idQ0f2gYUzFQsWVa35TLftX3KeKOPdhqN8CZj5gVidZKfDBaPPfHPW8Wc3VQiZyrwkVEfEFXgNGAl2Aa0Wk2HSPR4A4Ve0B3Ai85NTtBtwGDAB6ApeKSHu3ev9V1V7OY5ZTpwswHugKjABed/pw5pJx0AiTkIiSZSLGXVELIW1vzV972xyjrgkKL/+8kf8xAZFf3m5SUpxOqBr1V/My4jZ8fOHaafB/W+HaT2Hog2ZWvnUOzJkMWmCi3SsTx9BykBEa5U0EklYb4eA+0+0xHvKzYPP3pdeZ+X/GW2/Mm5WbIXcaZVabFbnc7l8HuakQO7Tsc3pNMM9rPin7nNwM2LnIrFI8GRAvecb8B2b9+bgaUtVEjOdnwdh3PFP9NGptPvs1n56oznTlmhVPp1GlTyyKEDHnbP+xfFf6fWugIK/q9hR3AkJh5NPms//xnzDlYtP+uA9MzFMt4c2VygAgXlV3qGoeMB0YXeycLsACAFXdDMSKSFOgM7BEVbNU1QUsAsZUcL3RwHRVzVXVnUC804czE1cu5ByB4MbGhbM0/AMhtKkZTKoThVuctCTzQy7N6FmiD0Fw7XSjEvlkfOUMv9UlP9szHXdZpO11bBcVBAPWbwodR8CwR+C6z+HBeLh/Pdy1xKiDKkPMQDMYluUiXFhgBF2R6utYvUEQ1qp0u8CGr4xN4NyHTABdZWh1llGtVTQD3/WLeS4veDMsxsQxrf6obHfY7T+aQbc8e4o7DaPh/L8Z+95GZzW84l2InwcX/dOslj2l5zUmKeq+uOPH4hcY54PuZai+3Ok0CgpyyxfACc7EKrqGhqbOlxu75m8vmtXZDV8aV+laxJtCJQpwX+cmOsfcWQOMBRCRAUArIBpYDwwVkQgRCQYuAVq61bvHUZlNEZGiqbIn1zst8Cj1fWYyIEb15caLL75IVpabqiK0qTEKplczlYc7RbEU7T3UMIZEwHUzzOuPryrbY6Um2b8OXh8Eb55jVANVYd8a89y8Z+XqiZgVS3iryl+z5SDznFDGqu7QNshLN/aX4tfscY1RL6UlHT+ecRC+/xO06GNiPiqLr7+x2WydXf7nuOtXY+xu0KL89nrfYNLe7P619PIts02Ue8wgz/s44HbzHc1+yKzy5vwN2l4AA27zvA0wKkTfema1UsT6GcbDsc15FdePGWxW7uUJ4ISlEB5rJiI1QZHRvusYmDi7bPXjScSbQqW0tWtxN5mngXARiQPuBVYDLlXdBPwHmAf8gBE+Rb/oN4C2QC9gH1BkBfbkeojI7SKyQkRWJCefml5JFQqVApcZmIPCS7gJlhAqPj7GvpKfVXO2la1zjWqtSWfP60S0NSuW1L0w/VrvujvHfWLyJGUcNJ4/u36uWjtJcUa10rRbxefWFA2jzGdbll0lyTHSt+hTsqzneEBN2hZwvM/uNw4EY96susG20ygn0PX30suL7Cmtz6m4rc6XQkBDWF1KIsPCAmOkbz+8ct5Kvn7Guy4zGaaMMOq90a9V3p4QFG4E6PoZ5r+Sl2mEXNcrPOuPrx90GGnuobT/mqox0tfUKqWI8Fi4+n1jjzsF8KZQSeTE1UU0kOR+gqqmqepEVe2FsalEAjudsndVtY+qDgVSgG3O8QOqWqCqhcA7HFdxVXg9p/7bqtpPVftFRkYWLz75FBZC4YkzQPfU9w8++CDPPvss/fv3p0ePHjz22GOQlUxmViajrruDnj170q1bNz799FNefvllkpKSGDZsGMOGDTveYEAD85xbAyqw/BzYsdAYLSv7p40ZaFw7E5aZ2AFPI4I9xZVrZuVfTzIxDncvNQbWdV9Urb19cRDZqWbyWFWGlgPNjLY0V+W9q4wDRuP2Jcsi2pr7Lpppr/0Utsw0+dgqMnqXR9sLzGq3rBn4vjXmtxXrgVDxD4LuVxo7RfGI+IRlxqPQU9WXOy16m9iVgjyTtaBB88q3AUYwF6Vt2TLbTMbK8voqjU6jIOeoEbLFObrbeJGV54l2BuBNX7PlQHsRaQ3sxRjRJ7ifICJhQJZjc7kV+FlV05yyJqp6UERiMCqywc7x5qpapMsZg1GVAXwLTBORF4AWQHugehsGzH648ukvKqJZd5M3KDfdBLnlpprZcJMux+I93FPfz507lxkzZrBs2TJUlcsvu4yf5/9AcmoWLaJaMnOWcb9MTU2lYcOGvPDCCyxcuJDGjd3ScvsHGbtLThoEl2LUrwy7fzV/NE9VX8XpegWk/tMEZc2NguH/qlpCvuKkJsJnN8HeFTDkPrjgMTNz7Hyp8Yoa9Xzl8h0VGenbXVj9vlWWmEFmtpyaUNIVee9KM4CWlSK9xzXGaL11Lsz6i1GnDbqrev0JCDVZbTfPNIkMi08misenVESv62HFFGPr6fuH48e3zDLu8eV5FJbH8H+ZvGrVmbG3u8iou9ZMN6vpBlFGreUpbc83qW42zzQpXdwpcv2tCSP9KYzXhIqqukTkHmAO4AtMUdUNIjLJKX8TY5D/QEQKgI3ALW5NfCEiEUA+cLeqHnGOPyMivTCqrV3AHU57G0TkM6cdl1PnFNrbVs2KJDfV+NZroRnoAxqYmU1WSsnoYWDu3LnMnTuX3r1NoFtGeirbduzinIuv4M//eI6HHnqISy+9lHPOKWeWKOJcJ9UMltVxM9w61/xpPFF1lMXge0yG3SWvmay9l/63fANyYSFs/MpEZLvyzD4WIY2Nk0JIY7NB2G8vmrJxH5hkjUV0v8p4G8XPM5mAPSV9v4k7qKw9pSYoGnT2LD1RqLhyzW9nYDl7unS7En6YbDIP+/ia6P+a2KOj0yij1tm/rmTQ3q5fIaI91G/mWVtRfSCyszHYnyBUHJtA8QBDT/H1q74KyK8edBvrOBMUmP1zKjPpqRdsBMvmmcbz0f2/lrDUrDKbFHeCPbPwalSM4+47q9ixN91e/45ZUZRWt9RRS1XLzHWhqv8G/l2lzpbGyKdrph1VY2DNzzSCJDDMRPfWCzU/uuStZgALaVxiwFdVJk+ezB133GEE0YGN5offuAMrV65k1qxZTJ48meHDh/P3v/+97D4ENjCqhbxMM/OsCrnpZmBpPbR898qKEIGRzxi7wNy/mUR/AyfBsMkmqK0IVaOGWPAPo2KJ7GxUPJmHzOCWecgIZDBqqms+KqkWan2eET7rZlROqBR5AFUnDXxVadLF/DYSlkCPq48fP7DeqHeKe365E9zI2CS2zISLnzOfV03QYSQgZrB0FyoFLqPq8cQ7qggR6H2d+e6TtxjV3KFtcHibMbrXNj3GmxQwUDnVVxGdRpnPf9+aE38/CUuNg4WvHwkpWby2MJ5Af1+u7BNNt6gGSBUmezn5BXy1ei+LtiRzUZemXNazBfX8ajem3e6ncjLIyzQCpX4LE31b/McT2gSO7DQDZFD4CanvL774Yh599FGuu+46Qn1y2bt3L/6R7XAlJdGoUSOuv/56QkNDef/994HjafNPUH/B8cE6N61yQiX7qBEkG78x7pUFucaFs7qIQK9rjW1mwT/MqmXDV0aQd77c2A7mP2ZcVRvGwJi3THbZ4rPuApcRlsERpc/Iff2Mym31R0Yougut8igy0lfWBbcm8PUzwXTF43qORdL3LVnHnWGPGBVZv1vKP68yhEYatdzmmUb4F7F/jfFGq6zXUY9rYP7j5nsZ/k+zSgHjml3bRPeDiHaAlFip5uQXkJKZR4uwciZVHUaY387mmceFSm4GHFhP/pAHeGnOFt7+ZQc+Yhbh7y/eRYemoYztE82Y3lE0bVCxmvZAWg4f/r6bj5fu5khWPmHB/vywYT/PztnCzWfHcu2AGOoHnrzULO5YoXIyyDhoos9DIktXPQU2NIbQjAMQGHZC6vuRI0cyYcIEBg8eDK5cQkOC+Wj6DOI3rePBBx/Ex8cHf39/3njjDQBuv/12Ro4cSfPmzVm4cOHxa/j4mTxFuWkYk1M5FBYaI++GL2H7QijMN7rlfjebAboy7p4VEdzIeO70ut7k0frsRmjc0cQLBDeGEf8xe0iUFbDn61fxBk7drjIzz82zTCyCJ+yLg8YdzGdWG7QcZNK056SZVSaYoMfgxsY7rDyadfOOJ1CnUWZ1cWQXrgYxuAqVwMraU4oIbWLscmumm3TuW2abfXk8SWfjbURg/CfHXzss3HKQv321nr1Hs+nbKpzrBsZwSffmBPoXm8yERJiEj5tnmqh2QPeuQLSQvywN4quMeEb3asHDIzsR7O/H9+uS+GJlIk/P3swzP2zmrHaNObdDJI1C6hEW7E/DIPMcFuRP0tEcpvy2k+/XJuEqVC7q3JRbzm5N/9hGLNqWzNuLdvDkrM28siCeCQNjmHhWa5o19N7eKaUh6q2Eg6cB/fr10xUrTkzet2nTJjp3roSrbEW4ckzm2dCm5fvwZx4yhtmIdqXPprOPmASG4bEVR7GXRfp+E6/StNsxF8lS77doh7iGMSaQqssVZnZcEwb18ihwwbK3jLtpl8vNzpGerizKo7AQXuxu8iVd97lndZ7vZNR8Y6uwV0ZNsP1Hs2/IDV8ZHT2YTL9hMZ7fQ01zeDu80oeMYf9i/Npe7E/NYUHTV2mYmwT3LK+4fnE2zzLu5aNfM/vNnPPnY4NwTZKek893a/ZxcdemRIRWPt9WcnouT3y/ke/WJNGuSSiX9WjB13F72Xkok4ZB/lzVN5prB8TQrombBuD312HOZFJvXcZWVyTbPn+MCZkfMD58On8ePZB+sSV3Dt15KJMvVyXy5aq97D1atst9SD1fxvVvycQhrYmJKOmZuC4xlbd+3s6sdfvwEaFT8/q0jQylXWQobZuE0q5JKK0iggnwq7qtTURWqmop6cntSsX7lBGkWIKgRmbAzzhQciBVhfQDZjUTWEamVU8IaGCukVuOF1hhgdl4qEUfuO3Hk5s7yNfPCJKa3obYx8cYX5e8bhwiKtoKOP2A+ZzKSs9yMojub1Qoe5YaoZKbbuwPXa6ovT5FtCUvohPbFk0nPr8dzUL98E1cwvbYy6mS5ab9ReZ/8cMjxl5YFVficlBVZq3bzxPfb+BAWi6vLYznzev70j3aM0cAVeWzFQk8OWsz2XkFPHBhByad14YAP1/uu6Adv28/zMfL9jB18S7e/XUn3aNMu0ez8wjNqs9s4OU3XuLdglF8FLSe1NC2TLt3BD4+pf+nWjcO4f+Gd+RPF3UgNTuf1Ox8jmblczQ7nwJ5NAwAACAASURBVKNZeRzNyqeenw+jejSnQTmqre7RDXl1Qh8SUrKYtmwPG5LSWLHrCN/EHY+w8PURxvaO4tmra94RxQoVb1LoJHkLCq84eMrHx/zB0vcZl11/txlIbprJvxQWU71B3j/IuGyW51q8ZTak7DD7L9RCMjqv0f0qWPyySeXRr4IEj7VppC8ioL7JFFyUsXjfGkArtqd4kU370lh8pBt/KPyC6dd3pK3fQUI/zOHhbU1pPnMjD4/sjG8ZA2ap+PqbuJDFr5g09jUoxHcfzuTRbzbw89ZkurZowMMjO/HcnK1c+eZi/n1FN67uV74KcduBdP729XqW7kxhQGwjnhzbjXZNjk/2RIQh7RozpF1jktNz+XxlAj9tSSakni/tmoTSMKgpB7e05zb/TfQ4dzJnzdmBtL8MPPh8RISw4HqEBdejVTUiAFo2CuahEZ2Ovc/Kc7EjOZPtyRnEH8wgppF34q+sUCkFVa2SJ0YJMg+bGVgprsKlEtLYrFQyDho1l+mMs0qpV3W1VxEiEFgfso1rcamKz99fNWqvzrWbP6jGadbD2EjWfVGxUEmKA6R2jPTutBxk3KELXMc3gCrP88uLLNuZwi1Tl9PHbyC3FM6gV/YS81sFYvoM5/VfdrLtYAYvX9u7xCw6NSufZbtS2JGcweheUSfq+Htdb4RKh4tLVa+qKgfTc9l1KJPdh7PYdTiTXYczyXMV0r5pfTo1q0/HZvVp0ziUen4+5LoKeGvRDl5dGE89Xx8eu6wLNwxqhZ+vD+d2aMK9n6ziwRlrWZN4lL9f2vUETylV5df4Q7z7605+2pJM/UA/nhrbnWv6tSxzdQEQWT+Au85rx13ntTuxYOGV8PMzjA7fbZxwajk+JbieH92iGtItqoou2x5ihUoxAgMDOXz4MBEREdUTLEX7xtcLPXHVUR4+fmYFkZlsZm5+ASa1fX6mSZxXPL19VQhoAFkpaG4GhzNyCQx0+4MnrjCpOEY8fdL3YPA6IsZg/9NTJlVM8T0/3Nm3pmzb1skkZhAsfwcObjCeXw1jzMTjJDNv4wHumbaKqPAgnrz5enjvRWOEduVA44785aqhRLXczWPfbGDMa7/xwrhe7EvNZsmOFJbuTGHz/rRjyQFe/TGeR0Z1Znz/lub/1aSTSTHS8kTnj7WJR3lu7laW7TxMTv7xzAv+vkLL8GD8fX1YtDWZ/ALTsJ+P0DYylOz8AvakZDGqR3P+fmmXEzypGoXUY+rEATw7dwtvLdrBxqQ03ri+Lw2D/Pl69V6m/LaTrQcyaBwawAMXduD6QTFVssEco9MoWPS02YERal2onCzOsJGj+kRHR5OYmEi184LlZZkMtyGRkLzJ83qFLkhLhv0rzcok46DJI9QgAORQ9foERtilJsP+HALDmxEdHX28bPErxhOt9/XVv86pSPerzK6HG76EIfeWfd6+OLMJV21TlM5jz1KT88sLq5SsPBfLdqawfFcKOfmF+PkIfr6Cn48Pfj5CRq6L//26k24tGvDexAE0CqlnBstVH5pJTs/xAFw3sBVtGody18crGf3abwAE+vvQt1U4D1zYgYGtG9EopB6PfrOeyV+u47s1STw9tocxNHc9noB8z+Esnp27he/WJNEopB7XDoihTWQosRHBxEaE0LxhIH6+ZnKV5ypk56FMNu9PY/P+dLbsTyc9J59/XtGNczuUrh3w8/Vh8sjO9IgK48EZaxj18i8UKqRk5tG5eQOeu7onl/VsXi0j9jGadTcTgYSl5r8c0a7iOmcAVqgUw9/fn9atW1evEVV4Z5gxrt69vPJeU1++alKLXPMhzBwLF/4DutRgupD3HjR2mklumWKP7DJ7dA+5r/Zn6N4ioq3R26+bUbZQyUg2Ke9r00hfRMOWJrZpy0yTgaAG9sjILyhkTcJRfos/zG/xh1idcIT8AsXPRwjw88FVqLgKlYLC48rR8zpG8uqEPoQGOMNFp1GwzPGKc8usMLhtBN/eczYLtxyka4sGdI8KKxGIN+3WQXyyfA9PzdrM8BcX8efhHZl4VmtSs/N55cdtfLRkN74+wj3D2nHHuW3KjbWo5+dDR0f9VXxPjYoY1aM57ZuG8qfP4mjWIIhbzm7NoDaNakbtXUTRHitL3zCOF972njxFsELFG+xZYmIKRj1ftR/SWffB2ukmZiOwYcU2gMrS7kITcJi273jivSVvmFiagXfU7LVONbpfZWItDm8vPdr8VDDSFyFiknBu+Mq8Ly0zcQWk5+Szes9RVu4+wsrdR1i95wiZeQVGG9iiIbec3Yaz2kXQr1Ujguodn52rHhcuJeIwivZYyUmFVifGp7RsFMyNg2PL7I+Pj3DdwFYM69iEv361jn/N3MQXq/aSmJJFZp6Lcf1a8sBFHTwKAKwuHZrW5/t7q5FuyBOOCZUzO4mkO1aoeIMlrxnX357XVq1+065m4I+fbzZWKgp+qynaDzdCJX4+9LnBxMCs+tAMuBXth3G603UszH3UrFbOe6hkeZFQqW0jfREtBzlCRTwWdBuT0pi2bDcrdh1hy4F0VI3TUcdmDRjbJ5ohbSMY3DaCsOB6ZbYhIvj7CsXlCWC8trqPg/1rPXdCKUaLsCCm/KE/38Ql8fy8LQxs04iHRnSifdMzbJXc6iy4+EnzedURrFCpaVJ2wqbv4ez7qxeNPeyvJs9TeckDq0rTrkatsm2uESor3jPOAIPvqflrnWo0jDL2knWfmRVg8UExKc5sNlXVpIY1TYwx7roiOuBXgVoyO6+AF+dv5X+/7iTQz4c+rcIZ0a0ZfVuF06tlWM2m7Rj5TLWbEBGu6B3FFb1Py730PMPHp+bjrk5xrFCpaZa+ZXJQVTcxXlQfuOm7mulTcUSg/YWw4WuTl2zpW9Bm2CmzyY/X6TsRvrwVnmtncmS1H25Snkf1MZ5fp8h+F6rK+/GhXKVBzD7YgsXTV3Pz2a3pEV0yAPbnrcn89et1JKRkM75/SyaP7EzDYC/mfqoj9gFL5bFCpSbZswRWTTUqllNdjdTuIlj1Acz+C2TsNynS6wo9rjZ7l2+bC9vmwc/PwqL/mKwG2SmV34bWC+S5Cvn7N+uZvjyBhLYvEtI4mvlxB/k6Lon+seHcfFZrhndtxpGsPP71/Ua+jkuiTeMQpt8+iEFtqrlnjsVSDWzur2K5v6rM7sXw0VVmT4k/zKz6znMni5w0eKa1cWFu0hXu/O3MiqCvDFkpJtdW/Hyj/rr6fRM/4QVUlYxcV7mqqMMZudz50SqW7UrhnmHt+NNFHfDxEdJz8vl8RSLvLd5JQko20eFBZOS6yMx1ced57bjrvLYljeoWixcoL/eXFSo1IVR2/gLTxpkAxZu+83yzotrm/UtNavkr3oBeEyo+31ItDmfk8shX65iz4QDtmoQyomszLu7a7IS9NDbtS+PWqSs4lJHLM1f1YHSvkvaGgkJl/qYDTF28Cz9fHx4d1fnMM3BbTmlsQklvsuMnmDYewlvBjd9C/aa13SPP6XOjcQaoykZElkoxd8N+Jn+5jvQcF38YEsuW/em8sWg7ry6MJyosiIu6NKVNZAhPz95MaIAfn90xmJ4tS08e6usjXOwIJIvlVMMKleoQvwCmT4BGbYxAqaJ7Za3RY5x51FHyXIVsO5jOhqQ0NuxNZUNSGrtTshjVvTl3ndeWJhXEShzNymP68gSycl0M7RBJr5Zhx6K9i0jLyeeJ7zYyY2UiXZo3YNptvejYzKwqUjLzmL/pAHM37Gfasj3kuQrpGd2Qt2/sd1LiNCwWb2DVX1VVf22bbwRK4w5w4zdmYx7LSUdVeX7uVsKC/bnl7NYeRUT/uu0Qz8zZzOZ96eQVmLxSwfV86dK8ARGh9Zi/6SB+PsINg1ox6by2NC6W/ykhJYt3f93Jp8sTyM4vMDv4KdQP9OOc9maDpaEdItl5KJMHP1/LvtRs7h7WjnvPb1/mVq+ZuS427kuje1RDaxexnPLUmvpLREYALwG+wP9U9eli5eHAFKAtkAPcrKrrnbI/ArcBAryjqi86x58FLgPygO3ARFU9KiKxwCZgi9P8ElX1QpAHxstr+rVmX/Qbv6l4fw6L13hh3lZeXRgPwO7DWTx+eddy069/tyaJP30WR8vwYCaeHUvXFg3p1qIBsREhxzLR7j6cycsL4pny204+XrqHm4bEcvvQNuw9kn1s8yNfH+HynlHcPrQNzRoG8lv8IRZtSWbR1mRmrdt/7HptGofwxZ1D6B1TfobpkAA/+peycZPFcrrhtZWKiPgCW4GLgERgOXCtqm50O+dZIENV/yEinYDXVPUCEekGTAcGYITHD8CdqrpNRIYDP6qqS0T+A6CqDzlC5XtV9TjYosorlbwss7/2sMnVT0dvqTLTl+3h4S/XcU2/loSF+PPWoh2M6tGcF8b1LDUh4Ae/7+KxbzfQP7YR79zYj4ZB5cdxbE/O4KX52/hubRL+vj7kuQqpH+BX7jatqsrWAxn8tOUgrkLl5rNan5D+xGI5E6itlcoAIF5VdzidmA6MBja6ndMFeApAVTeLSKyINAU6Y1YaWU7dRcAY4BlVnetWfwlw8q3M9YLhkupHFFuqzk9bDvLXr9dzbodI/jWmG/6+PkSE1OPJWZtJzcrnzRv6HkuAqKr8d/42Xl6wjYu6NOWVa3t7pGJqGxnKy9f25p7z2zF18S5aRQQzfkBMubvuicixJIcWS13Em2GxUUCC2/tE55g7a4CxACIyAGgFRAPrgaEiEiEiwcAlQGlbtd0MzHZ731pEVovIIhEpNVOciNwuIitEZEW109tbaoX1e1O5++NVdGxan9eu64O/Yxy/fWhbnru6J7/vOMyEd5ZwOCOXgkLl0W/W8/KCbYzrF80b1/WptM2iQ9P6/HtMd24f2rZcgWKxWLy7UilNsV1c1/Y08JKIxAHrgNWAS1U3OaqteUAGRvi4Tmhc5K/OsY+dQ/uAGFU9LCJ9ga9FpKuqpp3QAdW3gbfBqL+qc4MW75Ccnkt4sH8JTyqAvUezufn95TQM8ue9if2Pp2N3uKpvNGFB/tw9bRVXv/k77ZuGMmfDASad25aHRnSs2dTmFoulBN4UKomcuLqIBpLcT3AG/IkAYv7tO50Hqvou8K5T9qTTHs77m4BLgQvUMQqpai6Q67xeKSLbgQ5ADYXMW7xNkSfXqwvjCQ3wo2+rcAa0bsSgNo3oHhVGdn4BE99bRnZeATPuHFKm2+2FXZry0a0Dufn95ew4lMlfL+nMbUPbnOS7sVjqJt4UKsuB9iLSGtgLjAdOCNsWkTAgS1XzgFuBn4tWFiLSRFUPikgMRkU22Dk+AngIOLfI5uIcjwRSVLVARNoA7YEdXrw/Sw1SWKg88f1G3l+8i8t7tqBBkB9Ld6Tw7BzjzBfk70t4sD/JGblMnTigQptF/9hGfHfP2SSlZjOk7cnfgtdiqat4Tag43ln3AHMwLsVTVHWDiExyyt/EGOQ/EJECjAH/FrcmvhCRCCAfuFtVjzjHXwUCgHmOKqPIdXgo8ISIuIACYJKqpnjr/iw1R0Gh8vAXa/l8ZSK3nt2av47qfExNdTgjl2U7zV7nqxOO8tDITgxp55mQiG0cQmzjamw/YLFYKo0NfqyphJKWKpHnKuSBz+KYuXYff7ygPfdf2N7aPSyWUxyb+8tySpKTX8BdH6/ix80HeeSSTtw+tJTtfS0Wy2mFFSoWr7IhKZV1ian4+gj+vj7Os+Dr48N7v+3k9x2H+feYblw3sFVtd9VisdQAVqhYvMKmfWn8d95W5m48UOY5vj7CC+N6MqZ39EnsmcVi8SZWqFg8JiEli/FvL6FZw0DO7RDJuR0i6R7V8FjOLICtB9J5af42Zq7bR/1APx64sANjekchAvkFhRQUKvkFSkGhEh7iT3R4cC3ekcViqWmsULF4hKugkPumryYtO5/G9QP47/ytvDBvK41C6nFO+8ac1bYxv8Yf4ru1SQT7+3Lv+e249ew23t0n3WKxnHJYoWLxiJcXbGP1nqO8cm1vLuvZgsMZufzqZOb9eVsy38QlEeTvyx1D23L70DY0CqlX2122WCy1gBUqlgpZuuMwry6M5+q+0VzWswUAEaEBjO4VxeheURQWKlsPphMZGkBEsb1HLBZL3cIKFUu5pGblc/+ncbSKCOHxy7uWeo6Pj9CpWYOT3DOLxXIqYoWKpUxUlclfreVQRi5f3DmEkAD7c7FYLOXjzdT3ltOcz1YkMGvdfv48vCM9osNquzsWi+U0wAoVS6nEH8zg8W83cla7CG47x2b4tVgsnmH1GZZjFBQq+9Ny2Hskm398t4FAfx9eGNfrhDgUi8ViKQ8rVOowK3cf4ZNle0g8kkXikWz2p+bgKjQJRn0E3r6hX5l7llgsFktpWKFSB1FV3v11J0/N3kz9QD/aRYbSt1U40eFBRIUFEx0eRNsmoUSFBdV2Vy0Wy2mGFSp1jIxcF3+ZsYZZ6/ZzcdemPHt1T7vvusViqTGsUKlDbD2QzqSPVrL7cBaPXNKJ285pY/cusVgsNYoVKnWEb+L28vAX6wgJ8OPjWwcyqE1EbXfJYrGcgVihcoaQ5yrkxflbiT+YYTIBFyqugkJchUpOfgFrE1PpHxvOqxP6WOO7xWLxGl6NUxGRESKyRUTiReThUsrDReQrEVkrIstEpJtb2R9FZL2IbBCR+92ONxKReSKyzXkOdyub7Fxri4hc7M17O5VIzc7npinLeP2n7ew+nMWB9BxSs/PJcxUiQINAf+67oD3TbhtkBYrFYvEqXlupiIgv8BpwEZAILBeRb1V1o9tpjwBxqjpGRDo551/gCJfbgAFAHvCDiMxU1W3Aw8ACVX3aEVQPAw+JSBdgPNAVaAHMF5EOqlrgrXs8Fdh7NJuJ7y1j56FM/nuN3fDKYrHULt5cqQwA4lV1h6rmAdOB0cXO6QIsAFDVzUCsiDQFOgNLVDVLVV3AImCMU2c0MNV5PRW4wu34dFXNVdWdQLzThzOWDUmpjH39N/YdzWHqxAFWoFgsllrHm0IlCkhwe5/oHHNnDTAWQEQGAK2AaGA9MFREIkQkGLgEaOnUaaqq+wCc5yaVuN4Zw89bkxn35u/4iDDjziEMade4trtksVgsXjXUl+arqsXePw28JCJxwDpgNeBS1U0i8h9gHpCBET6uGrgeInI7cDtATExMBU2emny+IoHJX66jXZNQ3p84gGYNrZ3EYrGcGnhzpZLI8dUFmBVIkvsJqpqmqhNVtRdwIxAJ7HTK3lXVPqo6FEgBtjnVDohIcwDn+aCn13PafVtV+6lqv8jIyOreY7XZeiCdBZsOoFpC/pVAVXllwTYenLGWwW0j+HzSYCtQLBbLKYU3hcpyoL2ItBaRehgj+rfuJ4hImFMGcCvws6qmOWVNnOcYjIrsE+e8b4GbnNc3Ad+4HR8vIgEi0hpoDyzzyp3VADn5BTzzw2YueekXbpm6gr/MWEtOftk+BQWFyqPfrOf5eVsZ2zuKd2/qT30bCW+xWE4xvKb+UlWXiNwDzAF8gSmqukFEJjnlb2IM8h+ISAGwEbjFrYkvRCQCyAfuVtUjzvGngc9E5BZgD3C1094GEfnMacfl1DklPb9+iz/EX79ax67DWVzVN5qmDQJ4beF21iel8eb1fWgVEXLC+Tn5Bfxx+mrmbDjApHPb8tCIjjYS3mKxnJKIJ2qXM5V+/frpihUrTtr1jmTm8a+Zm/hiVSKxEcE8Oab7MQP7ws0Huf/TOApVeWFcLy7q0hQw2/ne+sFyVuw+wqOjunDz2a1PWn8tFoulNERkpar2K7XMCpWTI1TmbTzAQ1+sJS07nzvObcO957cn0N/3hHMSUrK46+NVrNubyl3nteXaATHcMnU5uw5l8cI1Pbm0R4uT0leLxWIpDytUyuBkCZWUzDyGPrOQmEbBvHBNTzo1a1DmuTn5Bfzju418smwPfj5CkL8vb93YlyFtrcuwxWI5NShPqNjcXyeBNxdtJzPPxUvje9G+af1yzw309+Wpsd3p2yqc6cv28MTobnRpUbYQslgsllMJj4SKiHwBTAFmq2qhd7t0ZnEgLYepi3cxpldUhQLFnav6RnNVXxshb7FYTi88dSl+A5gAbBORp508XRYPeOXHbRQUKvdf2KG2u2KxWCxexyOhoqrzVfU6oA+wC5gnIotFZKKI2GCJMthzOIvpyxK4pn9LYiKCa7s7FovF4nU8Dn50Ykb+gAlSXA28hBEy87zSszOAFxdsxddHuPf89rXdFYvFYjkpeGpT+RLoBHwIXFaU0BH4VEROXqDHacS2A+l8tXovt57d2qZSsVgsdQZPvb9eVdUfSysoy62srvPCvK0E+/ty53ntarsrFovFctLwVP3VWUTCit44Ozbe5aU+nfasS0xl9vr93HpOGxqF1Ku4gsVisZwheCpUblPVo0VvnDxct3mnS6c/z83dQliwP7eeY1OqWCyWuoWnQsVH3DIYOlsF2yl4KSzdcZhFW5O589y2NouwxWKpc3hqU5mDyQz8Jmbjq0nAD17r1WnM8/O2Elk/gBsHx9Z2VywWi+Wk46lQeQi4A7gTs8PiXOB/3urU6Up+QSHLdqZwz7B2BNXzrbiCxWKxnGF4JFSc1CxvOA9LGWTkmB2PI0KtZtBisdRNPI1TaQ88BXQBjgVdqGobL/XrtCTdESrWlmKxWOoqnhrq38OsUlzAMOADTCCkxY20nHwAQgNs8meLxVI38VSoBKnqAsz+K7tV9XHgfO916/QkI9esVBoEWqFisVjqJp6Ofjki4oPJUnwPsBdo4r1unZ5Y9ZfFYqnreLpSuR8IBu4D+gLXAzdVVElERojIFhGJF5GHSykPF5GvRGStiCwTkW5uZQ+IyAYRWS8in4hIoHP8UxGJcx67RCTOOR4rItluZW96eG81Rkauo/6yKxWLxVJHqXD0cwIdx6nqg0AGMNGThp16rwEXAYnAchH5VlU3up32CBCnqmOcPVpeAy4QkSiMAOuiqtki8hkwHnhfVa9xu8bzQKpbe9tVtZcn/fMGx1cqVqhYLJa6SYUrFVUtAPq6R9R7yAAgXlV3qGoeMB0YXeycLsAC5zqbgVgRaeqU+QFBIuKHWSUluVd0+jMO+KSS/fIaRULFGuotFktdxVP112rgGxG5QUTGFj0qqBMFJLi9T3SOubMGGAsgIgOAVkC0qu4FngP2APuAVFWdW6zuOcABVd3mdqy1iKwWkUUick5pnRKR20VkhYisSE5OruAWKkd6jot6vj4E+tvAR4vFUjfxVKg0Ag5jPL4ucx6XVlCntJWNFnv/NBDu2EXuxQgvl4iEY1Y1rYEWQIiIXF+s7rWcuErZB8Soam/gT8A0EWlQogOqb6tqP1XtFxkZWcEtVI70nHyr+rJYLHUaTyPqPbKjFCMRaOn2PppiKixVTcOx0TjqrJ3O42Jgp6omO2VfAkOAj5z3fpgVTl+3tnKBXOf1ShHZDnQATtomYuk5Lmukt1gsdRpPI+rfo+QqA1W9uZxqy4H2ItIa44I8HphQrN0wIMuxudwK/KyqaSKyBxgkIsFANnABJwqHC4HNqpro1lYkkKKqBSLSBmgP7PDk/mqKjFyXXalYLJY6jacj4PdurwOBMRRbdRRHVV1OTMscwBeYoqobRGSSU/4m0Bn4QEQKgI3ALU7ZUhGZAazCRPGvBt52a348JQ30Q4EnRMQFFACTVDXFw/urEdJz8q2R3mKx1GlEtcQCpOJKJhByvqqe1lH1/fr10xUrak47NuLFn2nZKJh3brQ7LFssljMXEVlZ1lbynhrqi9MeiKl6l85M0nOs+stisdRtPLWppHOiTWU/Zo8VixvpOfnUt+ovi8VSh/HU+6u+tztyuqOqjqHe5v2yWCx1F4/UXyIyRkQaur0PE5ErvNet04+svAIK1aZosVgsdRtPbSqPqeqxHFuqehR4zDtdOj05lqLFChWLxVKH8VSolHaeHT3dKMpQbNVfFoulLuOpUFkhIi+ISFsRaSMi/wVWerNjpxtpRRmKraHeYrHUYTwVKvcCecCnwGeYKPe7vdWp05EMm/beYrFYPPb+ygRKbLJlOY7d9dFisVg89/6a5+TpKnofLiJzvNet04/0HLvro8VisXiq/mrseHwBoKpHsHvUn0BGrlV/WSwWi6dCpVBEjqVlEZFYSslaXJcpMtSH1rNCxWKx1F08HQH/CvwqIouc90OB273TpdOTogzFPj6V3XXZYrFYzhw8NdT/ICL9MIIkDvgG4wFmcciwySQtFovF44SStwJ/xOzeGAcMAn7HbC9swdn10caoWCyWOo6nNpU/Av2B3ao6DOgNJHutV6ch6bl2f3qLxWLxVKjkqGoOgIgEqOpmoKP3unX6YdRfNkbFYrHUbTydWic6cSpfA/NE5AgVbCdc10jPcRHdKLi2u2GxWCy1ikcrFVUdo6pHVfVx4FHgXaDC1PciMkJEtohIvIiUiMh3gii/EpG1IrJMRLq5lT0gIhtEZL2IfCIigc7xx0Vkr4jEOY9L3OpMdq61RUQu9uTeaor0XBcNrPrLYrHUcSq9nbCqLlLVb1U1r7zzRMQXeA0YCXQBrhWRLsVOewSIU9UewI3AS07dKOA+oJ+qdgN8gfFu9f6rqr2cxyynThfnnK7ACOB1pw8nhfScfKv+slgsdZ6q7lHvCQOAeFXd4Qig6cDoYud0ARYAOHaaWBFp6pT5AUEi4gcEU7G6bTQwXVVzVXUnEO/0wevkFxSSk19ovb8sFkudx5tCJQpIcHuf6BxzZw0wFkBEBgCtgGhV3Qs8B+wB9gGpqjrXrd49jspsioiEV+J6XsFmKLZYLBaDN4VKaaHlxVO7PA2Ei0gcJr3+asDlCIrRQGugBRAiItc7dd4A2gK9MALn+UpcDxG5XURWiMiK5OSa8Yo+tuujXalYLJY6jjeFSiLQ0u19NMVUWKqapqoTVbUXxqYSCewELgR2qmqyquYDXwJDnDoHv2TtTQAADc1JREFUVLVAVQuBdziu4qrwek79t1W1n6r2i4yMrIn7JC3H7vposVgs4F2hshxoLyKtRaQexoj+rfsJIhLmlAHcCvysqmkYtdcgEQkWEQEuADY5dZq7NTEGWO+8/hYYLyIBItIaaA8s89K9nUBRhmLr/WWxWOo6XhsFVdUlIvcAczDeW1NUdYOITHLK3wQ6Ax+ISAGwEbjFKVsqIjOAVYALoxZ722n6GRHphVFt7QLucOpsEJHPnHZcwN2qWuCt+3PnmPrLChWLxVLH8eoo6Lj7zip27E23179jVhSl1X0MeKyU4zeUc71/A/+uan+rSkauVX9ZLBYLeFf9VWdIt95fFovFAlihUiNY7y+LxWIxWKFSA6TnuKjn60Og/0kL4LdYLJZTEitUaoD0nHxrpLdYLBasUKkR0u2ujxaLxQJYoVIjZORaoWKxWCxghUqNkJ6Tb430FovFghUqNUK63fXRYrFYACtUaoT0HBf17UrFYrFYrFCpCcwGXVaoWCwWixUq1URVHUO9VX9ZLBaLFSrVJCuvgEK1ySQtFosFrFCpNjbvl8VisRzHCpVqYjMUWywWy3GsUKkmaUUrFev9ZbFYLFaoVJcMq/6yWCyWY1ihUk3sro8Wi8VyHCtUqkl6jrWpWCwWSxFWqFSTjFyr/rJYLJYivCpURGSEiGwRkXgRebiU8nAR+UpE1orIMhHp5lb2gIhsEJH1IvKJiAQ6x58Vkc1Ona9EJMw5Hisi2SIS5zze9Oa9FVFkqA+pZ4WKxWKxeE2oiIgv8BowEugCXCsiXYqd9ggQp6o9gBuBl5y6UcB9QD9V7Qb4AuOdOvOAbk6drcBkt/a2q2ov5zHJS7d2AkUZin195GRczmKxWE5pvLlSGQDEq+oOVc0DpgOji53TBVgAoKqbgVgRaeqU+QFBIuIHBANJznlzVdXlnLMEiPbiPVRIht2gy2KxWI7hTaESBSS4vU90jrmzBhgLICIDgFb/397dx0hV3WEc/z4uL/Kigu1qkEWBShPQWrTEEK2NlaZgNWIaTbFiidUYE7Xal1S0bUhNSPzDNm1SGiQtKQbUUoVKGhqltMWaqLz7gmCkYBHZyLa2sFuz6+7y6x/3LMzujhZm5jIw83ySzcw9d+bO+WWz8+w9d+YcoCki3gUeAfYAzcCBiHiuyGt8E/hjwfY4SVskrZN0RbFOSbpD0kZJG1taWkqpq5fW9i6vpWJmluQZKsXGg6LP9sPASElbgXuALUCXpJFkZzXjgHOAYZJm9zq49AOgC1iWmpqBcyPiYuA7wOOSTu/XgYhFETElIqY0NjaWXl3iVR/NzI7I891wLzCmYLuJNITVIyIOArcCSBKwO/1MB3ZHREvatwK4DFiatucA1wLTIiLSsTqAjnR/k6S/A58GNuZUH5BdUzlj6KA8X8LM7KSR55nKBmCCpHGSBpFdaF9V+ABJI9I+gNuB51PQ7AGmShqawmYasD09ZwZwP3BdRHxQcKzG9OEAJI0HJgC7cqwP6Fn10WcqZmaQ45lKRHRJuht4luzTW4sjYpukO9P+hcBE4DFJ3cAbwG1p38uSngI2kw1xbQEWpUP/AhgMrMnyhpfSJ72+ADwkqQvoBu6MiPfzqq9Ha0cXpztUzMyAfIe/iIjVwOo+bQsL7r9IdkZR7LnzgHlF2s//iMc/DTxdTn9L0fORYjMz8zfqy9LZfYj2zkOeosXMLHGolMEzFJuZ9eZQKcPhGYo9/GVmBjhUytLqVR/NzHpxqJTB69ObmfXmUCmDQ8XMrDeHShnaPPxlZtaLQ6UMvlBvZtabQ6UMHv4yM+vNoVKG1vYuBjWcwqkDG6rdFTOzE4JDpQyt7Z0M91mKmdlhDpUyeC0VM7PeHCpl8KqPZma9OVTK0Nre6TMVM7MCDpUyZAt0+TsqZmY9HCplaG3v4jQPf5mZHeZQKYOHv8zMenOolCgiaOvo8keKzcwKOFRK9MGH3RwKz/tlZlYo11CRNEPSm5J2SppbZP9ISSslvSppvaQLC/Z9W9I2Sa9LekLSqan9TElrJL2VbkcWPOeB9FpvSpqeZ22eosXMrL/cQkVSA7AAuBqYBNwkaVKfhz0IbI2Ii4BvAD9Pzx0NfAuYEhEXAg3ArPScucDaiJgArE3bpGPPAi4AZgC/TH3IRc8Mxf6eipnZEXmeqVwK7IyIXRHxIfAkMLPPYyaRBQMRsQMYK+nstG8AMETSAGAosC+1zwSWpPtLgOsL2p+MiI6I2A3sTH3IxcF0pnK6h7/MzA7LM1RGA+8UbO9NbYVeAb4KIOlS4DygKSLeBR4B9gDNwIGIeC495+yIaAZIt2cdw+sh6Q5JGyVtbGlpKbm4Ng9/mZn1k2eoqEhb9Nl+GBgpaStwD7AF6ErXSWYC44BzgGGSZlfg9YiIRRExJSKmNDY2/r8aPtLhtVQcKmZmh+X5jrgXGFOw3cSRISwAIuIgcCuAJAG70890YHdEtKR9K4DLgKXAe5JGRUSzpFHA/qN9vUpqbfeqj2ZmfeV5prIBmCBpnKRBZBfRVxU+QNKItA/gduD5FDR7gKmShqawmQZsT49bBcxJ9+cAzxS0z5I0WNI4YAKwPqfaaOvwqo9mZn3l9o4YEV2S7gaeJfv01uKI2CbpzrR/ITAReExSN/AGcFva97Kkp4DNQBfZsNiidOiHgeWSbiMLnxvTc7ZJWp6O0wXcFRHdedV30EsJm5n1k+s7YkSsBlb3aVtYcP9FsjOKYs+dB8wr0v4vsjOXYs+ZD8wvo8tHrbW9k+GDB9BwSrFLOWZm9cnfqC9Rm9dSMTPrx6FSomzae4eKmVkhh0qJvJSwmVl/DpUStbZ3MtwfJzYz68WhUiIPf5mZ9edQKVFrh1d9NDPry6FSIq/6aGbWn0OlBJ3dh2jvPOQpWszM+nColKDN36Y3MyvKoVICr/poZlacQ6UErR2eodjMrBiHSgmGDGzgms+MomnkkGp3xczshOLxmxKMbxzOgpsvqXY3zMxOOD5TMTOzinGomJlZxThUzMysYhwqZmZWMQ4VMzOrGIeKmZlVjEPFzMwqxqFiZmYVo4iodh+qRlIL8I8yDvFJ4J8V6s7JxHXXF9ddX46m7vMiorHYjroOlXJJ2hgRU6rdj+PNddcX111fyq3bw19mZlYxDhUzM6sYh0p5FlW7A1XiuuuL664vZdXtaypmZlYxPlMxM7OKcaiYmVnFOFRKIGmGpDcl7ZQ0t9r9yYukxZL2S3q9oO1MSWskvZVuR1azj3mQNEbSXyRtl7RN0r2pvaZrl3SqpPWSXkl1/zi113TdPSQ1SNoi6Q9pu17qflvSa5K2StqY2kqu3aFyjCQ1AAuAq4FJwE2SJlW3V7n5DTCjT9tcYG1ETADWpu1a0wV8NyImAlOBu9LvuNZr7wCuiojPApOBGZKmUvt197gX2F6wXS91A3wxIiYXfD+l5NodKsfuUmBnROyKiA+BJ4GZVe5TLiLieeD9Ps0zgSXp/hLg+uPaqeMgIpojYnO630r2RjOaGq89Mm1pc2D6CWq8bgBJTcA1wK8Kmmu+7o9Rcu0OlWM3GninYHtvaqsXZ0dEM2RvvsBZVe5PriSNBS4GXqYOak9DQFuB/cCaiKiLuoGfAd8HDhW01UPdkP3j8JykTZLuSG0l1z4ghw7WOhVp8+eya5Ck4cDTwH0RcVAq9quvLRHRDUyWNAJYKenCavcpb5KuBfZHxCZJV1a7P1VweUTsk3QWsEbSjnIO5jOVY7cXGFOw3QTsq1JfquE9SaMA0u3+KvcnF5IGkgXKsohYkZrronaAiPgP8Feya2q1XvflwHWS3iYbzr5K0lJqv24AImJfut0PrCQb4i+5dofKsdsATJA0TtIgYBawqsp9Op5WAXPS/TnAM1XsSy6UnZL8GtgeET8t2FXTtUtqTGcoSBoCfAnYQY3XHREPRERTRIwl+3v+c0TMpsbrBpA0TNJpPfeBLwOvU0bt/kZ9CSR9hWwMtgFYHBHzq9ylXEh6AriSbCrs94B5wO+B5cC5wB7gxojoezH/pCbp88DfgNc4Msb+INl1lZqtXdJFZBdlG8j+4VweEQ9J+gQ1XHehNPz1vYi4th7qljSe7OwEssshj0fE/HJqd6iYmVnFePjLzMwqxqFiZmYV41AxM7OKcaiYmVnFOFTMzKxiHCpmJylJV/bMqGt2onComJlZxThUzHImaXZap2SrpEfTpI1tkn4iabOktZIa02MnS3pJ0quSVvasYyHpfEl/SmudbJb0qXT44ZKekrRD0jLVwwRldkJzqJjlSNJE4Gtkk/ZNBrqBm4FhwOaIuARYRzZbAcBjwP0RcRHZN/p72pcBC9JaJ5cBzan9YuA+srV9xpPNY2VWNZ6l2Cxf04DPARvSScQQssn5DgG/TY9ZCqyQdAYwIiLWpfYlwO/S3EyjI2IlQES0A6TjrY+IvWl7KzAWeCH/ssyKc6iY5UvAkoh4oFej9KM+j/u4+ZI+bkiro+B+N/6btirz8JdZvtYCN6S1KnrW/j6P7G/vhvSYrwMvRMQB4N+SrkjttwDrIuIgsFfS9ekYgyUNPa5VmB0l/1djlqOIeEPSD8lW1jsF6ATuAv4LXCBpE3CA7LoLZNOML0yhsQu4NbXfAjwq6aF0jBuPYxlmR82zFJtVgaS2iBhe7X6YVZqHv8zMrGJ8pmJmZhXjMxUzM6sYh4qZmVWMQ8XMzCrGoWJmZhXjUDEzs4r5H4vVzQuCn4C9AAAAAElFTkSuQmCC\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Output] Metrics saved at %s results/MEnGHa5DCmJGE9C9BpAg4i/evaluation-loss_lstm-parallel_cylin.png\n", - "Final cost: 0.0001\n" + "Final cost: -9.1116\n" ] } ], "source": [ - "#history.history\n", - "report = evaluate_training(history, output_encry, ident_name)\n", + "history.history\n", + "#report = evaluate_training(history, output_encry, ident_name)\n", "print('Final cost: {0:.4f}'.format(history.history['loss'][-1]))\n", "# 0.002, 0.0011\n", "# gaussian 2.2359\n", @@ -540,7 +545,16 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "#model.save_model(model.save_fnameh5) " + ] + }, + { + "cell_type": "code", + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -565,16 +579,18 @@ "print(\"\\t Dataset : \", model.orig_ds_name)\n", "print(\"\\t Total tracks : \", len(X_train))\n", "print(\"\\t Path saved : \", model.save_fnameh5) \n", - "print(\"\\t Coordenate type : \", coord) \n", + "print(\"\\t Coordenate : \", coord)\n", + "print(\"\\t Coordenate 3D : \", points_3d) \n", "print(\"\\t Compiled date : %s taken %s\" % (timer.start_dt.strftime(\"%d/%m/%Y %H:%M:%S\"), timer.taken())) \n", "print(\"\\t Model scaled : \", model.normalise)\n", "print(\"\\t Model scaled : \", type_norm)\n", "print(\"\\t Model Optimizer : \", optim)\n", "print(\"\\t Model batch_size : \", batch)\n", + "print(\"\\t Model learn rate : \", lr)\n", "print(\"\\t Model epochs : %s stopped %s \" % (epochs, model.stopped_epoch))\n", "print(\"\\t Accuracy : \", report)\n", "print(\"\\t Architecture : \", arch)\n", - "\n", + " \n", "sys.stdout = orig_stdout\n", "f.close() \n", "\n", diff --git a/main_train.py b/main_train.py index 588d841..0f1a927 100644 --- a/main_train.py +++ b/main_train.py @@ -31,7 +31,7 @@ def parse_args(): parser.add_argument('--dataset', type=str, help='Path to dataset') parser.add_argument('--cylindrical', type=str, help='Type of Coordenates system') parser.add_argument('--load', type=str, help='this param load model') - + parser.add_argument('--samples', type=int, help='select a short dataset of samples used for testing quickly') # parse the arguments args = parser.parse_args() @@ -88,13 +88,15 @@ def main(): arch = configs['model']['layers'] is_parallel = configs['model']['isparallel'] over_write = configs['model']['overwrite'] - + lr = configs['model']['learningrate'] + loadModel = configs['training']['load_model'] validation_split = configs['training']['validation'] epochs = configs['training']['epochs'] batch = configs['training']['batch_size'] shuffle_train = configs['training']['shuffle'] + samples = None if args.dataset is not None: data_file = args.dataset configs['data']['filename'] = data_file @@ -104,6 +106,8 @@ def main(): if args.load is not None: loadModel = True if args.load == "True" else False configs['training']['load_model'] = loadModel + if args.samples is not None: + samples = args.samples #create a encryp name for dataset path_to, filename = os.path.split(data_file) @@ -131,7 +135,7 @@ def main(): elif type_norm == "maxmin": kind_norm = KindNormalization.Scaling # prepare data set - data = Dataset(data_file, split, cylindrical, num_hits, kind_norm, points_3d=points_3d) + data = Dataset(data_file, split, cylindrical, num_hits, kind_norm, points_3d=points_3d, samples=samples) X_train, y_train = data.get_training_data(n_hit_in=time_steps, n_hit_out=1, n_features=n_features, normalise=normalise) @@ -211,7 +215,7 @@ def main(): shuffle=shuffle_train ) #if show_metrics: - #report = evaluate_training(history, output_encry, ident_name) + report = evaluate_training(history, output_encry, ident_name) timer.stop() elif loadModel: @@ -231,11 +235,14 @@ def main(): print("\t Dataset : ", model.orig_ds_name) print("\t Total tracks : ", len(X_train)) print("\t Path saved : ", model.save_fnameh5) - print("\t Coordenate type : ", coord) - #print("\t Compiled date : %s taken %s" % (timer.start_dt.strftime("%d/%m/%Y %H:%M:%S"), timer.taken())) + print("\t Coordenates : ", coord) + print("\t Coordenate 3D : ", points_3d) + print("\t Compiled date : %s taken %s" % (timer.start_dt.strftime("%d/%m/%Y %H:%M:%S"), timer.taken())) print("\t Model scaled : ", model.normalise) + print("\t Model type scaled : ", kind_norm) print("\t Model Optimizer : ", optim) print("\t Model batch_size : ", batch) + print("\t Model learn rate : ", lr) print("\t Model epochs : %s stopped %s " % (epochs, model.stopped_epoch)) print("\t Accuracy : ", report) print("\t Architecture : ", arch) diff --git a/notebooks/main_test-cylind.ipynb b/notebooks/main_test-cylind.ipynb deleted file mode 100644 index 238a87d..0000000 --- a/notebooks/main_test-cylind.ipynb +++ /dev/null @@ -1,624 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import sys\n", - "import os\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# include path to our library\n", - "cwd = os.getcwd()\n", - "dir_path = os.path.dirname(os.path.realpath(cwd))\n", - "sys.path.append(dir_path)\n", - "time.sleep(3)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dir_path\n", - "%cd $dir_path\n", - "!ls" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import argparse\n", - "import json\n", - "\n", - "from sklearn.model_selection import train_test_split\n", - "import tensorflow as tf\n", - "from tensorflow import set_random_seed\n", - "\n", - "import keras.backend as K\n", - "from keras.backend.tensorflow_backend import set_session\n", - "\n", - "from core.data.data_loader import *\n", - "from core.models.lstm import ModelLSTM, ModelLSTMParalel, ModelLSTMCuDnnParalel\n", - "from core.models.cnn import ModelCNN\n", - "from core.models.mlp import ModelMLP\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## loading Configurartion ##\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# load some configurations configurations of model and others\n", - "\n", - "configs = json.load(open('config_test.json', 'r'))\n", - "output_path = configs['paths']['save_dir']\n", - "output_logs = configs['paths']['log_dir']\n", - "\n", - "if os.path.isdir(output_path) == False:\n", - " os.mkdir(output_path)\n", - "\n", - "if os.path.isdir(output_logs) == False:\n", - " os.mkdir(output_logs) \n", - "\n", - "save_fname = os.path.join(output_path, 'architecture-%s.png' % configs['model']['name'])\n", - "save_fnameh5 = os.path.join(output_path, 'model-%s.h5' % configs['model']['name'])\n", - "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", - "num_features = configs['model']['layers'][0]['input_features'] # the number of features of each hits\n", - "\n", - "split = configs['data']['train_split'] # the number of features of each hits\n", - "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", - "normalise = configs['data']['normalise'] \n", - "num_hits = configs['data']['num_hits']\n", - "print(save_fname) \n", - "print(save_fnameh5)\n", - "print('OK reading of json file')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Setup Data ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# reading path of data\n", - "#path = './dataset/2020_100_sorted.csv'\n", - "#path = './dataset/event_2000_2020_train.csv'\n", - "#path = './dataset/events.csv'\n", - "#path = './dataset/phi025-025_eta025-025/phi025-025_eta025-025_filtered.csv'\n", - "#path = './dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv'\n", - "\n", - "path = configs['data']['filename']\n", - "path" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "data = Dataset(path, KindNormalization.Zscore)\n", - "\n", - "dataset = data.get_training_data(cylindrical=cylindrical, hits=num_hits)\n", - "dataset = dataset.iloc[0:2640,0:]\n", - "print(dataset.shape)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dataset.head(6)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# reshape data \n", - "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", - "num_features = configs['model']['layers'][0]['input_features'] # the number of features of each hits\n", - "split = configs['data']['train_split'] # the number of features of each hits\n", - "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", - "normalise = configs['data']['normalise'] \n", - "\n", - "print(\"[Data] Converting to supervised ...\")\n", - "\n", - "X, y = data.convert_to_supervised(dataset.values, n_hit_in=time_steps,\n", - " n_hit_out=1, n_features=num_features, normalise=normalise)\n", - "print('[Data] New Shape: X%s y%s :' % (X.shape, y.shape))\n", - " \n", - "X.head(12)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# there is empty data?\n", - "print(X.isnull().values.any())\n", - "print(y.isnull().values.any())\n", - "\n", - "#X.isnull().sum()\n", - "#X.isna().sum()\n", - "#y.isnull().sum()\n", - "#X = X.dropna()\n", - "#print('[Data] New Shape: X%s y%s :' % (X.shape, y.shape))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "X = data.reshape3d(X, time_steps, num_features)\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=1-split, shuffle=False)\n", - "\n", - "print('[Data] shape X_train ', X_train.shape)\n", - "print('[Data] shape y_train ', y_train.shape)\n", - "print('[Data] shape X_test ', X_test.shape)\n", - "print('[Data] shape y_test ', y_test.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - " \n", - "def no_gpu():\n", - " import os\n", - " os.environ[\"CUDA_VISIBLE_DEVICES\"]=\"-1\"\n", - " import tensorflow as tf\n", - "\n", - " config=tf.ConfigProto(log_device_placement=True)\n", - " sess = tf.Session(config=config)\n", - " set_session(sess)\n", - " \n", - "\n", - "def gpu():\n", - " import tensorflow as tf\n", - " from tensorflow import set_random_seed\n", - "\n", - " import keras.backend as K\n", - " from keras.backend.tensorflow_backend import set_session\n", - " \n", - " #configure gpu_options.allow_growth = True in order to CuDNNLSTM layer work on RTX\n", - " config = tf.ConfigProto(device_count = {'GPU': 0})\n", - " config.gpu_options.allow_growth = True\n", - " sess = tf.Session(config=config)\n", - " set_session(sess)\n", - "\n", - " set_random_seed(1)\n", - "\n", - "def manage_models(config):\n", - " \n", - " type_model = config['model']['name']\n", - " model = None\n", - "\n", - " if type_model == 'lstm': #simple LSTM\n", - " model = ModelLSTM(config)\n", - " elif type_model == 'lstm-paralel':\n", - " model = ModelLSTMParalel(config)\n", - " elif type_model == 'cnn':\n", - " model = ModelCNN(config)\n", - " elif type_model == 'mlp':\n", - " model = ModelMLP(config) \n", - "\n", - " return model\n", - "\n", - "gpu()\n", - "#no_gpu()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create Model ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "# geramos o modelo\n", - "#configs = json.load(open('config_test.json', 'r'))\n", - "model = manage_models(configs)\n", - "\n", - "if model is None:\n", - " print('Please instance model')\n", - "\n", - "loadModel = configs['training']['load_model']\n", - "#loadModel = False" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Training Model ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "from core.utils.metrics import *\n", - "# in-memory training\n", - "if loadModel == False:\n", - "\n", - " model.build_model()\n", - "\n", - " # in-memory training\n", - " history = model.train(\n", - " x=X_train,\n", - " y=y_train,\n", - " epochs = configs['training']['epochs'],\n", - " batch_size = configs['training']['batch_size']\n", - " )\n", - "\n", - " evaluate_training(history, output_path)\n", - "\n", - "elif loadModel == True: \n", - " if not model.load_model():\n", - " print ('[Error] please change the config file : load_model')\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from core.utils.metrics import *\n", - "evaluate_training(history, output_path)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Evaluate The model ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#evaluate the model\n", - "from core.utils.metrics import *\n", - "evaluate_training(history,output_path)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Prediction ##\n", - "We concatenate features to predict one hit." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Prediction\n", - "import numpy as np\n", - "from core.utils.metrics import *\n", - "from core.utils.utils import *\n", - "\n", - "predicted = model.predict_one_hit(X_test)\n", - "print('[Data] shape predicted output ', predicted.shape)\n", - "print('[Data] shape y_test ', y_test.shape)\n", - " \n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Convert to original data\n", - "#y_predicted = data.reshape2d(predicted, 1)\n", - " \n", - "y_predicted = np.reshape(predicted, (predicted.shape[0]*predicted.shape[1], 1))\n", - "y_true_ = data.reshape2d(y_test, 1)\n", - "\n", - "result = calc_score(y_true_, y_predicted, report=True)\n", - "r2, rmse, rmses = evaluate_forecast(y_test.values, predicted)\n", - "summarize_scores(r2, rmse,rmses)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "if normalise:\n", - " print('[Data] Inverse Transforming ...')\n", - " y_test_orig = data.inverse_transform_y(y_test)\n", - " y_predicted_orig = data.inverse_transform_y(predicted)\n", - "else:\n", - " y_test_orig = y_test\n", - " y_predicted_orig = predicted\n", - "\n", - "print('[Data] shape y_test_orig ', y_test_orig.shape)\n", - "print('[Data] shape y_predicted_orig ', y_predicted_orig.shape)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## convert values ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "X_train, X_test_new = train_test_split(dataset, test_size=1-0.8, shuffle=False)\n", - "\n", - "print('[Data] shape X_train ', X_train.shape)\n", - "print('[Data] shape X_test_new ', X_test_new.shape)\n", - "\n", - "y_predicted_orig = pd.DataFrame(y_predicted_orig)\n", - "y_predicted_orig = data.convert_supervised_to_normal(y_predicted_orig.values, n_hit_in=4, n_hit_out=1, hits=10)\n", - "y_predicted_orig = pd.DataFrame(y_predicted_orig)\n", - "print('y_predicted_orig shape ', y_predicted_orig.shape)\n", - "\n", - "y_true_orig = pd.DataFrame(y_test_orig)\n", - "y_true_orig = data.convert_supervised_to_normal(y_true_orig.values, n_hit_in=4, n_hit_out=1, hits=10)\n", - "y_true_orig = pd.DataFrame(y_true_orig)\n", - "print('y_true_orig shape ', y_true_orig.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "X_test_new.head(12)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x_true = X_test_new.iloc[:,0:time_steps*num_features]\n", - "y_true = X_test_new.iloc[:,time_steps*num_features:]\n", - "print('shape x_true ', x_true.shape)\n", - "print('shape y_true ', y_true.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# join both dataset must be equal to X_test\n", - "data_test = np.concatenate([x_true , y_true_orig], axis = 1 )\n", - "data_test = pd.DataFrame(data_test)\n", - "print('Shape ', data_test.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# must be equal\n", - "data_test.values == X_test_new.values\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# join both dataset should be equal to X_test but not equal\n", - "data_pred = np.concatenate([x_true , y_predicted_orig], axis = 1 )\n", - "data_pred = pd.DataFrame(data_pred)\n", - "print('Shape ', data_pred.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# should not be equal\n", - "data_pred.values == X_test_new.values" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "if cylindrical:\n", - "\n", - " y_true_orig.to_csv(os.path.join(output_path, 'y_true_%s_cylin.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " y_predicted_orig.to_csv(os.path.join(output_path, 'y_pred_%s_cylin.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " x_true.to_csv(os.path.join(output_path, 'x_true_%s_cylin.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "else:\n", - " \n", - " y_true_orig.to_csv(os.path.join(output_path, 'y_true_%s_xyz.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - " y_predicted_orig.to_csv(os.path.join(output_path, 'y_pred_%s_xyz.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " x_true.to_csv(os.path.join(output_path, 'x_true_%s_xyz.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - "print('[Output] Results saved at %', output_path)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Visualization ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from core.utils.utils import *\n", - "# Dados originais\n", - "path_html = ''\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-originial-%s_cylin.html' % configs['model']['name'])\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-originial-%s_xyz.html' % configs['model']['name'])\n", - " \n", - "N_tracks = 10\n", - "fig = track_plot_xyz([dataset], n_hits = 10, cylindrical = True, n_tracks = 50, \n", - " path=path_html, title='Track Prediction #10 Hit')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Dados test\n", - "\n", - "fig = track_plot_xyz([data_test], n_hits = 10, cylindrical = cylindrical, n_tracks = N_tracks, \n", - " title='Track Prediction #10 Hit')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# predicted data\n", - "path_html = ''\n", - "N_tracks = 30\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_cylin.html' % configs['model']['name'])\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_xyz.html' % configs['model']['name'])\n", - " \n", - "fig = track_plot_xyz([data_test, data_pred], n_hits = 10, cylindrical = cylindrical, n_tracks = N_tracks, \n", - " path=path_html, title='Track Prediction #10 Hit')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/plot_distributions.ipynb b/notebooks/plot_distributions.ipynb new file mode 100644 index 0000000..ba6c26a --- /dev/null +++ b/notebooks/plot_distributions.ipynb @@ -0,0 +1,1681 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import os\n", + "import json\n", + "import time" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# include path to our library\n", + "cwd = os.getcwd()\n", + "dir_path = os.path.dirname(os.path.realpath(cwd))\n", + "sys.path.append(dir_path)\n", + "time.sleep(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "/home/sataucuri/merged_git/track-ml\n", + "/home/sataucuri/merged_git/track-ml\r\n" + ] + } + ], + "source": [ + "dir_path\n", + "%cd $dir_path\n", + "!pwd" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "from core.utils.utils import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reading the data ##" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'/data/track-ml/bracis/datasets/eta_n0.5-0.5_phi_n0.5-0.5/eta_n0.5-0.5_phi_n0.5-0.5_20200518171238_tracks.csv'" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "configs = json.load(open('configs/config_lstm_gaussian.json', 'r'))\n", + "data_file = configs['data']['filename']\n", + "data_file" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_file = configs['data']['filename']\n", + "split_data = configs['data']['train_split'] # the number of features of each hits\n", + "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", + "normalise = configs['data']['normalise'] \n", + "num_hits = configs['data']['num_hits']\n", + "type_norm = configs['data']['type_norm']\n", + "points_3d = configs['data']['points_3d'] # what kind of points: (rho, eta, phi) or (eta, phi) \n", + "\n", + "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", + "t_features = configs['model']['layers'][0]['input_features'] # the number of features of a tensor\n", + "n_features = configs['data']['features'] # the number of features of data input\n", + "\n", + "type_model = configs['model']['name']\n", + "optim = configs['model']['optimizer']\n", + "arch = configs['model']['layers']\n", + "is_parallel = configs['model']['isparallel']\n", + "over_write = configs['model']['overwrite']\n", + "\n", + "loadModel = configs['training']['load_model']\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "type of system: cylin\n", + "source file for testing:\n", + "\t /data/track-ml/bracis/datasets/eta_n0.5-0.5_phi_n0.5-0.5/eta_n0.5-0.5_phi_n0.5-0.5_20200518171238_tracks.csv\n", + "predicted points: \n", + "\tloading from .. results/MEnGHa5DCmJGE9C9BpAg4i/x_true_gaussian-lstm_cylin_gaussian.csv\n", + "\tloading from .. results/MEnGHa5DCmJGE9C9BpAg4i/y_true_gaussian-lstm_cylin_gaussian.csv\n", + "\tloading from .. results/MEnGHa5DCmJGE9C9BpAg4i/y_pred_gaussian-lstm_cylin_gaussian.csv\n", + "shape df_test (2000, 8)\n", + "shape df_true (2000, 12)\n", + "shape df_pred (2000, 12)\n", + "size y_true (2000, 20)\n", + "size y_pred (2000, 20)\n" + ] + } + ], + "source": [ + "\n", + "output_path = configs['paths']['save_dir']\n", + "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", + "normalise = configs['data']['normalise'] \n", + "name = configs['model']['name']\n", + "type_pred = configs['testing']['type_optimization']\n", + "n_features = configs['data']['features'] # the number of features of data input\n", + "#data_file = configs['data']['filename']\n", + "\n", + "#create a encryp name for dataset\n", + "path_to, filename = os.path.split(data_file)\n", + "\n", + "orig_ds_name = filename\n", + "\n", + "encryp_ds_name = get_unique_name(orig_ds_name)\n", + "decryp_ds_name = get_decryp_name(encryp_ds_name)\n", + "\n", + "output_encry = os.path.join(output_path, encryp_ds_name) \n", + "#cylindrical = True\n", + "if cylindrical:\n", + " coord = 'cylin'\n", + "else:\n", + " coord = 'xyz'\n", + "\n", + "print('type of system:', coord)\n", + "print('source file for testing:\\n\\t ', data_file)\n", + "print('predicted points: ')\n", + "path1 = os.path.join(output_encry, 'x_true_%s_%s_%s.csv' % (name, coord, type_pred))\n", + "path2 = os.path.join(output_encry, 'y_true_%s_%s_%s.csv' % (name, coord, type_pred))\n", + "path3 = os.path.join(output_encry, 'y_pred_%s_%s_%s.csv' % (name, coord, type_pred))\n", + "\n", + "print('\\tloading from .. %s' % path1)\n", + "print('\\tloading from .. %s' % path2)\n", + "print('\\tloading from .. %s' % path3)\n", + "\n", + "df_test = pd.read_csv(path1, header=None)\n", + "df_true = pd.read_csv(path2, header=None)\n", + "df_pred = pd.read_csv(path3, header=None)\n", + "\n", + "print('shape df_test ', df_test.shape)\n", + "print('shape df_true ', df_true.shape)\n", + "print('shape df_pred ', df_pred.shape)\n", + "# concat\n", + "#y_true = pd.concat([df_test, df_true], axis = 1, ignore_index = True)\n", + "#y_pred = pd.concat([df_test, df_pred], axis = 1, ignore_index = True)\n", + "\n", + "true_tracks = np.concatenate([df_test, df_true], axis = 1)\n", + "pred_tracks = np.concatenate([df_test, df_pred], axis = 1)\n", + "true_tracks = pd.DataFrame(true_tracks)\n", + "pred_tracks = pd.DataFrame(pred_tracks)\n", + "true_tracks.columns.name = 'truth'\n", + "pred_tracks.columns.name = 'predicted'\n", + "\n", + "print('size y_true ', true_tracks.shape)\n", + "print('size y_pred ', pred_tracks.shape)\n", + "\n", + "samples = pred_tracks.shape[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Scoring of Hits by Layer ##" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loading file results/MEnGHa5DCmJGE9C9BpAg4i/correct_gaussian-lstm_cylin.npy\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "if cylindrical:\n", + " coord = 'cylin'\n", + "else:\n", + " coord = 'xyz'\n", + "\n", + "ident_name = name + \"_\" + coord \n", + "name_file = 'correct_%s.npy' % ident_name \n", + "\n", + "path_correct = os.path.join(output_encry, name_file )\n", + "correct = np.load(path_correct) \n", + "tol = correct[6]\n", + "correct = np.delete(correct, 6)\n", + "print('loading file ', path_correct)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Score hits counting [1908. 1847. 1759. 1697. 1539. 1417.] of 2000 tracks:\n", + "Total porcentage correct hits : ['95.4%', '92.35%', '87.95%', '84.85%', '76.95%', '70.85%']\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib import pyplot as plt\n", + "\n", + "total = pred_tracks.shape[0]\n", + "layers = ['L5', 'L6','L7','L8','L9','L10']\n", + "\n", + "fig, ax = plt.subplots(figsize=(8,6))\n", + "#ax.scatter(layers, correct)\n", + "plt.bar(layers, correct)\n", + "plt.xlabel('Layers')\n", + "plt.ylabel('Hits')\n", + "#plt.title('Detector layers(5000 tracks ~ 49900 hits)')\n", + "plt.title('Score for ' + str(total) + ' tracks')\n", + "fig.show()\n", + "\n", + "\n", + "print(\"Score hits counting %s of %s tracks:\"%(correct, total))\n", + "print(\"Total porcentage correct hits :\", [str(round((t*100)/total, 2)) +\"%\" for t in correct]) \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Track Reconstruction ##" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(4000, 20)\n", + "Reconstructed tracks: 775() of 2000 tracks\n" + ] + }, + { + "data": { + "text/html": [ + "
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0.103100 0.390618 0.104597 0.377815 0.106334 0.359119 \n", + "8 0.105719 -0.483614 0.081331 -0.481625 0.051748 -0.481276 0.011393 \n", + "12 -0.500195 0.215908 -0.495172 0.229498 -0.489682 0.239862 -0.481585 \n", + "13 -0.190714 0.278489 -0.183713 0.291856 -0.176115 0.302386 -0.164850 \n", + "... ... ... ... ... ... ... ... \n", + "1991 0.685909 0.404315 0.664630 0.409768 0.639550 0.414361 0.604171 \n", + "1992 0.708113 -0.263941 0.683562 -0.267353 0.653862 -0.269175 0.613125 \n", + "1995 0.411289 0.048156 0.393947 0.061532 0.374298 0.070699 0.345673 \n", + "1996 -0.383340 0.230905 -0.374202 0.235439 -0.363575 0.238721 -0.348617 \n", + "1999 -0.593184 -0.126291 -0.574482 -0.135707 -0.552377 -0.139965 -0.523659 \n", + "\n", + " 14 15 16 17 18 19 \n", + "4 0.180203 -0.283256 0.184554 -0.250108 0.173742 -0.205676 \n", + "7 0.107927 0.338094 0.105362 0.316014 0.105884 0.289041 \n", + "8 -0.480844 -0.034451 -0.476930 -0.082186 -0.481307 -0.141562 \n", + "12 0.246698 -0.472463 0.255227 -0.463486 0.253607 -0.452343 \n", + "13 0.307363 -0.152013 0.313390 -0.139497 0.314964 -0.123407 \n", + "... ... ... ... ... ... ... \n", + "1991 0.417239 0.565275 0.422315 0.524089 0.427318 0.473719 \n", + "1992 -0.271632 0.565608 -0.270708 0.516369 -0.272520 0.455719 \n", + "1995 0.078380 0.311225 0.079673 0.279454 0.084991 0.237154 \n", + "1996 0.240776 -0.331438 0.240799 -0.314053 0.246064 -0.292792 \n", + "1999 -0.142792 -0.488934 -0.145289 -0.452930 -0.148628 -0.408139 \n", + "\n", + "[775 rows x 20 columns]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "#df_diff = pd.concat([y_true,y_pred]).drop_duplicates(keep=False)\n", + "tracks = pd.concat([true_tracks, pred_tracks])\n", + "print(tracks.shape)\n", + "tracks_ = tracks[tracks.duplicated(keep='first')]\n", + "print('Reconstructed tracks: %s() of %s tracks' % (tracks_.shape[0], total))\n", + "tracks_" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2000, 20)\n", + "(2000, 20)\n", + "300\n" + ] + } + ], + "source": [ + "# select the number of samples\n", + "samples = 30\n", + "# Convert matrix to vector\n", + "tracks_pred_vec = np.array(convert_matrix_to_vec(pred_tracks[:samples], n_features))\n", + "tracks_real_vec = np.array(convert_matrix_to_vec(true_tracks[:samples], n_features))\n", + "\n", + "if points_3d:\n", + " tracks_pred_vec = pd.DataFrame(tracks_pred_vec, columns=['x','y','z'])\n", + " tracks_real_vec = pd.DataFrame(tracks_real_vec, columns=['x','y','z'])\n", + "else:\n", + " tracks_pred_vec = pd.DataFrame(tracks_pred_vec, columns=['y','z'])\n", + " tracks_real_vec = pd.DataFrame(tracks_real_vec, columns=['y','z'])\n", + "\n", + "# select 100\n", + "\n", + "print(pred_tracks.shape)\n", + "print(true_tracks.shape)\n", + "print(len(tracks_pred_vec))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# plot 10 tracks\n", + "fig = plt.gcf()\n", + "fig, ax = plt.subplots(figsize=(15,10))\n", + "plt.xlabel('Layer')\n", + "plt.ylabel('Phi [rand]')\n", + "\n", + "'''\n", + "plt.plot(tracks_pred_vec.iloc[0:10].z, tracks_pred_vec.iloc[0:10].y, '--bo',\n", + " tracks_real_vec.iloc[0:10].z, tracks_real_vec.iloc[0:10].y, '--ro', \n", + " tracks_pred_vec.iloc[10:20].z, tracks_pred_vec.iloc[10:20].y, '--bo',\n", + " tracks_real_vec.iloc[10:20].z, tracks_real_vec.iloc[10:20].y, '--ro',\n", + " tracks_pred_vec.iloc[20:30].z, tracks_pred_vec.iloc[20:30].y, '--bo',\n", + " tracks_real_vec.iloc[20:30].z, tracks_real_vec.iloc[20:30].y, '--ro', \n", + " tracks_pred_vec.iloc[30:40].z, tracks_pred_vec.iloc[30:40].y, '--bo',\n", + " tracks_real_vec.iloc[30:40].z, tracks_real_vec.iloc[30:40].y, '--ro',\n", + " tracks_pred_vec.iloc[40:50].z, tracks_pred_vec.iloc[40:50].y, '--bo',\n", + " tracks_real_vec.iloc[40:50].z, tracks_real_vec.iloc[40:50].y, '--ro',\n", + " tracks_pred_vec.iloc[50:60].z, tracks_pred_vec.iloc[50:60].y, '--bo',\n", + " tracks_real_vec.iloc[50:60].z, tracks_real_vec.iloc[50:60].y, '--ro',\n", + " tracks_pred_vec.iloc[70:80].z, tracks_pred_vec.iloc[70:80].y, '--bo',\n", + " tracks_real_vec.iloc[70:80].z, tracks_real_vec.iloc[70:80].y, '--ro',\n", + " tracks_pred_vec.iloc[80:90].z, tracks_pred_vec.iloc[80:90].y, '--bo',\n", + " tracks_real_vec.iloc[80:90].z, tracks_real_vec.iloc[80:90].y, '--ro',\n", + " tracks_pred_vec.iloc[90:100].z, tracks_pred_vec.iloc[90:100].y, '--bo',\n", + " tracks_real_vec.iloc[90:100].z, tracks_real_vec.iloc[90:100].y, '--ro', \n", + " )\n", + "\n", + "'''\n", + "'''\n", + "plt.plot(tracks_pred_vec.iloc[0:10].x, tracks_pred_vec.iloc[0:10].y, '--bo',\n", + " tracks_real_vec.iloc[0:10].x, tracks_real_vec.iloc[0:10].y, '--ro', \n", + " tracks_pred_vec.iloc[10:20].x, tracks_pred_vec.iloc[10:20].y, '--bo',\n", + " tracks_real_vec.iloc[10:20].x, tracks_real_vec.iloc[10:20].y, '--ro',\n", + " tracks_pred_vec.iloc[20:30].x, tracks_pred_vec.iloc[20:30].y, '--bo',\n", + " tracks_real_vec.iloc[20:30].x, tracks_real_vec.iloc[20:30].y, '--ro', \n", + " tracks_pred_vec.iloc[30:40].x, tracks_pred_vec.iloc[30:40].y, '--bo',\n", + " tracks_real_vec.iloc[30:40].x, tracks_real_vec.iloc[30:40].y, '--ro',\n", + " tracks_pred_vec.iloc[40:50].x, tracks_pred_vec.iloc[40:50].y, '--bo',\n", + " tracks_real_vec.iloc[40:50].x, tracks_real_vec.iloc[40:50].y, '--ro',\n", + " tracks_pred_vec.iloc[50:60].x, tracks_pred_vec.iloc[50:60].y, '--bo',\n", + " tracks_real_vec.iloc[50:60].x, tracks_real_vec.iloc[50:60].y, '--ro',\n", + " tracks_pred_vec.iloc[70:80].x, tracks_pred_vec.iloc[70:80].y, '--bo',\n", + " tracks_real_vec.iloc[70:80].x, tracks_real_vec.iloc[70:80].y, '--ro',\n", + " tracks_pred_vec.iloc[80:90].x, tracks_pred_vec.iloc[80:90].y, '--bo',\n", + " tracks_real_vec.iloc[80:90].x, tracks_real_vec.iloc[80:90].y, '--ro',\n", + " tracks_pred_vec.iloc[90:100].x, tracks_pred_vec.iloc[90:100].y, '--bo',\n", + " tracks_real_vec.iloc[90:100].x, tracks_real_vec.iloc[90:100].y, '--ro', \n", + " )\n", + "\n", + "'''\n", + "\n", + "plt.plot(tracks_pred_vec.iloc[0:10].x, tracks_pred_vec.iloc[0:10].z, '--bo',\n", + " tracks_real_vec.iloc[0:10].x, tracks_real_vec.iloc[0:10].z, '--ro', \n", + " tracks_pred_vec.iloc[10:20].x, tracks_pred_vec.iloc[10:20].z, '--bo',\n", + " tracks_real_vec.iloc[10:20].x, tracks_real_vec.iloc[10:20].z, '--ro',\n", + " tracks_pred_vec.iloc[20:30].x, tracks_pred_vec.iloc[20:30].z, '--bo',\n", + " tracks_real_vec.iloc[20:30].x, tracks_real_vec.iloc[20:30].z, '--ro', \n", + " tracks_pred_vec.iloc[30:40].x, tracks_pred_vec.iloc[30:40].z, '--bo',\n", + " tracks_real_vec.iloc[30:40].x, tracks_real_vec.iloc[30:40].z, '--ro',\n", + " tracks_pred_vec.iloc[40:50].x, tracks_pred_vec.iloc[40:50].z, '--bo',\n", + " tracks_real_vec.iloc[40:50].x, tracks_real_vec.iloc[40:50].z, '--ro',\n", + " tracks_pred_vec.iloc[50:60].x, tracks_pred_vec.iloc[50:60].z, '--bo',\n", + " tracks_real_vec.iloc[50:60].x, tracks_real_vec.iloc[50:60].z, '--ro',\n", + " tracks_pred_vec.iloc[70:80].x, tracks_pred_vec.iloc[70:80].z, '--bo',\n", + " tracks_real_vec.iloc[70:80].x, tracks_real_vec.iloc[70:80].z, '--ro',\n", + " tracks_pred_vec.iloc[80:90].x, tracks_pred_vec.iloc[80:90].z, '--bo',\n", + " tracks_real_vec.iloc[80:90].x, tracks_real_vec.iloc[80:90].z, '--ro',\n", + " tracks_pred_vec.iloc[90:100].x, tracks_pred_vec.iloc[90:100].z, '--bo',\n", + " tracks_real_vec.iloc[90:100].x, tracks_real_vec.iloc[90:100].z, '--ro', \n", + " )\n", + "\n", + "#plt.legend()\n", + "plt.title('Tracks Reconstructed')\n", + "plt.savefig('internal_reconstruction_cartesian_zy.png')\n", + "\n", + "plt.xlabel('Layer')\n", + "plt.ylabel('Phi [rad]')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# plotamos todas as camadas en 2D\n", + "fig = plt.gcf()\n", + "fig, ax0 = plt.subplots(figsize=(15,10))\n", + "# red dashes, blue squares and green triangles\n", + "\n", + "#samples = 100\n", + "true_tracks_ = true_tracks.iloc[0:samples,:]\n", + "pred_tracks_ = pred_tracks.iloc[0:samples,:]\n", + "\n", + "rows = pred_tracks_.shape[0]\n", + "cols = pred_tracks_.shape[1]\n", + "features = n_features\n", + "\n", + "\n", + "plt.xlabel('Layer')\n", + "plt.ylabel('Phi [rad]')\n", + "\n", + "#ax0.scatter(tracks_real_vec.x, tracks_real_vec.z, s=3, c='b')\n", + "#ax0.scatter(tracks_pred_vec.x, tracks_pred_vec.z, s=3, c='k') \n", + "\n", + "layer = 1\n", + "end_idx = 0\n", + "\n", + "total = len(tracks_real_vec)\n", + "for j in range(0, total, 10):\n", + " end_idx = j+10\n", + " #print(\" %s:%s\" % (j,end_idx))\n", + " x = tracks_real_vec.iloc[j:end_idx].x\n", + " y = tracks_real_vec.iloc[j:end_idx].y\n", + " z = tracks_real_vec.iloc[j:end_idx].z\n", + "\n", + " ax0.plot(x, z, '--bo') \n", + " \n", + " x = tracks_pred_vec.iloc[j:end_idx].x\n", + " y = tracks_pred_vec.iloc[j:end_idx].y\n", + " z = tracks_pred_vec.iloc[j:end_idx].z\n", + " ax0.plot(x, z, '--ro')\n", + "\n", + " layer = layer + 1\n", + "\n", + "\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# plot polar coordinates\n", + "\n", + "fig = plt.gcf()\n", + "fig, ax0 = plt.subplots(figsize=(15,10))\n", + "\n", + "plt.axes(polar = True)\n", + "\n", + "rho = np.linspace(0, 2*np.pi, 10)\n", + "total = len(tracks_real_vec)\n", + "for j in range(0, total, 10):\n", + " end_idx = j+10\n", + "\n", + " if points_3d:\n", + " rho = tracks_real_vec.iloc[j:end_idx].x.values\n", + "\n", + " eta = tracks_real_vec.iloc[j:end_idx].y.values\n", + " phi = tracks_real_vec.iloc[j:end_idx].z.values\n", + "\n", + " plt.plot(phi, rho, '--bo', label='true', markersize=3.5)\n", + " #plt.polar(phi, rho, '--bo',)\n", + " \n", + " if points_3d:\n", + " rho = tracks_pred_vec.iloc[j:end_idx].x.values \n", + "\n", + " eta = tracks_pred_vec.iloc[j:end_idx].y.values\n", + " phi = tracks_pred_vec.iloc[j:end_idx].z.values\n", + "\n", + " plt.plot(phi, rho, '--ro', label='pred', markersize=3)\n", + " #plt.polar(phi, rho, '--ro') \n", + "plt.xlabel('$\\phi $')\n", + "plt.ylabel('rho')\n", + "\n", + "#plt.legend(loc=\"upper right\")\n", + "plt.title(\"Tracks Reconstruction\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# plotamos todas as camadas en 2D\n", + "fig = plt.gcf()\n", + "fig, ax0 = plt.subplots(figsize=(15,10))\n", + "# red dashes, blue squares and green triangles\n", + "\n", + "#samples = 100\n", + "true_tracks_ = true_tracks.iloc[0:samples,:]\n", + "pred_tracks_ = pred_tracks.iloc[0:samples,:]\n", + "\n", + "rows = pred_tracks_.shape[0]\n", + "cols = pred_tracks_.shape[1]\n", + "features = n_features\n", + "\n", + "\n", + "plt.xlabel('Layer')\n", + "plt.ylabel('Phi [rad]')\n", + "\n", + "ax0.scatter(tracks_real_vec.x, tracks_real_vec.z, s=3, c='b')\n", + "ax0.scatter(tracks_pred_vec.x, tracks_pred_vec.z, s=3, c='k') \n", + "\n", + "layer = 1\n", + "for i in range(0, rows):\n", + " end_idx = 0\n", + " pred_track = []\n", + " real_track = []\n", + " for j in range(0, 10):\n", + " end_idx = j+features\n", + " print(\" %s:%s\" % (j,end_idx))\n", + " true_hit = np.array(true_tracks_.iloc[i, j:end_idx])\n", + " pred_hit = np.array(pred_tracks_.iloc[i, j:end_idx])\n", + "\n", + " #ax0.plot(true_hit[0], true_hit[1], '--bo')\n", + " #ax0.plot(pred_hit[0], pred_hit[1], '--ro')\n", + " #ax0.plot(layer, true_hit[1], '--bo')\n", + " #ax0.plot(layer, pred_hit[1], '--ro')\n", + " #ax0.plot([layer, pred_hit[1]], [layer, true_hit[1]], '--', c='k')\n", + " ax0.plot([pred_hit[0], pred_hit[1]], [true_hit[0], true_hit[1]], '--bo') \n", + " \n", + " #ax0.scatter(true_hit[0], true_hit[1], s=2, c='b')\n", + " #ax0.scatter(pred_hit[0], pred_hit[1], s=2, c='r')\n", + " #ax0.plot([true_hit[0], pred_hit[0]], [true_hit[1], pred_hit[1]], '-', c='r')\n", + " #ax0.plot([x[j], pred_hit[1]], [true_hit[1], pred_hit[1]], '-', c='r')\n", + " \n", + " #ax0.plot(true_hit[0], pred_hit[1], true_hit[0], pred_hit[1], '-', c='k')\n", + " #ax0.plot(pred_hit[0], pred_hit[1], '--', c='r', alpha=0.5)\n", + " #ax0.plot(true_hit[0], true_hit[2], pred_hit[0], pred_hit[2], '-', c='k')\n", + " #ax0.plot(true_hit[0], true_hit[2], '--bo',\n", + " # pred_hit[0], pred_hit[2], '--ro')\n", + " layer = layer + 1\n", + " layer = 1\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8.686630126474368" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\n", + "\n", + "a = np.array([5, 30])\n", + "b = np.array([6, 135])\n", + "distance_polar_2D(a, b) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Common ##" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "#import tensorflow as tf\n", + "#from tensorflow import set_random_seed\n", + "\n", + "#import keras.backend as K\n", + "#from keras.backend.tensorflow_backend import set_session\n", + "\n", + "from core.data.data_loader import *\n", + "from core.models.lstm import GaussianLSTM\n", + "from core.models.base import BagOfHits\n", + "\n", + "from core.utils.metrics import *\n", + "from core.utils.utils import *\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[Data] Data loaded from /data/track-ml/bracis/datasets/eta_n0.5-0.5_phi_n0.5-0.5/eta_n0.5-0.5_phi_n0.5-0.5_20200518171238_tracks.csv\n", + "[Data] Data set shape (30000, 20)\n", + "[Data] Data train shape (24000, 20)\n", + "[Data] Data test shape (6000, 20)\n", + "[Data] Data coordinates cylin\n", + "[Data] Data normalization type KindNormalization.Scaling\n" + ] + } + ], + "source": [ + "if type_norm == \"zscore\":\n", + " kind_norm = KindNormalization.Zscore\n", + "elif type_norm == \"maxmin\":\n", + " kind_norm = KindNormalization.Scaling\n", + "else:\n", + " print('error type normalization')\n", + " \n", + "data = Dataset(data_file, split_data, cylindrical, num_hits, kind_norm, points_3d=points_3d)\n", + "# divimos \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Functions Distributions" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "import numpy as np\n", + "from scipy.stats import norm\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "#import plotly.express as px\n", + "import plotly.graph_objects as go\n", + "#estimate \n", + "# plotamos todas as camadas en 2D\n", + "\n", + "def plot_layer_from_dist(name, eta_mean, eta_sigma, phi_mean, phi_sigma, type_plot=None):\n", + "\n", + " fig = plt.gcf()\n", + "\n", + " eta_pred = norm.median(eta_mean, eta_sigma)\n", + " phi_pred = norm.median(phi_mean, phi_sigma)\n", + " eta_pred = eta_pred.flatten()\n", + " phi_pred = phi_pred.flatten()\n", + " # intervals\n", + " # Calculate the 80% confidence interval\n", + " #lower, upper = norm.interval(0.8, eta_mean, eta_sigma)\n", + " \n", + " if type_plot=='pyplot':\n", + "\n", + " fig, ax = plt.subplots(figsize=(15,10))\n", + " ax.scatter(eta_pred, phi_pred, s=10, c='r', marker=\"s\", label='real') \n", + " ax.scatter(eta_true, phi_true, s=10, c='b', marker=\"s\", label='pred')\n", + "\n", + " ax.set_xlabel('etha')\n", + " ax.set_ylabel('phi')\n", + "\n", + " plt.legend()\n", + " plt.title('Tracks Reconstructed')\n", + " plt.savefig(name)\n", + " plt.show()\n", + " elif type_plot == 'plotly':\n", + "\n", + " fig = go.Figure()\n", + "\n", + " # Add traces\n", + " fig.add_trace(go.Scatter(x=eta_pred, y=phi_pred, mode='markers', name='pred'))\n", + " fig.add_trace(go.Scatter(x=eta_true, y=phi_true, mode='markers', name='real'))\n", + "\n", + " fig.update_xaxes(matches='x')\n", + " fig.update_yaxes(matches='y')\n", + " \n", + " fig.show()\n", + " else:\n", + " pass" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def plot_distribution1(data, title, x_label=None, y_label=None):\n", + " fig = plt.gcf()\n", + " fig, ax = plt.subplots(figsize=(8,8))\n", + " data = data.values\n", + " \n", + " mu, std = norm.fit(data)\n", + " txt1 = \"mu=%.2f\" % mu\n", + " txt1 = txt1 + \" std=%.2f\" % std\n", + " \n", + " sns.set(style=\"white\", palette=\"muted\", color_codes=True)\n", + " sns.despine(left=True)\n", + " plt.grid(True)\n", + "\n", + " sns.distplot(data, kde=True, color=\"b\", rug=False)\n", + " #sns.distplot(data, fit=norm, color=\"b\", rug=True)\n", + " \n", + " ax.set_xlabel(x_label)\n", + " plt.legend(loc=\"upper right\", labels=[txt1])\n", + "\n", + " plt.title(title)\n", + "\n", + " plt.show()\n", + "\n", + "def plot_distribution2(data, title, x_label=None, y_label=None):\n", + " # Generate some data for this demonstration.\n", + " #data = norm.rvs(10.0, 2.5, size=500)\n", + " fig = plt.gcf()\n", + " fig, ax = plt.subplots(figsize=(7,10))\n", + " data = data.values\n", + " \n", + " # Fit a normal distribution to the data:\n", + " mu, std = norm.fit(data)\n", + " txt = \"mu = %.2f, \\nstd = %.2f\" % (mu, std)\n", + " \n", + " w = 1\n", + " n = math.ceil((data.max() - data.min())/w)\n", + "\n", + " counts, bins = np.histogram(data)\n", + " \n", + " # Plot the histogram.\n", + " plt.hist(data, n, density=True, alpha=0.6)\n", + "\n", + " xmin, xmax = plt.xlim()\n", + " x = np.linspace(xmin, xmax, len(data))\n", + " #x = np.linspace(data.min(), data.max()+1, len(data))\n", + "\n", + " y = norm.pdf(x, mu, std)\n", + " plt.plot(x, y, 'k', color='orange', linewidth=2, label=txt)\n", + " ax.set_xlabel(x_label)\n", + " plt.legend(loc=\"upper right\")\n", + " plt.title(title)\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load model ##\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[Model] Set memory growth for %s to True PhysicalDevice(name='/physical_device:GPU:0', device_type='GPU')\n", + "[Model] 1 Physical GPUs, 1 Logical GPUs\n" + ] + } + ], + "source": [ + "model = GaussianLSTM(configs) " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[Model] Loading model from file compiled/model-gaussian-lstm-MEnGHa5DCmJGE9C9BpAg4i-coord-cylin-normalise-false-epochs-42-batch-24.h5\n" + ] + } + ], + "source": [ + "if not model.load_model():\n", + " print ('[Error] please change the config file : load_model')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load Testing data" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(6000, 8)\n", + "(6000, 12)\n" + ] + } + ], + "source": [ + "# not normalized\n", + "x_scaler, y_scaler = None, None\n", + "\n", + "if normalise:\n", + " x_scaler, y_scaler = data.load_scale_param(output_encry)\n", + "\n", + "\n", + "normalise_testing = configs['testing']['normalise']\n", + "\n", + "X_test, y_test = data.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", + " n_features=n_features, normalise=False,\n", + " xscaler=x_scaler, yscaler=y_scaler)\n", + "\n", + "print(X_test.shape)\n", + "print(y_test.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(6000, 8)\n", + "(6000, 12)\n" + ] + } + ], + "source": [ + "# short dataset\n", + "samples = 0\n", + "if samples > 0:\n", + " X_test = X_test.iloc[0:samples,]\n", + " y_test = y_test[0:samples]\n", + "\n", + "print(X_test.shape)\n", + "print(y_test.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(6000, 4, 2)\n", + "(6000, 6, 2)\n", + "(6000, 12)\n" + ] + } + ], + "source": [ + "X_test_ = data.reshape3d(X_test, time_steps, n_features)\n", + "y_test_ = data.reshape3d(y_test, 6, n_features)\n", + "\n", + "print(X_test_.shape)\n", + "print(y_test_.shape)\n", + "print(y_test.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(6000, 2)\n", + "(6000, 2)\n" + ] + } + ], + "source": [ + "batch = configs['training']['batch_size']\n", + "\n", + "mean, sigma = model.predict_prob(X_test_, bs=batch)\n", + "print(mean.shape)\n", + "print(sigma.shape)\n", + "#mu_pred, sigma_pred " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "eta_mean, eta_sigma = mean[:,0], sigma[:,0]\n", + "phi_mean, phi_sigma = mean[:,1], sigma[:,1]\n", + "\n", + "eta_mean = np.reshape(eta_mean, (len(eta_mean), 1))\n", + "eta_sigma = np.reshape(eta_sigma, (len(eta_sigma), 1))\n", + "phi_mean = np.reshape(phi_mean, (len(eta_mean), 1))\n", + "phi_sigma = np.reshape(phi_sigma, (len(eta_sigma), 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "if points_3d:\n", + " rho_mean, rho_sigma = mean[:,0], sigma[:,0]\n", + " eta_mean, eta_sigma = mean[:,1], sigma[:,1]\n", + " phi_mean, phi_sigma = mean[:,2], sigma[:,2]\n", + "\n", + " rho_pred = norm.median(rho_mean, rho_sigma)\n", + " eta_pred = norm.median(eta_mean, eta_sigma)\n", + " phi_pred = norm.median(phi_mean, phi_sigma)\n", + "\n", + " t = len(rho_mean)\n", + " means = np.reshape([rho_mean, eta_mean, phi_mean], (t, n_features))\n", + " sigmas = np.reshape([rho_sigma, eta_sigma, phi_sigma], (t, n_features))\n", + " \n", + " if normalise:\n", + " orig_means = data.inverse_transform_y(means)\n", + " orig_sigmas = data.inverse_transform_y(sigmas)\n", + "\n", + " else:\n", + " orig_means = means\n", + " orig_sigmas = sigmas\n", + " \n", + " rho_mean = np.reshape(orig[], (len(rho_mean), 1))\n", + " rho_sigma = np.reshape(rho_sigma, (len(rho_sigma), 1))\n", + "else:\n", + " \n", + " eta_mean, eta_sigma = mean[:,0], sigma[:,0]\n", + " phi_mean, phi_sigma = mean[:,1], sigma[:,1]\n", + "\n", + " means = np.reshape([rho_mean, eta_mean, phi_mean], (1, n_features))\n", + " sigmas = np.reshape([rho_sigma, eta_sigma, phi_sigma], (1, n_features))\n", + " if normalise:\n", + " orig_means = data.inverse_transform_y(means)\n", + " orig_sigmas = data.inverse_transform_y(sigmas)\n", + "\n", + " else:\n", + " orig_means = means\n", + " orig_sigmas = sigmas\n", + " \n", + " #eta_pred = norm.median(eta_mean, eta_sigma)\n", + " #phi_pred = norm.median(phi_mean, phi_sigma)\n", + " \n", + " #y_pred = np.reshape([eta_pred, phi_pred], (1, n_features))\n", + "\n", + "eta_mean = np.reshape(orig_means[1], (len(eta_mean), 1))\n", + "phi_mean = np.reshape(phi_mean, (len(phi_mean), 1))\n", + "\n", + "eta_sigma = np.reshape(eta_sigma, (len(eta_sigma), 1))\n", + "phi_sigma = np.reshape(phi_sigma, (len(phi_sigma), 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6000\n" + ] + } + ], + "source": [ + "layer_5 = y_test.iloc[:,0:n_features].values\n", + "if points_3d:\n", + " rho_true = layer_5[:,0]\n", + " eta_true = layer_5[:,1]\n", + " phi_true = layer_5[:,2]\n", + "else:\n", + "\n", + " eta_true = layer_5[:,0]\n", + " phi_true = layer_5[:,1]\n", + "print(len(eta_true))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "eta_true = pd.DataFrame(eta_true)\n", + "phi_true = pd.DataFrame(phi_true)\n", + "eta_x = (eta_mean - eta_true)/eta_sigma\n", + "phi_x = (phi_mean - phi_true)/phi_sigma\n", + "\n", + "eta_true = eta_true.values.flatten()\n", + "phi_true = phi_true.values.flatten()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_distribution1(eta_x, \"Etha Distribution\", \"(eta-eta_true)/std_true\")\n", + "plot_distribution2(eta_x, \"Etha Distribution\", \"(eta-eta_true)/std_true\")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_distribution1(phi_x, \"Phi Distribution\", \"(phi-phi_true)/phi_std\")\n", + "plot_distribution2(phi_x, \"Phi Distribution\", \"(phi-phi_true)/phi_std\")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_layer_from_dist('plot_phi_eta.png', eta_mean, eta_sigma, \n", + " phi_mean, phi_sigma, type_plot='pyplot')\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plotamos todas as camadas en 2D\n", + "fig = plt.gcf()\n", + "fig, ax = plt.subplots(figsize=(15,10))\n", + "\n", + "ax.scatter(tracks_real_vec.y, tracks_real_vec.z, s=10, c='r', marker=\"s\", label='real') \n", + "ax.scatter(tracks_pred_vec.y,tracks_pred_vec.z, s=6, c='b', marker=\"s\", label='pred')\n", + "\n", + "ax.set_xlabel('Z')\n", + "ax.set_ylabel('Y')\n", + "\n", + "plt.legend()\n", + "plt.title('Tracks Reconstructed')\n", + "plt.savefig('all_tracks_pred.png')\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebooks/plot_prediction.ipynb b/notebooks/plot_prediction.ipynb index 4abbd46..bc01a98 100644 --- a/notebooks/plot_prediction.ipynb +++ b/notebooks/plot_prediction.ipynb @@ -4942,7 +4942,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.8.2" } }, "nbformat": 4, From ccc9b46e4b144631677dfe6c48bb27bd585314b3 Mon Sep 17 00:00:00 2001 From: Steve Ataucuri Date: Sun, 4 Oct 2020 01:33:51 +0000 Subject: [PATCH 3/3] Purge some unuseful notebooks --- notebooks/data_visualization.ipynb | 420 - notebooks/explore_dbscan.ipynb | 91815 ------------------------ notebooks/main_test_nearest-dev.ipynb | 1332 - notebooks/main_test_nearest.ipynb | 6927 -- notebooks/normalization_data.ipynb | 101 - 5 files changed, 100595 deletions(-) delete mode 100644 notebooks/data_visualization.ipynb delete mode 100644 notebooks/explore_dbscan.ipynb delete mode 100644 notebooks/main_test_nearest-dev.ipynb delete mode 100644 notebooks/main_test_nearest.ipynb delete mode 100644 notebooks/normalization_data.ipynb diff --git a/notebooks/data_visualization.ipynb b/notebooks/data_visualization.ipynb deleted file mode 100644 index 325cc40..0000000 --- a/notebooks/data_visualization.ipynb +++ /dev/null @@ -1,420 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import sys\n", - "import os\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# include path to our library\n", - "cwd = os.getcwd()\n", - "dir_path = os.path.dirname(os.path.realpath(cwd))\n", - "sys.path.append(dir_path)\n", - "time.sleep(2)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dir_path\n", - "%cd $dir_path\n", - "!ls" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "\n", - "from matplotlib import pyplot as plt\n", - "from core.data.data_loader import *\n", - "from sklearn.model_selection import train_test_split" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "prefix = './dataset/2020_100_sorted.csv'\n", - "prefix = './dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv'\n", - "\n", - "HITS = 10\n", - "\n", - "data = Dataset(prefix, KindNormalization.Zscore)\n", - "#x, y = data.get_training_data(normalise=False, cylindrical=False, hit=10)\n", - "dataset = data.get_training_data(cylindrical=False, hits=HITS)\n", - "#X, y = data.convert_to_supervised(x.values, n_hit_in=4, n_hit_out=1,n_features=3)\n", - "dataset = dataset.iloc[0:2640,0:]\n", - "print(dataset.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#dataset" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def convert_to_supervisedd(sequences, n_hit_in, n_hit_out, n_features):\n", - " '''\n", - " n_hit_in : 3 number of hits\n", - " n_hit_out: 1 number of future hits\n", - " n_features 3\n", - " '''\n", - " X , Y = [],[]\n", - "\n", - " rows = sequences.shape[0]\n", - " cols = sequences.shape[1]\n", - " \n", - "\n", - " for i in range(0, rows):\n", - " print('begin track ', i)\n", - " \n", - " end_idx = 0\n", - " out_end_idx = 0\n", - " \n", - " for j in range(0, cols, n_features):\n", - " end_idx = j + n_hit_in*n_features\n", - " out_end_idx = end_idx + n_hit_out*n_features\n", - "\n", - " if out_end_idx > cols+1:\n", - " print('\\t cols %s, end_ix %s , out_end_idx %s' % ( cols, end_idx, out_end_idx))\n", - " print('end track ', i) \n", - " break\n", - " \n", - " print('\\t x[%s,%s:%s] y[%s,%s:%s]' % (i, j, end_idx, i, end_idx, out_end_idx)) \n", - " seq_x, seq_y = sequences[i, j:end_idx], sequences[i, end_idx:out_end_idx]\n", - " \n", - " X.append(seq_x)\n", - " Y.append(seq_y)\n", - " \n", - " print(rows, cols)\n", - " #return np.array(X) , np.array(Y)\n", - " return pd.DataFrame(X) , pd.DataFrame(Y) \n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dataset.to_csv('verifica.csv')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "Normalise = True\n", - "X, y = data.convert_to_supervised(dataset.values, n_hit_in=4, n_hit_out=1,n_features=3, normalise=Normalise)\n", - "# there is empty data?\n", - "print(X.isnull().values.any())\n", - "print(y.isnull().values.any())\n", - "print(X.shape)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# concat to see if they are correct\n", - "#pd.concat([X, y], axis =1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "p = 0.2\n", - "isplit = round(len(dataset)*p)\n", - "\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=p, shuffle=False)\n", - "print('[Data] split ', isplit)\n", - "print('[Data] shape data dataset.shape:', dataset.shape)\n", - "print('[Data] shape data X_train.shape:', X_train.shape)\n", - "print('[Data] shape data y_train.shape:', y_train.shape)\n", - "print('[Data] shape data X_test.shape:', X_test.shape)\n", - "print('[Data] shape data y_test.shape:', y_test.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# divido dos dados origns\n", - "X_train_new, X_test_new = train_test_split(dataset, test_size=0.2, shuffle=False)\n", - "print('[Data] shape data dataset.shape:', dataset.shape)\n", - "print('[Data] shape data X_train.shape:', X_train_new.shape)\n", - "print('[Data] shape data X_test_new.shape:', X_test_new.shape)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x_true = X_test_new.iloc[:,0:12] #pd.DataFrame(\n", - "y_true = X_test_new.iloc[:,12:30]\n", - "\n", - "print('[Data] shape data x_true.shape:', x_true.shape)\n", - "print('[Data] shape data y_true.shape:', y_true.shape)\n", - "\n", - "df_test = np.concatenate([x_true, y_true], axis=1)\n", - "print('[Data] shape data df_test.shape:' , df_test.shape)\n", - "df_test = pd.DataFrame(df_test)\n", - "print(df_test.isnull().values.any())\n", - "df_test.tail()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\tdef convert_supervised_to_normal1(sequences, n_hit_in, n_hit_out, hits):\n", - "\t\t'''\n", - "\t\t\tThis function convert the predicted sequences to a vector\n", - "\t\t\tn_hit_in : 4 number of hits\n", - "\t\t\tn_hit_out: 1 number of future hits\n", - "\t\t\thits\t : 10\n", - "\t\t'''\n", - "\n", - "\t\tY = []\n", - "\n", - "\t\tlen_pred_seq = hits - n_hit_in\n", - "\t\tlen_seq = len(sequences)\n", - "\t\tend_ix = 0\n", - "\n", - "\t\tfor x in range(0, len_seq, len_pred_seq):\n", - "\t\t\tcols = []\n", - "\t\t\tend_ix = x + len_pred_seq\n", - "\t\t\tpred_seq = sequences[x:end_ix,:]\n", - "\n", - "\t\t\t#print('matrix: ', pred_seq)\n", - "\t\t\t\t\t\n", - "\t\t\tpred_seq = np.matrix(pred_seq).flatten().tolist()\t\t\t\n", - "\t\t\t#result = m_pred_seq.flatten().tolist()\n", - "\t\t\t#print('result: ', pred_seq)\n", - "\t\t\t#print('result 0: ', pred_seq[0])\n", - "\t\t\t#for i in range(0, len(pred_seq)):\t\t\n", - "\t\t\t#\tprint('\\t row added:', pred_seq[i,:])\n", - "\t\t\t#\tocls.append(pred_seq[i,:])\n", - "\t\t\t#print(lst.to_matrix())\n", - "\n", - "\t\t\tY.append(pred_seq[0])\n", - "\n", - "\t\treturn Y" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "conv = convert_supervised_to_normal1(y_test.values, n_hit_in=4, n_hit_out=1, hits=10)\n", - "conv = pd.DataFrame(conv)\n", - "print(conv.isnull().values.any())\n", - "print('[Data] shape data conv.shape:' , conv.shape)\n", - "#conv.loc[conv.index.dropna()]\n", - "#conv.index.dropna()\n", - "#conv.index.dropna()\n", - "# get index with nan\n", - "inds = pd.isnull(conv).any(1).to_numpy().nonzero()[0]\n", - "inds\n", - "#conv.index.dropna(inds)\n", - "#conv.drop(conv[conv['index'].isnull()].index, inplace=True)\n", - "#conv[conv.index.notnull()]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "if Normalise:\n", - " y_test_inv = pd.DataFrame(data.inverse_transform_y(y_test))\n", - "else:\n", - " y_test_inv = y_test\n", - "\n", - "y_test_orig = pd.DataFrame(convert_supervised_to_normal1(y_test_inv.values,\n", - " n_hit_in=4, n_hit_out=1, hits=10))\n", - "\n", - "print(y_test_orig.isnull().values.any())\n", - "#print(y_test_orig.isnull().sum())\n", - "\n", - "print('[Data] shape data y_test.shape:' , y_test.shape)\n", - "\n", - "if y_test_orig.isnull().values.any():\n", - " y_test_orig = y_test_orig.dropna()\n", - "\n", - "print('[Data] shape data y_test_orig.shape:' , y_test_orig.shape)\n", - "print('[Data] shape data x_true.shape:' , x_true.shape)\n", - "\n", - "#if x_true.count() != y_test_orig.count():\n", - "#x_true.drop(index=529, inplace=True)\n", - "#x_true = x_true.iloc[0:529,:]\n", - "#y_true = y_true.iloc[0:529,:]\n", - "#print(x_true.shape)\n", - "#print(y_test_orig.shape) \n", - "df_recons = np.concatenate([x_true, y_test_orig], axis=1)\n", - "df_recons = pd.DataFrame(df_recons)\n", - "print('[Data] shape data df_recons.shape:' , df_recons.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# deve ser iguales\n", - "y_test_orig.values == y_true.values\n", - "#print(y_true.shape)\n", - "#print(y_test_orig.shape) " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "df_test.values == df_recons.values" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#y_test_orig.head()\n", - "df_recons.head()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from core.utils.utils import *\n", - "\n", - "N_tracks = 50\n", - "fig = track_plot_xyz([dataset], n_hits = 10, cylindrical = False, n_tracks = 100, \n", - " path='track-test.html', title='Data original 10 hits')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "fig = track_plot_xyz([df_test, df_recons], n_hits = 10, cylindrical = False, n_tracks = N_tracks, \n", - " path='track-test.html', title='Data original 10 hits')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "fig = track_plot_xyz([y_true, y_test_orig ], n_hits = 6, cylindrical = False, n_tracks = N_tracks, \n", - " path='tmp.html', title='tmp')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig = track_plot_xyz([df_recons], n_hits = 10, cylindrical = False, n_tracks = N_tracks, \n", - " path='track-test.html', title='Data original 10 hits')\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/explore_dbscan.ipynb b/notebooks/explore_dbscan.ipynb deleted file mode 100644 index 299276c..0000000 --- a/notebooks/explore_dbscan.ipynb +++ /dev/null @@ -1,91815 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import sys\n", - "import os\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# include path to our library\n", - "cwd = os.getcwd()\n", - "dir_path = os.path.dirname(os.path.realpath(cwd))\n", - "sys.path.append(dir_path)\n", - "time.sleep(2)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "/home/sataucuri/merged_git/track-ml\n", - "compiled\t\t logs\t\t run_tests.sh\r\n", - "config_cnn.json\t\t main_inference.py run_trains2.sh\r\n", - "config_default.json\t main_mlp.py\t run_trains3.sh\r\n", - "config_lstm_2.json\t main_train.py run_trains.sh\r\n", - "config_lstm_900.json\t notebooks\t script_ency_dataset.py\r\n", - "config_lstm_for_test.json old\t\t script_generate_dist.py\r\n", - "config_lstm.json\t output\t sensor_labels.html\r\n", - "config_rnn.json\t\t prediction-img.png short_dataset.py\r\n", - "core\t\t\t README.md\t tmp\r\n", - "dataset\t\t\t results\r\n", - "env.yml\t\t\t run_tests1.sh\r\n" - ] - } - ], - "source": [ - "dir_path\n", - "%cd $dir_path\n", - "!ls" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "import argparse\n", - "import json\n", - "\n", - "from sklearn.model_selection import train_test_split\n", - "\n", - "from core.utils.metrics import *\n", - "from core.utils.utils import *\n", - "from core.data.data_loader import *" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "OK reading of json file\n" - ] - } - ], - "source": [ - "# load some configurations configurations of model and others\n", - "configs = json.load(open('config_lstm.json', 'r'))\n", - "output_path = configs['paths']['save_dir']\n", - "output_logs = configs['paths']['log_dir']\n", - "\n", - "if os.path.isdir(output_path) == False:\n", - " os.mkdir(output_path)\n", - "\n", - "if os.path.isdir(output_logs) == False:\n", - " os.mkdir(output_logs) \n", - "\n", - "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", - "num_features = configs['model']['layers'][0]['input_features'] # the number of features of each hits\n", - "split_data = configs['data']['train_split'] # the number of features of each hits\n", - "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", - "#cylindrical = False\n", - "normalise = configs['data']['normalise'] \n", - "num_hits = configs['data']['num_hits']\n", - "\n", - "print('OK reading of json file')\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'/data/track-ml/eramia/dataset/eta_n0.5-0.5_phi_ninf-pinf.csv'" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# reading path of data\n", - "path = configs['data']['filename']\n", - "#path = '/data/track-ml/eramia/dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv'\n", - "path = '/data/track-ml/eramia/dataset/eta_0.0-1.0_phi_0.0-1.0.csv'\n", - "\n", - "# external\n", - "path = '/data/track-ml/eramia/dataset/eta_n0.5-0.5_phi_ninf-pinf.csv'\n", - "path" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Data] Data loaded from /data/track-ml/eramia/dataset/eta_n0.5-0.5_phi_ninf-pinf.csv\n", - "[Data] Data set shape (30000, 30)\n", - "[Data] Data train shape (24000, 30)\n", - "[Data] Data test shape (6000, 30)\n", - "[Data] Data coordinates xyz\n" - ] - } - ], - "source": [ - "cylindrical = False\n", - "data = Dataset(path, split_data, cylindrical, num_hits, KindNormalization.Zscore)\n", - "# divimos " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "X_train, y_train = data.get_training_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=False)\n", - "\n", - "\n", - "#X_train = X_train.iloc[:,]\n", - "#y_test = y_test[0:1000]\n", - "print(X_train.shape)\n", - "print(y_train.shape)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "#separamos as layers\n", - "layer_1 = data.data.iloc[:, 0:3]\n", - "layer_2 = data.data.iloc[:, 3:6]\n", - "layer_3 = data.data.iloc[:, 6:9]\n", - "layer_4 = data.data.iloc[:, 9:12]\n", - "layer_5 = data.data.iloc[:, 12:15]\n", - "layer_6 = data.data.iloc[:, 15:18]\n", - "layer_7 = data.data.iloc[:, 18:21]\n", - "layer_8 = data.data.iloc[:, 21:24]\n", - "layer_9 = data.data.iloc[:, 24:27]\n", - "layer_10 = data.data.iloc[:, 27:30]\n", - "\n", - "#layer_1 = data.data.iloc[0:5000, 0:3]\n", - "#layer_2 = data.data.iloc[0:5000, 3:6]\n", - "#layer_3 = data.data.iloc[0:5000, 6:9]\n", - "#layer_4 = data.data.iloc[0:5000, 9:12]\n", - "#layer_5 = data.data.iloc[0:5000, 12:15]\n", - "#layer_6 = data.data.iloc[0:5000, 15:18]\n", - "#layer_7 = data.data.iloc[0:5000, 18:21]\n", - "#layer_8 = data.data.iloc[0:5000, 21:24]\n", - "#layer_9 = data.data.iloc[0:5000, 24:27]\n", - 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" - ], - "text/plain": [ - " x_4 y_4 z_4\n", - "1680 213.382004 151.692001 88.000000\n", - "1958 263.096985 2.909080 113.199997\n", - "2356 237.292007 105.107002 80.800003\n", - "2523 252.643005 45.370499 125.199997\n", - "2615 200.490005 167.190002 31.799999\n", - "... ... ... ...\n", - "29863 187.490005 182.457993 90.400002\n", - "29885 245.186996 85.559700 188.600006\n", - "29915 256.893005 8.960500 263.399994\n", - "29979 189.794998 178.757004 61.599998\n", - "29982 258.958008 37.806702 116.800003\n", - "\n", - "[434 rows x 3 columns]" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#layer_1_ existe valores repetidos em outras camadas?\n", - "layer_2_ = layer_2[layer_2.duplicated()]\n", - "#layer_2_ no existe\n", - "layer_3_ = layer_3[layer_3.duplicated()]\n", - "#layer_3_ no exisste\n", - "layer_4_ = layer_4[layer_4.duplicated()]\n", - "#layer_4_ # no existe\n", - "layer_6_ = layer_6[layer_6.duplicated()]\n", - "\n", - "layer_5_ = layer_5[layer_5.duplicated()]\n", - "layer_5_" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "layer_5_.to_csv('duplicados_layer_5.csv')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# e1:2356 e2:1643 dist=0.0\n", - "# e1:2523 e2:1497 dist=0.0\n", - "# e1:2615 e2:1403 dist=0.0\n", - "layer_5.iloc[1643,:]\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "layer_5.iloc[2356,:]\n", - "\n", - "\n", - "#print(layer_6_)\n", - "#layer_5_" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Valores duplicados encontrados 4 :\n", - "Valores duplicados encontrados 0 :\n", - "Valores duplicados encontrados 0 :\n", - "Valores duplicados encontrados 0 :\n", - "Valores duplicados encontrados 434 :\n", - "Valores duplicados encontrados 245 :\n", - "Valores duplicados encontrados 149 :\n", - "Valores duplicados encontrados 100 :\n", - "Valores duplicados encontrados 961 :\n", - "Valores duplicados encontrados 731 :\n" - ] - } - ], - "source": [ - "# elimino valores duplicados\n", - "layer_1_ = layer_1.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_1.shape[0] - layer_1_.shape[0]))\n", - "\n", - "layer_2_ = layer_2.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_2.shape[0] - layer_2_.shape[0]))\n", - "\n", - "layer_3_ = layer_3.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_3.shape[0] - layer_3_.shape[0]))\n", - "\n", - "layer_4_ = layer_4.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_4.shape[0] - layer_4_.shape[0]))\n", - "\n", - "layer_5_ = layer_5.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_5.shape[0] - layer_5_.shape[0]))\n", - "\n", - "layer_6_ = layer_6.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_6.shape[0] - layer_6_.shape[0]))\n", - "\n", - "layer_7_ = layer_7.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_7.shape[0] - layer_7_.shape[0]))\n", - "\n", - "layer_8_ = layer_8.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_8.shape[0] - layer_8_.shape[0]))\n", - "\n", - "layer_9_ = layer_9.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_9.shape[0] - layer_9_.shape[0]))\n", - "\n", - "layer_10_ = layer_10.drop_duplicates()\n", - "print('Valores duplicados encontrados %s :' % (layer_10.shape[0] - layer_10_.shape[0]))" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(300000, 3)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#juntamos todas as camadas limpas\n", - "sensor = np.concatenate([layer_1, layer_2, layer_3, layer_4,\n", - " layer_5, layer_6, layer_7, layer_8,\n", - " layer_9, layer_10], axis = 0)\n", - "sensor = pd.DataFrame(sensor, columns=['x','y', 'z'])\n", - "\n", - "sensor.shape" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Calculamos a minima distancia por Camada ##" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/sataucuri/.conda/envs/trackml2/lib/python3.7/site-packages/ipykernel_launcher.py:5: FutureWarning:\n", - "\n", - "Method .as_matrix will be removed in a future version. Use .values instead.\n", - "\n" - ] - } - ], - "source": [ - "# selecionamos que data set se normalizamos ou não\n", - "#matrix = StandardScaler().fit_transform(layer_5_)\n", - "#dataset = pd.DataFrame(layer_5_, columns=['x','y', 'z'])\n", - "\n", - "matrix = layer_5.as_matrix()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "total 30000\n", - "processing...\n", - " e1:0 e2:4253 dist=239.83142768361063\n", - " e1:1 e2:28962 dist=141.77223017927867\n", - " e1:6 e2:10687 dist=283.05921068329326\n", - " e1:7 e2:19421 dist=309.1201329563389\n", - " e1:109 e2:19521 dist=508.05337942488046\n", - " e1:188 e2:18070 dist=515.8168570803865\n", - " e1:478 e2:4412 dist=114.17198522256025\n", - " e1:607 e2:7890 dist=472.9464255527126\n", - " e1:613 e2:14835 dist=48.022389052974944\n", - " e1:886 e2:11523 dist=555.0273662250394\n", - " e1:1054 e2:20398 dist=61.87202459666759\n", - " 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e2:15398 dist=0.0\n", - " e1:19623 e2:5252 dist=0.0\n", - " e1:19858 e2:6140 dist=0.0\n", - " e1:19996 e2:27854 dist=261.36233756248373\n", - " e1:20235 e2:2198 dist=0.0\n", - " e1:20243 e2:16541 dist=0.0\n", - " e1:20399 e2:1054 dist=0.0\n", - " e1:20734 e2:3387 dist=0.0\n", - " e1:20899 e2:3401 dist=0.0\n", - " e1:21078 e2:19501 dist=0.0\n", - " e1:21327 e2:18820 dist=0.0\n", - " e1:21462 e2:9822 dist=0.0\n", - " e1:21498 e2:24461 dist=190.39451573616816\n", - " e1:21648 e2:27345 dist=215.92564125466407\n", - " e1:21649 e2:27346 dist=35.20843316612291\n", - " e1:21688 e2:16403 dist=0.0\n", - " e1:21888 e2:5606 dist=0.0\n", - " e1:21943 e2:7225 dist=0.0\n", - " e1:21949 e2:7232 dist=0.0\n", - " e1:22088 e2:11195 dist=0.0\n", - " e1:22472 e2:10071 dist=0.0\n", - " e1:22607 e2:11902 dist=0.0\n", - " e1:23055 e2:24742 dist=540.1655664484737\n", - " e1:23454 e2:15604 dist=0.0\n", - " e1:23547 e2:23558 dist=427.2677672009822\n", - " e1:23559 e2:23547 dist=0.0\n", - " e1:23778 e2:29484 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109: 19521, 188: 18070, 478: 4412, 607: 7890, 613: 14835, 886: 11523, 1054: 20398, 1080: 29287, 1114: 4666, 1375: 29153, 1590: 4004, 1657: 6118, 1675: 7977, 1768: 16172, 2198: 20234, 2517: 13574, 2742: 14417, 3219: 14032, 3309: 4084, 3387: 20733, 3392: 13442, 3401: 20898, 3769: 28125, 3855: 12601, 3948: 13809, 4005: 1590, 4085: 3309, 4136: 4340, 4233: 15651, 4341: 4136, 4667: 1114, 5064: 23871, 5066: 23873, 5252: 19622, 5606: 21887, 6119: 1657, 6129: 13990, 6140: 19857, 6346: 24795, 6792: 17290, 6936: 16884, 6999: 16026, 7225: 21942, 7232: 21948, 7516: 12463, 7891: 607, 7978: 1675, 8184: 10627, 8549: 8928, 8761: 18737, 8851: 27636, 8929: 8549, 9670: 17088, 9822: 21461, 9856: 27069, 10058: 29935, 10071: 22471, 10628: 8184, 10915: 28604, 10968: 15598, 11023: 16318, 11195: 22087, 11524: 886, 11650: 17279, 11877: 29876, 11902: 22606, 11953: 12227, 11954: 12228, 12228: 11953, 12229: 11954, 12464: 7516, 12602: 3855, 12783: 14677, 12933: 16215, 13157: 19011, 13165: 19019, 13337: 28946, 13443: 3392, 13461: 15023, 13481: 28622, 13494: 24681, 13575: 2517, 13810: 3948, 13991: 6129, 14033: 3219, 14327: 18292, 14418: 2742, 14678: 12783, 14792: 26370, 14836: 613, 14844: 26422, 15024: 13461, 15398: 19579, 15599: 10968, 15604: 23453, 15644: 25312, 15652: 4233, 16027: 6999, 16128: 17910, 16173: 1768, 16216: 12933, 16319: 11023, 16403: 21687, 16541: 20242, 16885: 6936, 17089: 9670, 17250: 17861, 17280: 11650, 17291: 6792, 17394: 26372, 17862: 17250, 17911: 16128, 18162: 29401, 18276: 27296, 18293: 14327, 18738: 8761, 18820: 21326, 19012: 13157, 19020: 13165, 19501: 21077, 19580: 15398, 19623: 5252, 19858: 6140, 19996: 27854, 20235: 2198, 20243: 16541, 20399: 1054, 20734: 3387, 20899: 3401, 21078: 19501, 21327: 18820, 21462: 9822, 21498: 24461, 21648: 27345, 21649: 27346, 21688: 16403, 21888: 5606, 21943: 7225, 21949: 7232, 22088: 11195, 22472: 10071, 22607: 11902, 23055: 24742, 23454: 15604, 23547: 23558, 23559: 23547, 23778: 29484, 23872: 5064, 23874: 5066, 24462: 21498, 24682: 13494, 24743: 23055, 24796: 6346, 25313: 15644, 26371: 14792, 26373: 17394, 26423: 14844, 27070: 9856, 27297: 18276, 27346: 21648, 27347: 21649, 27637: 8851, 27855: 19996, 28126: 3769, 28605: 10915, 28623: 13481, 28947: 13337, 29154: 1375, 29288: 1080, 29402: 18162, 29485: 23778, 29877: 11877, 29936: 10058}\n" - ] - } - ], - "source": [ - "from scipy.spatial import distance\n", - "\n", - "# Por camada\n", - "\n", - "max_dist = 1000\n", - "seed = 0\n", - "total = len(matrix)\n", - "visited = []\n", - "visited.append(seed)\n", - "temp = {}\n", - "counter = 0\n", - "print('total ', total)\n", - "print('processing...')\n", - "shortest_point = {}\n", - "all_distances = []\n", - "for i in range(0, total):\n", - " \n", - " point = np.reshape(matrix[i], (1, 3))\n", - " matrix = np.delete(matrix, i, axis=0)\n", - " distances = distance.cdist(matrix, point, 'euclidean') \n", - " min_dist = np.min(distances)\n", - " idx = np.argmin(distances)\n", - " matrix = np.insert(matrix, i, point[0], axis=0) \n", - " all_distances.append([np.mean(distances), np.min(distances), np.max(distances)])\n", - " \n", - " if min_dist <= max_dist:\n", - " max_dist = min_dist\n", - " shortest_point[i] = idx #matrix[idx].tolist()\n", - "\n", - "for key, value in shortest_point.items():\n", - " e1 = matrix[key].tolist()\n", - " e2 = matrix[value].tolist()\n", - " print(' e1:%s e2:%s dist=%s' % (key, value, calculate_distances_vec(e1,e2)))\n", - " #print(item)\n", - "print(min_dist)\n", - "print(shortest_point)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# imprimimos a media, minima e maxima distancia\n", - "sorted(all_distances)\n", - "#print(len(all_distances))\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# quaeis sao os hits de menor distancia?\n", - "for key, value in shortest_point.items():\n", - " e1 = matrix[key].tolist()\n", - " e2 = matrix[value].tolist()\n", - " print(' e1:%s \\n e2:%s' % (e1, e2))\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Encontramos os Clusteres de acordo as distancias anteriores ##" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "# selecionamos que data set\n", - "#dataset = StandardScaler().fit_transform(layer_5_)\n", - "#dataset = pd.DataFrame(dataset, columns=['x','y', 'z'])\n", - "\n", - "layer_5.columns = ['x','y', 'z']\n", - "dataset = layer_5" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.neighbors import NearestNeighbors\n", - "neigh = NearestNeighbors(n_neighbors=len(dataset)).fit(dataset)\n", - "#distances, indices = neigh.kneighbors(dataset)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "distances, indices = neigh.kneighbors(dataset)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(30000, 30000)" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "distances.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Mean distance : 353.65011003561176\n", - "Max distance : 659.3276284099492\n", - "Min distance : 0.0\n" - ] - } - ], - "source": [ - "\n", - "print('Mean distance :',distances.mean())\n", - "print('Max distance :', distances.max())\n", - "print('Min distance :', distances.min())\n", - "# para intermediaria\n", - "#147.36\n", - "# 2.17 normalizado\n", - "\n", - "# layer 7 , external\n", - "#Mean distance : 680.5504441040257\n", - "#Max distance : 1149.1804722893107\n", - "#Min distance : 0.0" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[4.48078899 1.95755312 2.68333706 ... 1.81346993 1.34167231 3.60799984]\n", - "[ 4254 28963 14426 ... 25391 24184 16733]\n" - ] - } - ], - "source": [ - "from sklearn.neighbors import KDTree\n", - "\n", - "tree = KDTree(dataset)\n", - "nearest_dist, nearest_ind = tree.query(dataset, k=8) # k=2 nearest neighbors where k1 = identity\n", - "print(nearest_dist[:, 1]) # drop id; assumes sorted -> see args!\n", - "print(nearest_ind[:, 1]) # drop id \n" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[ 0. , 6.33733105, 9.35229698, 10.39274061, 11.4571207 ],\n", - " [ 0. , 3.56783248, 3.64328352, 4.81348606, 4.89505336],\n", - " [ 0. , 1.69707092, 9.73241963, 10.79998779, 11.84053506],\n", - " ...,\n", - " [ 0. , 2.95263407, 6.3545809 , 7.13609826, 7.83298572],\n", - " [ 0. , 6.00172112, 6.79179441, 14.7454946 , 14.75990627],\n", - " [ 0. , 1.6420094 , 1.75923757, 6.00022883, 7.01855371]])" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "nearest_dist\n" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "DBSCAN(algorithm='auto', eps=11.63, leaf_size=30, metric='euclidean',\n", - " metric_params=None, min_samples=4, n_jobs=None, p=None)" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from sklearn.cluster import DBSCAN\n", - "\n", - "#model = DBSCAN(algorithm='auto', eps=0.15, min_samples=5) --layer 5\n", - "model = DBSCAN(algorithm='auto', eps=11.63, min_samples=4)\n", - "model.fit(dataset)\n", - "#model.fit(layer_5_)\n", - "model" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0 0 0 ... 0 0 0]\n", - "{0, -1}\n" - ] - } - ], - "source": [ - "labels = model.labels_\n", - "print(labels)\n", - "print(set(labels))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "7" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# pontos ruido -1\n", - "noise = list(labels).count(-1)\n", - "noise" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "2" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(pd.DataFrame(labels, columns=['label']).label.value_counts())" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# numero de clusteres\n", - "n_clusters = len(set(labels)) - (1 if -1 in labels else 0)\n", - "n_clusters" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "30000\n" - ] - } - ], - "source": [ - "cores = np.zeros_like(labels, dtype=bool)\n", - "cores\n", - "print(len(cores))" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 0, 1, 2, ..., 29997, 29998, 29999])" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.core_sample_indices_\n" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [], - "source": [ - "cores[model.core_sample_indices_] = True\n" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{-1, 0}" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "set(labels)" - ] - }, - { - "cell_type": "raw", - "metadata": {}, - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "import warnings\n", - "warnings.filterwarnings('ignore')\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plotamos todas as camadas en 2D\n", - "fig, ax = plt.subplots(figsize=(10,8))\n", - "ax.scatter(sensor.x, sensor.y, s=3)\n", - "ax.set_xlabel('X')\n", - "ax.set_ylabel('Y')\n", - "#plt.title('Detector layers(5000 tracks ~ 49900 hits)')\n", - "plt.title('Detector layers')\n", - "plt.savefig('detector_all_layer.pdf')\n", - "fig.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(0.6196078431372549, 0.00392156862745098, 0.25882352941176473, 1.0),\n", - " (0.3686274509803922, 0.30980392156862746, 0.6352941176470588, 1.0)]" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "unique_labels = set(labels)\n", - "colors = [plt.cm.Spectral(each) for each in np.linspace(0, 1, len(unique_labels))]\n", - "\n", - "colors" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plotamos so uma camada\n", - "fig, ax = plt.subplots(figsize=(14,12))\n", - "ax.scatter(dataset.x, dataset.y,marker='o', c=labels)\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plotamos so uma camada\n", - "fig, ax = plt.subplots(figsize=(10,9))\n", - "ax.scatter(layer_5.x, layer_5.y, c=cores)\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Plotamos os cluster de acordo a configurção\n", - "X = layer_5\n", - "unique_labels = set(labels)\n", - "colors = [plt.cm.Spectral(each)\n", - " for each in np.linspace(0, 1, len(unique_labels))]\n", - "\n", - "fig, ax = plt.subplots(figsize=(14,12))\n", - "\n", - "for k, col in zip(unique_labels, colors):\n", - " if k == -1:\n", - " # Black used for noise.\n", - " col = [0, 0, 0, 1]\n", - "\n", - " # all classes\n", - " class_member_mask = (labels == k)\n", - "\n", - " xy = X[class_member_mask & cores]\n", - " plt.plot(xy.iloc[:, 0], xy.iloc[:, 1], 'o', markerfacecolor=tuple(col), markeredgecolor='k',\n", - " markersize=8)\n", - "\n", - " xy = X[class_member_mask & ~cores]\n", - " plt.plot(xy.iloc[:, 0], xy.iloc[:, 1], 'o', markerfacecolor=tuple(col), markeredgecolor='k',\n", - " markersize=5)\n", - "\n", - "plt.title('Estimated number of clusters: %d' % n_clusters)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import plotly.express as px\n", - "import plotly.graph_objects as go\n", - "import numpy as np\n", - "\n", - "# plotamos todas as camadas em 3d \n", - "fig = go.Figure(data=[go.Scatter3d(x=sensor.x,\n", - " y=sensor.y,\n", - " z=sensor.z,\n", - " mode='markers',\n", - " marker=dict(\n", - " size=2.5,\n", - " #color=labels, # set color to an array/list of desired values\n", - " colorscale='Jet', # choose a colorscale\n", - " opacity=0.8\n", - " )\n", - " )])\n", - "\n", - "\n", - "#fig.show()\n", - "fig.write_html('sensor_labels.html', auto_open=True) " - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{-1, 0, 1}" - ] - }, - "execution_count": 62, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#res = (==5)\n", - "#print(len(res))\n", - "#print(len(labels))\n", - "unique_labels\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0\n", - "rgbrgbrgbrgbrgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588)\n", - "1\n", - "rgbrgbrgbrgbrgbrgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588)\n", - "2\n", - "rgbrgbrgbrgbrgbrgbrgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588)\n" - ] - }, - { - "ename": "TypeError", - "evalue": "unsupported operand type(s) for /: 'set' and 'int'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcolors\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0mcolors\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSpectral\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0munique_labels\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mn_clusters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 9\u001b[0m \u001b[0mcolors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0;31m#print(colors)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mTypeError\u001b[0m: unsupported operand type(s) for /: 'set' and 'int'" - ] - } - ], - "source": [ - "#for each in np.linspace(0, 1, len(unique_labels)):\n", - "for each in range(0, len(unique_labels)):\n", - " print(each)\n", - " #colors = matplotlib.colors.colorConverter.to_rgb(plt.cm.Spectral(each))\n", - " colors = 'rgb'+str(colors)\n", - " print(colors)\n", - "\n", - "colors = plt.cm.Spectral(unique_labels / n_clusters)\n", - "colors\n", - "#print(colors)" - ] - }, - { - "cell_type": "code", - "execution_count": 91, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rgb(0.998077662437524, 0.9992310649750096, 0.7460207612456747, 1.0)\n", - "rgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588, 1.0)\n", - "rgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588, 1.0)\n", - "rgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588, 1.0)\n", - "rgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588, 1.0)\n", - "rgb(0.3686274509803922, 0.30980392156862746, 0.6352941176470588, 1.0)\n" - ] - } - ], - "source": [ - "# graficamos so por camada\n", - "import matplotlib.pyplot as plt\n", - "colors =[]\n", - "\n", - "#matplotlib.colors.colorConverter.to_rgb()\n", - "for color in np.linspace(1, 255, len(unique_labels)):\n", - "#for each in len(unique_labels):\n", - " #colors = matplotlib.colors.colorConverter.to_rgb(plt.cm.Spectral(each))\n", - " #colors = matplotlib.colors.colorConverter.to_rgb(plt.cm.Spectral(each/n_clusters))\n", - " #print(each)\n", - " #colors = matplotlib.colors.colorConverter.to_rgb(each, alpha=0.5)\n", - " #colors = matplotlib.colors.ColorConverter().to_rgba(50.0)\n", - " colors = plt.cm.Spectral(color/n_clusters)\n", - " colors = 'rgb'+str(colors)\n", - " print(colors)\n", - " cmap = matplotlib.cm.get_cmap('Spectral')\n", - " colors = 'rgb' + str(cmap(color))\n", - " print(colors)" - ] - }, - { - "cell_type": "code", - "execution_count": 84, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rgb(0.19946174548250672, 0.5289504036908881, 0.7391003460207612, 1.0)\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 84, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# return colors entre\n", - "#np.linspace(1, 255, len(unique_labels))\n", - "#plt.cm.Spectral(50)\n", - "cmap = matplotlib.cm.get_cmap('Spectral')\n", - "#color = 'rgb' + str(cmap(norm(values_dict[i]))[0:3])\n", - "color = 'rgb' + str(cmap(230))\n", - "print(color)\n", - "norm = matplotlib.colors.Normalize()\n", - "norm" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 96, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rgb(200,100,200)\n", - "('r', 'g', 'b', '(', '2', '0', '0', ',', '1', '0', '0', ',', '2', '0', '0', ')')\n", - 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\n", - " \n", - " \n", - "
\n", - " \n", - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - " \n", - "X = layer_5_\n", - "\n", - "unique_labels = set(labels)\n", - "\n", - "\n", - "clusters = []\n", - "colors = ['rgb(200,100,200)', 'rgb(20,10,20)', 'rgb(40,50,250)']\n", - "\n", - "for k, col in zip(unique_labels, colors):\n", - " print(col)\n", - " print(tuple(col))\n", - " if k == -1:\n", - " # Black used for noise.\n", - " #col = [0, 0, 0, 1]\n", - " col = [1.0, 'rgb(0,0,255)']\n", - "\n", - " # all classes\n", - " class_member_mask = (labels == k)\n", - "\n", - " xy = X[class_member_mask & cores]\n", - " \n", - " cluster = go.Scatter3d(x=xy.iloc[:, 0],\n", - " y=xy.iloc[:, 1],\n", - " z=xy.iloc[:, 2],\n", - " mode='markers',\n", - " marker=dict(\n", - " size=3,\n", - " color=col, # set color to an array/list of desired values\n", - " #olorscale=col, # choose a colorscale\n", - " opacity=0.8 \n", - " )\n", - " )\n", - " \n", - " clusters.append(cluster)\n", - "\n", - " xy = X[class_member_mask & ~cores]\n", - "\n", - " cluster = go.Scatter3d(x=xy.iloc[:, 0],\n", - " y=xy.iloc[:, 1],\n", - " z=xy.iloc[:, 2],\n", - " mode='markers',\n", - " marker=dict(\n", - " size=2,\n", - " color=col, # set color to an array/list of desired values\n", - " #colorscale=tuple(col), # choose a colorscale\n", - " opacity=1 \n", - " )\n", - " )\n", - " clusters.append(cluster)\n", - " \n", - "fig = go.Figure(data = clusters)\n", - "\n", - "fig.write_html('sensor_labels.html', auto_open=False)\n", - "fig.show()\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "fig = go.Figure(data=[go.Scatter3d(x=layer_5_.x,\n", - " y=layer_5_.y,\n", - " z=layer_5_.z,\n", - " mode='markers',\n", - " marker=dict(\n", - " size=2,\n", - " color=cores,\n", - " # set color to an array/list of desired values\n", - " #color='smoker', # choose a colorscale\n", - " colorscale='Jet',\n", - " #showscale=True,\n", - " #opacity=0.8\n", - " #colorscale = [\n", - " # [0., 'rgba(0,0,0, 1)'],\n", - " # [1., 'rgba(255, 225, 255, 1)']] \n", - " )\n", - " )])\n", - "\n", - "\n", - "#fig.show()\n", - "#fig.write_html('layer_labels.html', auto_open=True) \n", - "fig.write_html('layer_cores.html', auto_open=True) " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "unique_labels = set(labels)\n", - "colors = [plt.cm.Spectral(each)for each in np.linspace(0, 1, len(unique_labels))]\n", - "\n", - "fig = go.Figure(data=[go.Scatter3d(x=layer_5_.x,\n", - " y=layer_5_.y,\n", - " z=layer_5_.z,\n", - " mode='markers',\n", - " marker=dict(\n", - " size=2,\n", - " color=labels,\n", - " colorscale='Jet',\n", - " \n", - " )\n", - " )])\n", - "\n", - "\n", - "#fig.show()\n", - "#fig.write_html('layer_labels.html', auto_open=True) \n", - "fig.write_html('layer_labels.html', auto_open=True) " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig, ax = plt.subplots(figsize=(24,18))\n", - "ax.scatter(layer_5.x, layer_5.y , c=sample_cores)\n", - "ax.set_xlabel('X')\n", - "ax.set_ylabel('Y')\n", - "plt.title('Outlier Detection')\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig, ax = plt.subplots(figsize=(12,10))\n", - "ax.scatter(X_train.iloc[:,0], X_train.iloc[:,1], c=sample_cores )\n", - "ax.set_xlabel('X')\n", - "ax.set_ylabel('Y')\n", - "plt.title('Outlier Detection')\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/main_test_nearest-dev.ipynb b/notebooks/main_test_nearest-dev.ipynb deleted file mode 100644 index 137459d..0000000 --- a/notebooks/main_test_nearest-dev.ipynb +++ /dev/null @@ -1,1332 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "import sys\n", - "import os\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# include path to our library\n", - "cwd = os.getcwd()\n", - "dir_path = os.path.dirname(os.path.realpath(cwd))\n", - "sys.path.append(dir_path)\n", - "time.sleep(2)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "/home/sataucuri/merged_git/track-ml\n", - "compiled\t logs\t\t README.md\r\n", - "config_cnn.json main_inference.py\t results\r\n", - "config_default.json main_mlp.py\t run_tests.sh\r\n", - "config_lstm.json main_train.py\t run_trains.sh\r\n", - "config_rnn.json notebooks\t\t script_ency_dataset.py\r\n", - "core\t\t old\t\t script_generate_dist.py\r\n", - "dataset\t\t output\t\t sensor_labels.html\r\n", - "env.yml\t\t prediction-img.png tmp\r\n" - ] - } - ], - "source": [ - "dir_path\n", - "%cd $dir_path\n", - "!ls" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Using TensorFlow backend.\n" - ] - } - ], - "source": [ - "import argparse\n", - "import json\n", - "\n", - "from sklearn.model_selection import train_test_split\n", - "import tensorflow as tf\n", - "from tensorflow import set_random_seed\n", - "\n", - "import keras.backend as K\n", - "from keras.backend.tensorflow_backend import set_session\n", - "\n", - "from core.data.data_loader import *\n", - "from core.models.lstm import ModelLSTM, ModelLSTMParalel, ModelLSTMCuDnnParalel\n", - "from core.models.cnn import ModelCNN\n", - "from core.models.mlp import ModelMLP\n", - "from core.models.base import BagOfHits\n", - "\n", - "from core.utils.metrics import *\n", - "from core.utils.utils import *\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## loading Configurartion ##\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "OK reading of json file\n" - ] - } - ], - "source": [ - "# load some configurations configurations of model and others\n", - "configs = json.load(open('config_lstm.json', 'r'))\n", - "output_path = configs['paths']['save_dir']\n", - "output_logs = configs['paths']['log_dir']\n", - "\n", - "data_file = configs['data']['filename']\n", - "\n", - "#create a encryp name for dataset\n", - "path_to, filename = os.path.split(data_file)\n", - "\n", - "orig_ds_name = filename\n", - "\n", - "encryp_ds_name = get_unique_name(orig_ds_name)\n", - "decryp_ds_name = get_decryp_name(encryp_ds_name)\n", - "\n", - "output_encry = os.path.join(output_path, encryp_ds_name) \n", - " \n", - "if os.path.isdir(output_path) == False:\n", - " os.mkdir(output_path)\n", - "\n", - "if os.path.isdir(output_encry) == False: \n", - " os.mkdir(output_encry)\n", - " \n", - "if os.path.isdir(output_logs) == False:\n", - " os.mkdir(output_logs) \n", - "\n", - "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", - "num_features = configs['model']['layers'][0]['input_features'] # the number of features of each hits\n", - "split_data = configs['data']['train_split'] # the number of features of each hits\n", - "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", - "#cylindrical = False\n", - "normalise = configs['data']['normalise'] \n", - "num_hits = configs['data']['num_hits']\n", - "type_pred = configs['testing']['type_prediction']\n", - "tolerance = configs['testing']['tolerance']\n", - "\n", - "print('OK reading of json file')\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Setup Data ##" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "/data/track-ml/eramia/dataset/eta_n0.5-0.5_phi_ninf-pinf.csv\n", - "results/LZJ8XYW40nsPaCg9dgZPsn\n" - ] - } - ], - "source": [ - "# reading path of data\n", - "path = configs['data']['filename']\n", - "print(path)\n", - "print(output_encry)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "data = Dataset(path, split_data, cylindrical, num_hits, KindNormalization.Zscore)\n", - "# divimos \n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "data.data_train.iloc[0:12, 0:18]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "X_train, y_train = data.get_training_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=True)\n", - "#dataset = dataset.iloc[0:2640,0:]/ b\n", - "#dataset = dataset.iloc[0:31600,0:]\n", - "print(X_train.shape)\n", - "print(y_train.shape)\n", - "X_train.head(12)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "y_train.head(12)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def manage_models(config):\n", - " \n", - " type_model = config['model']['name']\n", - " model = None\n", - "\n", - " if type_model == 'lstm': #simple LSTM\n", - " model = ModelLSTM(config)\n", - " elif type_model == 'lstm-paralel':\n", - " model = ModelLSTMParalel(config)\n", - " elif type_model == 'cnn':\n", - " model = ModelCNN(config)\n", - " elif type_model == 'mlp':\n", - " model = ModelMLP(config) \n", - "\n", - " return model\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create Model ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "# geramos o modelo\n", - "#configs = json.load(open('config_test.json', 'r'))\n", - "model = manage_models(configs)\n", - "\n", - "if model is None:\n", - " print('Please instance model')\n", - "\n", - "loadModel = configs['training']['load_model']\n", - "loadModel = True" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create Model ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from core.utils.metrics import *\n", - "\n", - "# in-memory training\n", - "if loadModel == False:\n", - " model.build_model()\n", - " # in-memory training\n", - " history = model.train(\n", - " x=X_train,\n", - " y=y_train,\n", - " epochs = configs['training']['epochs'],\n", - " batch_size = configs['training']['batch_size']\n", - " )\n", - "\n", - " evaluate_training(history, output_path)\n", - "\n", - "elif loadModel == True: \n", - " if not model.load_model():\n", - " print ('[Error] please change the config file : load_model')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Normal Prediction and Nearest ##\n", - "We concatenate features to predict one hit." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Prediction\n", - "import numpy as np\n", - "from core.utils.metrics import *\n", - "from core.utils.utils import *" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# not normalized \n", - "x_scaler, y_scaler = data.load_scale_param(output_encry)\n", - "\n", - "normalise_testing = configs['testing']['normalise']\n", - "\n", - "X_test, y_test = data.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=normalise_testing,\n", - " xscaler=x_scaler, yscaler=y_scaler)\n", - "\n", - "#X_test, y_test = data.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", - "# n_features=num_features, normalise=False,\n", - "# xscaler=None, yscaler=None)\n", - "\n", - "\n", - "#X_test = X_test.iloc[0:1000,]\n", - "#y_test = y_test[0:1000]\n", - "\n", - "#orig\n", - "#data.data_test.head(12)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "print(X_test.shape)\n", - "print(y_test.shape)\n", - "X_test.head(6)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "y_test.head()\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Normal Prediction ###" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def predict_full_sequences(x_test, data, num_hits=6, normalise=False):\n", - " '''\n", - " x_test: input data\n", - " normalise: say input data must be scaled \n", - " '''\n", - " timer = Timer()\n", - " timer.start() \n", - " print('[Model] Predicting Sequences Started')\n", - "\n", - " total = len(x_test)\n", - "\n", - " correct = 0\n", - " incorrect = 0\n", - " pred_sequences = []\n", - "\n", - " for j in range(total): \n", - " curr_frame = x_test[j]\n", - " predicted = []\n", - " for i in range(num_hits):\n", - " if normalise:\n", - " curr_frame = data.x_scaler.transform(np.reshape(curr_frame,(1,12)))\n", - " curr_frame_orig = data.inverse_transform_x(pd.DataFrame(curr_frame).values.flatten())\n", - " curr_frame_orig = np.reshape(curr_frame_orig, (4,3))\n", - " curr_frame = np.reshape(curr_frame, (4,3))\n", - " else:\n", - " curr_frame = curr_frame\n", - " curr_frame_orig = curr_frame\n", - " \n", - " pred = model.model.predict(curr_frame[np.newaxis,:,:]) \n", - " \n", - " pred = np.reshape(pred, (1, 3))\n", - " if normalise:\n", - " pred = data.inverse_transform_y(pred)\n", - " else:\n", - " pred = pred\n", - " \n", - " pred = np.reshape(pred, (1, 3))\n", - " \n", - " predicted.append(pred)\n", - " curr_frame = curr_frame_orig[1:]\n", - " # inserta um valor np.insert(array, index, value, axes)\n", - " curr_frame = np.insert(curr_frame, [3], predicted[-1], axis=0)\n", - " #print(curr_frame, predicted[-1])\n", - "\n", - " pred_sequences.append(predicted)\n", - "\n", - " print('[Model] Prediction Finished.')\n", - " timer.stop()\n", - "\n", - " return pred_sequences" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# normalise = True say the input must be normalised\n", - "pred_full = predict_full_sequences(X_test_, data, num_hits=6, normalise=True)\n", - "print('finished prediction ...')\n", - "\n", - "predicted = convert_vector_to_matrix(pred_full, 3, 6)\n", - "predicted = to_frame(predicted)\n", - "predicted.head()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "# original data y_true\n", - "y_test.head()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Adding Nearest ###" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#bag_of_hits = None\n", - "from enum import Enum\n", - "\n", - "def predict_full_sequences_nearest1(x_test, y_test, num_hits=6, num_features=3, normalise=False):\n", - " \n", - " timer = Timer()\n", - " timer.start() \n", - "\n", - " print('[Model] Predicting Sequences with Nearest Started')\n", - "\n", - " total = len(x_test)\n", - "\n", - " pred_sequences = []\n", - "\n", - " decimals = 2\n", - " y_true = None\n", - " \n", - " #if normalise:\n", - " # covert to original values\n", - " y_true = data.inverse_transform_test_y(y_test)\n", - " \n", - " #y_true = y_true.round(decimals)\n", - " \n", - " #x_test must be in scaled form\n", - "\n", - " global bag_of_hits \n", - " bag_of_hits = np.array(convert_matrix_to_vec(y_true, num_features))\n", - "\n", - " y_true = np.array(y_true)\n", - " count_correct = np.zeros(num_hits)\n", - "\n", - " for j in range(total):\n", - " curr_frame = x_test[j]\n", - " curr_track = y_true[j]\n", - " \n", - " predicted = []\n", - " begin = 0\n", - " #print('track :', curr_track)\n", - " for i in range(num_hits):\n", - " end = begin+num_features\n", - " curr_hit_orig = curr_track[begin:end]\n", - " begin = end\n", - " \n", - " #print('curr_frame:\\n', curr_frame)\n", - " # input must be scaled curr_frame\n", - " y_pred = model.model.predict(curr_frame[np.newaxis,:,:])\n", - "\n", - " #print('pred:', y_pred)\n", - " y_pred = np.reshape(y_pred, (1, 3))\n", - " y_pred_orig = data.inverse_transform_y(y_pred)\n", - " #y_pred_orig = np.round(y_pred_orig, decimals)\n", - " #print('pred:', y_pred)\n", - " \n", - " print('BoH: %s, %s'%(len(bag_of_hits), bag_of_hits))\n", - "\n", - " near_pred_orig, idx = model.nearest_hit(y_pred_orig, bag_of_hits, silent=True)\n", - " \n", - " #print('inv pred:', y_pred_orig)\n", - " #print('nearest:', near_pred_orig)\n", - " #print('current:', curr_hit_orig)\n", - "\n", - " d1 = calculate_distances_vec(curr_hit_orig, y_pred_orig[0])\n", - " d2 = calculate_distances_vec(curr_hit_orig, near_pred_orig)\n", - " \n", - " #print('dist pred: %s dist near : %s ' % (d1, d2))\n", - " \n", - " #bag_of_hits = np.delete(bag_of_hits, idx, 0)\n", - " \n", - " #if np.logical_and(curr_hit, near_pred).all():\n", - " #if np.array_equal(curr_hit, near_pred):\n", - " \n", - " if d1 <= d2:\n", - " # original coordinates\n", - " if np.isclose(curr_hit_orig, y_pred_orig, atol=0.09).all(): \n", - " count_correct[i]=+1\n", - " \n", - " predicted.append(y_pred)\n", - " else:\n", - " # original coordinates\n", - " if np.isclose(curr_hit_orig, near_pred_orig, atol=0.09).all(): \n", - " count_correct[i]=+1\n", - " \n", - " near_pred = data.y_scaler.transform(np.reshape(near_pred_orig, (1, 3)))\n", - " #print('current inv:', near_pred)\n", - " predicted.append(near_pred)\n", - " \n", - " curr_frame = curr_frame[1:]\n", - " # inserta um valor np.insert(array, index, value, axes)\n", - " curr_frame = np.insert(curr_frame, [3], predicted[-1], axis=0)\n", - " \n", - " pred_sequences.append(predicted)\n", - " if j == 2: break\n", - " print('[Model] Prediction Finished.')\n", - " timer.stop()\n", - "\n", - " return pred_sequences, count_correct\n", - "\n", - "def nearest_hit(hit, hits,\n", - " silent = True,\n", - " metric = 'euclidean'):\n", - "\n", - " if silent is False:\n", - " timer = Timer()\n", - " timer.start()\n", - "\n", - " dist = distance.cdist(hits, hit, metric)\n", - "\n", - " # get the index of minimum distance\n", - " target_hit_index = np.argmin(dist)\n", - "\n", - " if silent is False: \n", - " print(\"--- N_hits: %s\" % len(hits))\n", - " print(\"--- Hit index: %s\" % target_hit_index)\n", - " print(\"--- \" + str(metric) + \" distance: \" + str(dist[target_hit_index]))\n", - " print(\"--- time: %s seconds\" % timer.stop())\n", - "\n", - " # get hits coordinates \n", - " real_hit = hits[target_hit_index, :]\n", - " real_hit = np.array(real_hit)\n", - "\n", - " # removing the hit from bag\n", - " #hits = np.delete(hits, target_hit_index, 0)\n", - "\n", - " if dist_hit is False:\n", - " return real_hit, target_hit_index\n", - " else:\n", - " return real_hit, target_hit_index, np.min(dist)\n", - "\n", - "def mat_rhoetaphi_to_xyz(mat, n_hits = 5):\n", - " pivot_tmp = 0\n", - " for i in range(n_hits):\n", - " pivot_tmp = i * 3\n", - " rho = mat[pivot_tmp + 0]\n", - " eta = mat[pivot_tmp + 1]\n", - " phi = mat[pivot_tmp + 2]\n", - " if (rho != 0 and eta != 0 and phi != 0):\n", - " x, y, z = convert_rhoetaphi_to_xyz(rho, eta, phi)\n", - " mat[pivot_tmp + 0] = x\n", - " mat[pivot_tmp + 1] = y\n", - " mat[pivot_tmp + 2] = z\n", - " return mat\n", - "\n", - "class BagOfHits(Enum):\n", - " All=1,\n", - " Track=2,\n", - " Layer=3\n", - " \n", - "def predict_full_sequences_nearest2(x_test, y_test, bag_of_hits, y_test_aux=None, num_hits=6, num_features=3,\n", - " normalise=False, cylindrical=False, verbose=False, tol=0.01):\n", - " \n", - " '''\n", - " This function shift the window by 1 new prediction each time, re-run predictions on new window\n", - " parameters:\n", - " x_test : X test data normaly not scaled (4 hits)\n", - " y_test : y test data, normaly not scaled (6 hits)\n", - " num_hits : how many hits by y_test\n", - " normalise : it param says the input data must be scaled or not\n", - " \n", - " '''\n", - " \n", - " timer = Timer()\n", - " timer.start()\n", - "\n", - " print('[Model] Predicting Sequences with Nearest Started')\n", - "\n", - " total = len(x_test)\n", - "\n", - " pred_sequences = []\n", - " pred_sequences_orig = []\n", - " \n", - " decimals = 2\n", - " \n", - " # covert to original values\n", - " #y_true = data.inverse_transform_test_y(y_test)\n", - " #y_true = y_true.round(decimals)\n", - " \n", - " #change the dataset by cartesian coordinates\n", - " if cylindrical:\n", - " y_test = y_test_aux\n", - " else:\n", - " y_test = y_test\n", - " \n", - " # bag_of_hits \n", - " bag_of_hits_all = np.array(convert_matrix_to_vec(y_test, num_features))\n", - "\n", - " count_correct = np.zeros(num_hits)\n", - " begin_idx, end_idx = 0, 0\n", - " num_boh = 6\n", - " \n", - " for j in range(total):\n", - " curr_frame = x_test[j]\n", - " # bag_of_hit by track\n", - " curr_track = np.array(y_test.iloc[j,0:]).reshape(num_hits, num_features)\n", - " \n", - " if verbose:\n", - " print('curr_track %s , %s:' % (j , curr_track))\n", - "\n", - " predicted = []\n", - " predicted_orig = []\n", - " begin = 0\n", - " for i in range(num_hits):\n", - " # bag_of_hit by layer\n", - " end = begin+num_features\n", - " curr_layer = np.array(y_test.iloc[0:,begin:end]).reshape(total, num_features)\n", - " curr_hit = curr_track[i]\n", - " begin = end\n", - " \n", - " if verbose:\n", - " # primeira esta em originais\n", - " print('input:\\n', curr_frame)\n", - " \n", - " if normalise:\n", - " curr_frame = data.x_scaler.transform(np.reshape(curr_frame,(1,12)))\n", - " curr_frame_orig = data.inverse_transform_x(pd.DataFrame(curr_frame).values.flatten())\n", - " curr_frame_orig = np.reshape(curr_frame_orig, (4,3))\n", - " curr_frame = np.reshape(curr_frame, (4,3))\n", - " else:\n", - " curr_frame = curr_frame\n", - " curr_frame_orig = curr_frame\n", - " \n", - " if verbose:\n", - " print('input:\\n', curr_frame)\n", - " #print('input orig:\\n', curr_frame_orig)\n", - " \n", - " #print('input inv :\\n', curr_frame_inv.reshape(4,3))\n", - " #print('newaxis ', curr_frame[np.newaxis,:,:])\n", - " # input must be scaled curr_frame\n", - " y_pred = model.model.predict(curr_frame[np.newaxis,:,:])\n", - "\n", - " \n", - " y_pred = np.reshape(y_pred, (1, 3))\n", - " if normalise:\n", - " y_pred_orig = data.inverse_transform_y(y_pred)\n", - " else:\n", - " y_pred_orig = y_pred\n", - "\n", - " y_pred_orig = np.reshape(y_pred_orig, (1, 3))\n", - "\n", - " if bag_of_hits == BagOfHits.All:\n", - " hits = bag_of_hits_all\n", - " elif bag_of_hits == BagOfHits.Track:\n", - " hits = curr_track\n", - " elif bag_of_hits == BagOfHits.Layer: \n", - " hits = curr_layer\n", - " \n", - " if cylindrical:\n", - " rho, eta, phi = y_pred_orig[0][0], y_pred_orig[0][1], y_pred_orig[0][2]\n", - " #print(rho,eta,phi)\n", - " x, y, z = convert_rhoetaphi_to_xyz(rho, eta, phi)\n", - " #print(x,y,z)\n", - " y_pred_orig[0][0] = x\n", - " y_pred_orig[0][1] = y\n", - " y_pred_orig[0][2] = z\n", - " \n", - " #print(y_pred_orig)\n", - " \n", - " dist = distance.cdist(hits, y_pred_orig, 'euclidean')\n", - " idx = np.argmin(dist)\n", - " near_pred = hits[idx]\n", - "\n", - " # if curr_hit is in cartesian coord, near_pred must be in cartesian coord too\n", - " if np.isclose(curr_hit, near_pred, atol=tol).all():\n", - " count_correct[i]+=1\n", - " #print('count_correct[%s] = %s ' % (i, count_correct[i]))\n", - " \n", - " if verbose:\n", - " print('pred:', y_pred)\n", - " print('inv pred:', y_pred_orig)\n", - " print('current:', curr_hit)\n", - " print('nearest:', near_pred)\n", - " \n", - " if cylindrical:\n", - " x, y, z = near_pred[0], near_pred[1], near_pred[2]\n", - " #print(x,y,z)\n", - " rho, eta, phi = convert_xyz_to_rhoetaphi(x, y, z)\n", - " #print(rho,eta,phi)\n", - " near_pred[0] = rho\n", - " near_pred[1] = eta\n", - " near_pred[2] = phi\n", - " \n", - " #curr_track = np.delete(curr_track, idx, 0)\n", - " #near_pred_orig, idx = model.nearest_hit(y_pred_orig, bag_of_hits, silent=True)\n", - " \n", - " \n", - " \n", - " ''' \n", - " d1 = calculate_distances_vec(curr_hit, y_pred_orig[0])\n", - " d2 = calculate_distances_vec(curr_hit, near_pred)\n", - " #print('d1 %s, d2 %s' % (d1, d2))\n", - " \n", - " if d1 <= d2:\n", - " # original coordinates\n", - " if np.isclose(curr_hit, y_pred_orig, atol=0.09).all(): \n", - " count_correct[i]=+1\n", - " #print('d1') \n", - " predicted.append(y_pred)\n", - " predicted_orig.append(y_pred_orig)\n", - " else:\n", - " # original coordinates\n", - " if np.isclose(curr_hit, near_pred_orig, atol=0.09).all(): \n", - " count_correct[i]=+1\n", - " #print('d2') \n", - " near_pred_scaled = data.y_scaler.transform(np.reshape(near_pred, (1, 3)))\n", - " print('near scaled:', near_pred_scaled)\n", - " predicted.append(near_pred_scaled)\n", - " predicted_orig.append(near_pred)\n", - " '''\n", - " \n", - " '''\n", - " near_pred = np.reshape(near_pred, (1, 3))\n", - " if normalise:\n", - " near_pred = data.y_scaler.transform(near_pred)\n", - " else:\n", - " near_pred = near_pred\n", - " \n", - " if verbose:\n", - " print('near scaled:', near_pred)\n", - " ''' \n", - " \n", - " \n", - " \n", - " #near adiciona em valores originaeis\n", - " predicted.append(near_pred)\n", - " \n", - " #predicted_orig.append(near_pred_orig)\n", - " #print('-----\\n')\n", - " \n", - " curr_frame = curr_frame_orig[1:]\n", - " curr_frame = np.insert(curr_frame, [3], predicted[-1], axis=0)\n", - " \n", - " #curr_frame_new = data.x_scaler.transform(np.reshape(curr_frame_inv, (1, 12)))\n", - " #curr_frame_new_inv = data.inverse_transform_x(pd.DataFrame(curr_frame).values.flatten())\n", - " \n", - " #print('new frame ', curr_frame_new.reshape(4,3))\n", - " #print('new frame inv ', curr_frame_new_inv.reshape(4,3))\n", - " \n", - " pred_sequences.append(predicted)\n", - " #pred_sequences_orig.append(predicted_orig)\n", - " \n", - " if verbose:\n", - " if j == 3: break\n", - " \n", - " print('[Model] Prediction Finished.')\n", - " timer.stop()\n", - "\n", - " return pred_sequences, count_correct" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#X_test = X_test.iloc[0:1000,]\n", - "#y_test = y_test[0:1000]\n", - "X_test_ = data.reshape3d(X_test, time_steps, num_features)\n", - "y_test_ = data.reshape3d(y_test, 6, num_features)\n", - "\n", - "print(X_test_.shape)\n", - "print(y_test_.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# aux data\n", - "data_tmp = Dataset(path, split_data, False, num_hits, KindNormalization.Zscore)\n", - "X_test_aux, y_test_aux = data_tmp.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=False)\n", - "\n", - "#X_test_aux = X_test_aux.iloc[0:1000,]\n", - "#y_test_aux = y_test_aux[0:1000]\n", - "\n", - "seq_len = num_hits - time_steps\n", - "correct = [0]\n", - "y_pred = None\n", - "if cylindrical:\n", - " \n", - " if type_pred == \"normal\":\n", - " y_pred = model.predict_full_sequences(X_test_, data, num_hits=6, normalise=True)\n", - " elif type_pred == \"nearest\": \n", - " # get data in coord cartesian\n", - " data_tmp = Dataset(data_file, split_data, False, num_hits, KindNormalization.Zscore)\n", - "\n", - " X_test_aux, y_test_aux = data_tmp.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=False) \n", - " y_pred, correct = model.predict_full_sequences_nearest2(X_test_, y_test, data, BagOfHits.Layer, y_test_aux, seq_len, \n", - " normalise=True, cylindrical=cylindrical,\n", - " verbose=False)\n", - "\n", - "else:\n", - " if type_pred == \"normal\":\n", - " y_pred = model.predict_full_sequences(X_test_, data, num_hits=6, normalise=True)\n", - " elif type_pred == \"nearest\": \n", - " y_pred, correct = model.predict_full_sequences_nearest(X_test_, y_test, data, BagOfHits.Layer, None, seq_len, \n", - " normalise=True, cylindrical=False,\n", - " verbose=False, tol=tolerance)\n", - " else:\n", - " print('no algorithm defined to predict')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "predicted_nearest = convert_vector_to_matrix(y_pred, 3, 6)\n", - "predicted_nearest = to_frame(predicted_nearest)\n", - "predicted_nearest.head()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "# vetor de contagens\n", - "total = X_test.shape[0]\n", - "print(correct)\n", - "#taxa_acertos = [(correct*100)/total for x in range(0, len(correct))]\n", - "print((correct*100)/total)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from matplotlib import pyplot as plt\n", - "#plt.bar(range(1,6), correct)\n", - "layers = ['layer 5', 'layer 6','layer 7','layer 8','layer 9','layer 10']\n", - "\n", - "#plt.bar(np.arange(1, 6, 1), correct)\n", - "plt.bar(layers, correct)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "y_test.head()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "'''\n", - "current_track = np.array([[236.97, -107.74, -3.],\n", - " [332.56, -140.7, -6.6],\n", - " [468.9, -177.86, -10.2],\n", - " [630.02, -208.33, -15.],\n", - " [791.81, -224.49, -16.2],\n", - " [997.68,-224.02, -27.]])\n", - "'''\n", - "\n", - "tracks = np.array([\n", - " [ 332.56201172, -140.69500732, -6.5999999 ],\n", - " [ 468.89599609, -177.86099243, -10.19999981],\n", - " [ 630.02398682, -208.33099365, -15. ],\n", - " [ 791.80603027, -224.48699951, -16.20000076],\n", - " [ 997.67901611, -224.02400208, -27. ]])\n", - "\n", - "current = [[236.97200012, -107.73600006, -3. ]]\n", - "pred = [[239.28717, -102.406906, -5.2484846]]\n", - "pred = [[ 245.10965, -117.84069, -6.3022523]]\n", - "n = model.nearest_hit(pred, tracks, silent=False)\n", - "n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "near = np.array([[332.56, -140.7, -6.6 ]])\n", - "scaled = data.y_scaler.transform(near)\n", - "print(scaled)\n", - "orig = data.inverse_transform_y(scaled)\n", - "print(orig)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Metrics for Normal Prediction ###" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "# metricas geraeis\n", - "_,_,_,_,result = calc_score(data.reshape2d(y_test, 1),\n", - " data.reshape2d(predicted, 1), report=True)\n", - "print(result)\n", - "\n", - "calc_score_layer(y_test, predicted, n_features=3)\n", - "\n", - "mses, rmses, r2s = calc_score_layer_axes(y_test, predicted)\n", - "summarize_scores_axes(mses, rmses, r2s)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Metrics for Nearest Prediction ###" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# metricas para nearest\n", - "_,_,_,_,result = calc_score(data.reshape2d(y_test, 1),\n", - " data.reshape2d(predicted_nearest, 1), report=True)\n", - "print(result)\n", - "\n", - "calc_score_layer(y_test, predicted_nearest, n_features=3)\n", - "\n", - "mses, rmses, r2s = calc_score_layer_axes(y_test, predicted_nearest)\n", - "summarize_scores_axes(mses, rmses, r2s)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Convert to Millimeters ###" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def inverse_transform_mat(scaler, data, n_features=3):\n", - " '''\n", - " Covert a matrix to scaled values by colum hit \n", - " '''\n", - " rows = data.shape[0]\n", - " cols = data.shape[1]\n", - " \n", - " begin = 0\n", - " for i in range(0, cols, n_features):\n", - " end = i + n_features\n", - " hit_col = data.iloc[0:,begin:end]\n", - " begin = end\n", - " scaled = scaler.transform(hit_col)\n", - " print(scaled)\n", - "\n", - "inverse_transform_mat(data.y_scaler, predicted_nearest)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "normalise = False \n", - "if normalise:\n", - " print('[Data] Inverse Transforming ...')\n", - " y_test_orig = data.inverse_transform_test_y(y_test)\n", - " y_predicted_orig = data.inverse_transform_test_y(predicted)\n", - " y_predicted_orig_nearest = data.inverse_transform_y(predicted_nearest)\n", - " \n", - " y_test_orig = pd.DataFrame(y_test_orig) \n", - " y_predicted_orig = pd.DataFrame(y_predicted_orig) \n", - "else:\n", - " y_test_orig = y_test\n", - " y_predicted_orig = predicted\n", - " \n", - " y_predicted_orig_nearest = predicted_nearest\n", - " y_predicted_orig_nearest = pd.DataFrame(y_predicted_orig_nearest)\n", - "\n", - "print('[Data] shape y_predicted_orig ', y_predicted_orig.shape) \n", - "print('[Data] shape y_test_orig ', y_test_orig.shape)\n", - "\n", - "result = calc_score(data.reshape2d(y_test_orig, 1),\n", - " data.reshape2d(y_predicted_orig_nearest, 1), report=False)\n", - "print(result)\n", - "r2, rmse, rmses = evaluate_forecast_seq(y_test_orig, y_predicted_orig_nearest)\n", - "summarize_scores(r2, rmse, rmses)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Prepare data for Visualization ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x_true, y_true = data.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=False)\n", - "x_true = x_true.iloc[0:1000,]\n", - "y_true = y_true[0:1000]\n", - "\n", - "#x_true = X_test\n", - "#y_true = y_test\n", - "print(x_true.shape)\n", - "print(y_true.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# join both dataset must be equal to X_test\n", - "data_true = np.concatenate([x_true , y_true], axis = 1)\n", - "data_true = pd.DataFrame(data_true)\n", - "data_true.columns.name = 'real' \n", - "\n", - "print('Shape ', data_true.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# must be equal\n", - "#data_test.values == X_test_new.values\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# join both dataset should be equal to X_test but not equal\n", - "data_pred = np.concatenate([x_true , y_predicted_orig], axis = 1 )\n", - "data_pred = pd.DataFrame(data_pred)\n", - "data_pred.columns.name = 'predito'\n", - "\n", - "print('Shape ', data_pred.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# join both dataset should be equal to X_test but not equal\n", - "data_pred_nearest = np.concatenate([x_true , y_predicted_orig_nearest], axis = 1 )\n", - "data_pred_nearest = pd.DataFrame(data_pred_nearest)\n", - "\n", - "data_pred_nearest.columns.name = 'nearest'\n", - "\n", - "print('Shape ', data_pred_nearest.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# should not be equal\n", - "#data_pred.values == X_test_new.values" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "if cylindrical:\n", - "\n", - " y_test_orig.to_csv(os.path.join(output_path, 'y_true_%s_cylin_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " y_predicted_orig.to_csv(os.path.join(output_path, 'y_pred_%s_cylin_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " x_true.to_csv(os.path.join(output_path, 'x_true_%s_cylin_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "else:\n", - " \n", - " y_test_orig.to_csv(os.path.join(output_path, 'y_true_%s_xyz_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - " y_predicted_orig.to_csv(os.path.join(output_path, 'y_pred_%s_xyz_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " x_true.to_csv(os.path.join(output_path, 'x_true_%s_xyz_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - "print('[Output] Results saved at %', output_path)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Visualization ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Dados originais\n", - "N_tracks = 50\n", - "path_html = ''\n", - "name = configs['model']['name']\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-original-%s_cylin_nearest.html' % name)\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-original-%s_xyz_nearest.html' % name)\n", - " \n", - "fig = track_plot_xyz([data_true], n_hits = 10, cylindrical = cylindrical, n_tracks = 50, \n", - " path=path_html, title='Track Original #10 Hit - Model %s' % name.upper())\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# predicted data\n", - "N_tracks = 8\n", - "path_html = ''\n", - "name = configs['model']['name']\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_cylin_normal-pred.html' % name)\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_xyz_normal-pred.html' % name)\n", - " \n", - "fig = track_plot_xyz([data_true, data_pred], n_hits = 10, cylindrical = cylindrical, n_tracks = N_tracks, \n", - " path=path_html, title='Track Prediction #10 Hit - Model %s (Nearest hits)' % name.upper(), auto_open=True)\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# predicted data\n", - "N_tracks = 8\n", - "path_html = ''\n", - "name = configs['model']['name']\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_cylin_nearest.html' % name)\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_xyz_nearest.html' % name)\n", - "\n", - "\n", - "fig = track_plot_xyz([data_true, data_pred_nearest], n_hits = 10, cylindrical = cylindrical, n_tracks = N_tracks, \n", - " path=path_html, title='Track Prediction #10 Hit - Model %s (Nearest hits)' % name.upper(), auto_open=True)\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# predicted data\n", - "N_tracks = 8\n", - "path_html = ''\n", - "name = configs['model']['name']\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_cylin_nearest.html' % name)\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_xyz_nearest.html' % name)\n", - "\n", - "\n", - "fig = track_plot_xyz([data_true, data_pred, data_pred_nearest], n_hits = 10, cylindrical = cylindrical, n_tracks = N_tracks, \n", - " path=path_html, title='Track Prediction #10 Hit - Model %s (Nearest hits)' % name.upper(), auto_open=True)\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/main_test_nearest.ipynb b/notebooks/main_test_nearest.ipynb deleted file mode 100644 index 4d8979a..0000000 --- a/notebooks/main_test_nearest.ipynb +++ /dev/null @@ -1,6927 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import sys\n", - "import os\n", - "import time" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# include path to our library\n", - "cwd = os.getcwd()\n", - "dir_path = os.path.dirname(os.path.realpath(cwd))\n", - "sys.path.append(dir_path)\n", - "time.sleep(2)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "/home/steve/git/track-ml\n", - "config-cnn.json\t\t config_rnn.json main-paralel.py\t README.md\r\n", - "config_cnn.json\t\t core\t\t main.py\t\t results\r\n", - "config.json\t\t dataset\t main_test_neartest.py results.txt\r\n", - "config-lstm.json\t env.yml\t main_test_.py\t run.sh\r\n", - "config_lstm.json\t git_commands\t main_train.py\t tmp.txt\r\n", - "config-lstm-paralel.json logs\t\t notebooks\r\n", - "config-mlp.json\t\t main_inference.py old\r\n", - "config-paralel.json\t main_mlp.py\t prediction-img.png\r\n" - ] - } - ], - "source": [ - "dir_path\n", - "%cd $dir_path\n", - "!ls" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Using TensorFlow backend.\n" - ] - } - ], - "source": [ - "import argparse\n", - "import json\n", - "\n", - "from sklearn.model_selection import train_test_split\n", - "import tensorflow as tf\n", - "from tensorflow import set_random_seed\n", - "\n", - "import keras.backend as K\n", - "from keras.backend.tensorflow_backend import set_session\n", - "\n", - "from core.data.data_loader import *\n", - "from core.models.lstm import ModelLSTM, ModelLSTMParalel, ModelLSTMCuDnnParalel\n", - "from core.models.cnn import ModelCNN\n", - "from core.models.mlp import ModelMLP\n", - "\n", - "from core.utils.metrics import *\n", - "from core.utils.utils import *\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## loading Configurartion ##\n" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "OK reading of json file\n" - ] - } - ], - "source": [ - "# load some configurations configurations of model and others\n", - "configs = json.load(open('config_lstm.json', 'r'))\n", - "output_path = configs['paths']['save_dir']\n", - "output_logs = configs['paths']['log_dir']\n", - "\n", - "if os.path.isdir(output_path) == False:\n", - " os.mkdir(output_path)\n", - "\n", - "if os.path.isdir(output_logs) == False:\n", - " os.mkdir(output_logs) \n", - "\n", - "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", - "num_features = configs['model']['layers'][0]['input_features'] # the number of features of each hits\n", - "\n", - "split = configs['data']['train_split'] # the number of features of each hits\n", - "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", - "normalise = configs['data']['normalise'] \n", - "num_hits = configs['data']['num_hits']\n", - "print('OK reading of json file')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Setup Data ##" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'/data/track-ml/eramia/dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv'" - ] - }, - "execution_count": 50, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# reading path of data\n", - "path = configs['data']['filename']\n", - "path" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Data] Data loaded from /data/track-ml/eramia/dataset/phi025-025_eta025-025_train1_lasthit_20200219.csv\n", - "\t We have removed 8 unuseful tracks. We believe you need to know. \n", - "[Data] Data set shape (2640, 30)\n", - "[Data] Data train shape (2112, 30)\n", - "[Data] Data test shape (528, 30)\n" - ] - } - ], - "source": [ - "data = Dataset(path, split, cylindrical, num_hits, KindNormalization.Zscore)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(12672, 12)\n", - "(12672, 3)\n" - ] - }, - { - "data": { - "text/html": [ - "
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" n_features=num_features, normalise=True)\n", - "#dataset = dataset.iloc[0:2640,0:]/ b\n", - "#dataset = dataset.iloc[0:31600,0:]\n", - "print(X_train.shape)\n", - "print(y_train.shape)\n", - "X_train.head(6)" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": {}, - "outputs": [], - "source": [ - "# reshape data \n", - "time_steps = configs['model']['layers'][0]['input_timesteps'] # the number of points or hits\n", - "num_features = configs['model']['layers'][0]['input_features'] # the number of features of each hits\n", - "split = configs['data']['train_split'] # the number of features of each hits\n", - "cylindrical = configs['data']['cylindrical'] # set to polar or cartesian coordenates\n", - "normalise = configs['data']['normalise']" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "False\n" - ] - } - ], - "source": [ - "# there is empty data?\n", - "print(X_train.isnull().values.any())\n", - "#print(X_test.isnull().values.any())\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Data] shape X_train (12672, 4, 3)\n", - "[Data] shape y_train (12672, 3)\n" - ] - } - ], - "source": [ - "X_train = data.reshape3d(X_train, time_steps, num_features)\n", - "\n", - "print('[Data] shape X_train ', X_train.shape)\n", - "print('[Data] shape y_train ', y_train.shape)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": {}, - "outputs": [], - "source": [ - "def manage_models(config):\n", - " \n", - " type_model = config['model']['name']\n", - " model = None\n", - "\n", - " if type_model == 'lstm': #simple LSTM\n", - " model = ModelLSTM(config)\n", - " elif type_model == 'lstm-paralel':\n", - " model = ModelLSTMParalel(config)\n", - " elif type_model == 'cnn':\n", - " model = ModelCNN(config)\n", - " elif type_model == 'mlp':\n", - " model = ModelMLP(config) \n", - "\n", - " return model\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create Model ##" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "DCtuvkiXn32hugVsTaokcp\n", - "/data/track-ml/eramia/compiled/model-lstm-DCtuvkiXn32hugVsTaokcp-coord-xyz-normalise-true.h5\n" - ] - } - ], - "source": [ - "# geramos o modelo\n", - "#configs = json.load(open('config_test.json', 'r'))\n", - "model = manage_models(configs)\n", - "\n", - "if model is None:\n", - " print('Please instance model')\n", - "\n", - "loadModel = configs['training']['load_model']\n", - "#loadModel = False\n", - "#loadModel = True " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create Model ##" - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Model] Loading model from file /data/track-ml/eramia/compiled/model-lstm-DCtuvkiXn32hugVsTaokcp-coord-xyz-normalise-true.h5\n" - ] - } - ], - "source": [ - "from core.utils.metrics import *\n", - "\n", - "# in-memory training\n", - "if loadModel == False:\n", - " model.build_model()\n", - " # in-memory training\n", - " history = model.train(\n", - " x=X_train,\n", - " y=y_train,\n", - " epochs = configs['training']['epochs'],\n", - " batch_size = configs['training']['batch_size']\n", - " )\n", - "\n", - " evaluate_training(history, output_path)\n", - "\n", - "elif loadModel == True: \n", - " if not model.load_model():\n", - " print ('[Error] please change the config file : load_model')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Evaluate The model (just training)##" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "#evaluate the model\n", - "from core.utils.metrics import *\n", - "#evaluate_training(history,output_path)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Normal Prediction and Nearest ##\n", - "We concatenate features to predict one hit." - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "metadata": {}, - "outputs": [], - "source": [ - "# Prediction\n", - "import numpy as np\n", - "from core.utils.metrics import *\n", - "from core.utils.utils import *" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(528, 12)\n", - "(528, 18)\n" - ] - }, - { - "data": { - "text/html": [ - "
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"#y_test_ = convert_matrix_to_vec(y_test, 3)\n", - "#y_test_ = np.array(y_test_)\n", - "\n", - "pred_full_res, correct = model.predict_full_sequences_nearest(X_test_, y_test, 6)\n", - "print('finished prediction nearest...')\n", - "\n", - "predicted_nearest = convert_vector_to_matrix(pred_full_res, 3, 6)\n", - "predicted_nearest = to_frame(predicted_nearest)\n", - "predicted_nearest.head()\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'X_test' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# vetor de contagens\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mtotal\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX_test\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcorrect\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'X_test' is not defined" - ] - } - ], - "source": [ - "# vetor de contagens\n", - "total = X_test.shape[0]\n", - "\n", - "print(correct)\n", - "\n", - "#taxa_acertos = [(correct*100)/total for x in range(0, len(correct))]\n", - "print((correct*100)/total)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Metrics for Normal Prediction ###" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "---Regression Scores--- \n", - "\tR_2 statistics (R2) = 0.169\n", - "\tRoot Mean Square Error(RMSE) = 0.911\n", - "\tMean Absolute Error (MAE) = 0.644\n", - "\n", - "\tR^2 features:\t[0.00, -0.00, 0.01] \n", - "\tRMSE average:\t\t[0.911] \n", - "\tRMSE vector: \t[0.03, 0.03, 0.00] \n" - ] - } - ], - "source": [ - "# metricas sem nearest\n", - "result = calc_score(data.reshape2d(y_test, 1),\n", - " data.reshape2d(predicted, 1), report=False)\n", - "print(result)\n", - "r2, rmse, rmses = evaluate_forecast_seq(y_test, predicted)\n", - "summarize_scores(r2, rmse, rmses)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Metrics for Nearest Prediction ###" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "---Regression Scores--- \n", - "\tR_2 statistics (R2) = 0.48\n", - "\tRoot Mean Square Error(RMSE) = 0.721\n", - "\tMean Absolute Error (MAE) = 0.518\n", - "\n", - "\tR^2 features:\t[0.00, 0.00, 0.01] \n", - "\tRMSE average:\t\t[0.721] \n", - "\tRMSE vector: \t[0.02, 0.02, 0.00] \n" - ] - } - ], - "source": [ - "# metricas para nearest\n", - "result = calc_score(data.reshape2d(y_test, 1),\n", - " data.reshape2d(predicted_nearest, 1), report=False)\n", - "print(result)\n", - "r2, rmse, rmses = evaluate_forecast_seq(y_test, predicted_nearest)\n", - "summarize_scores(r2, rmse, rmses)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Convert to Millimeters ###" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Data] Inverse Transforming ...\n", - "[Data] shape y_predicted_orig (528, 18)\n", - "[Data] shape y_test_orig (528, 18)\n", - "---Regression Scores--- \n", - "\tR_2 statistics (R2) = 0.967\n", - "\tRoot Mean Square Error(RMSE) = 59.404\n", - "\tMean Absolute Error (MAE) = 31.864\n", - "\n", - "\tR^2 features:\t[0.00, 0.00, 0.01] \n", - "\tRMSE average:\t\t[59.404] \n", - "\tRMSE vector: \t[1.50, 2.10, 0.00] \n" - ] - } - ], - "source": [ - "if normalise:\n", - " print('[Data] Inverse Transforming ...')\n", - " y_test_orig = data.inverse_transform_test_y(y_test)\n", - " y_predicted_orig = data.inverse_transform_test_y(predicted)\n", - " y_predicted_orig_nearest = data.inverse_transform_test_y(predicted_nearest)\n", - " \n", - "else:\n", - " y_test_orig = y_test\n", - " y_predicted_orig = predicted\n", - " y_predicted_orig_nearest = predicted_nearest\n", - "\n", - "\n", - "y_test_orig = pd.DataFrame(y_test_orig)\n", - "y_predicted_orig = pd.DataFrame(y_predicted_orig)\n", - "y_predicted_orig_nearest = pd.DataFrame(y_predicted_orig_nearest)\n", - "\n", - "print('[Data] shape y_predicted_orig ', y_predicted_orig.shape) \n", - "print('[Data] shape y_test_orig ', y_test_orig.shape)\n", - "\n", - "result = calc_score(data.reshape2d(y_test_orig, 1),\n", - " data.reshape2d(y_predicted_orig_nearest, 1), report=False)\n", - "print(result)\n", - "r2, rmse, rmses = evaluate_forecast_seq(y_test_orig, y_predicted_orig_nearest)\n", - "summarize_scores(r2, rmse, rmses)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Prepare data for Visualization ##" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(528, 12)\n", - "(528, 18)\n" - ] - } - ], - "source": [ - "x_true, y_true = data.get_testing_data(n_hit_in=time_steps, n_hit_out=1,\n", - " n_features=num_features, normalise=False)\n", - "#x_true = X_test\n", - "#y_true = y_test\n", - "print(x_true.shape)\n", - "print(y_true.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Shape (528, 30)\n" - ] - } - ], - "source": [ - "# join both dataset must be equal to X_test\n", - "data_test = np.concatenate([x_true , y_true], axis = 1)\n", - "data_test = pd.DataFrame(data_test)\n", - "print('Shape ', data_test.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [], - "source": [ - "# must be equal\n", - "#data_test.values == X_test_new.values\n" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Shape (528, 30)\n" - ] - } - ], - "source": [ - "# join both dataset should be equal to X_test but not equal\n", - "data_pred = np.concatenate([x_true , y_predicted_orig], axis = 1 )\n", - "data_pred = pd.DataFrame(data_pred)\n", - "print('Shape ', data_pred.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Shape (528, 30)\n" - ] - } - ], - "source": [ - "# join both dataset should be equal to X_test but not equal\n", - "data_pred_nearest = np.concatenate([x_true , y_predicted_orig_nearest], axis = 1 )\n", - "data_pred_nearest = pd.DataFrame(data_pred_nearest)\n", - "print('Shape ', data_pred_nearest.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# should not be equal\n", - "#data_pred.values == X_test_new.values" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Output] Results saved at % results\n" - ] - } - ], - "source": [ - "if cylindrical:\n", - "\n", - " y_test_orig.to_csv(os.path.join(output_path, 'y_true_%s_cylin_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " y_predicted_orig.to_csv(os.path.join(output_path, 'y_pred_%s_cylin_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " x_true.to_csv(os.path.join(output_path, 'x_true_%s_cylin_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "else:\n", - " \n", - " y_test_orig.to_csv(os.path.join(output_path, 'y_true_%s_xyz_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - " y_predicted_orig.to_csv(os.path.join(output_path, 'y_pred_%s_xyz_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - " x_true.to_csv(os.path.join(output_path, 'x_true_%s_xyz_nearest.csv' % configs['model']['name']),\n", - " header=False, index=False)\n", - "\n", - "print('[Output] Results saved at %', output_path)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Visualization ##" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Dados originais\n", - "N_tracks = 50\n", - "path_html = ''\n", - "name = configs['model']['name']\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-original-%s_cylin_nearest.html' % name)\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-original-%s_xyz_nearest.html' % name)\n", - " \n", - "fig = track_plot_xyz([data_test], n_hits = 10, cylindrical = cylindrical, n_tracks = 50, \n", - " path=path_html, title='Track Original #10 Hit - Model %s' % name.upper())\n", - "\n", - "fig.show()" - ] - }, - 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"ticks": "", - "title": { - "standoff": 15 - }, - "zerolinecolor": "white", - "zerolinewidth": 2 - } - } - }, - "title": { - "text": "Track Prediction #10 Hit - Model LSTM (Nearest hits)" - } - } - }, - "text/html": [ - "
\n", - " \n", - " \n", - "
\n", - " \n", - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# predicted data\n", - "N_tracks = 3\n", - "path_html = ''\n", - "name = configs['model']['name']\n", - "\n", - "if cylindrical:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_cylin_nearest.html' % name)\n", - "else:\n", - " path_html=os.path.join(output_path, 'track-predicted-%s_xyz_nearest.html' % name)\n", - "\n", - "data_test.name = 'real' \n", - "data_pred.name = 'predito'\n", - "data_pred_nearest.name = 'nearest'\n", - "fig = track_plot_xyz([data_test, data_pred, data_pred_nearest], n_hits = 10, cylindrical = cylindrical, n_tracks = N_tracks, \n", - " path=path_html, title='Track Prediction #10 Hit - Model %s (Nearest hits)' % name.upper(), auto_open=True)\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/normalization_data.ipynb b/notebooks/normalization_data.ipynb deleted file mode 100644 index b7636fb..0000000 --- a/notebooks/normalization_data.ipynb +++ /dev/null @@ -1,101 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import seaborn as sns\n", - "import matplotlib.pyplot as plt\n", - "from sklearn.preprocessing import minmax_scale\n", - "\n", - "# set seed for reproducibility\n", - "np.random.seed(0)\n", - "\n", - "# generate 1000 data points randomly drawn from an exponential distribution\n", - "original_data = np.random.exponential(size = 1000)\n", - "\n", - "# mix-max scale the data between 0 and 1\n", - "scaled_data = minmax_scale(original_data)\n", - "\n", - "# plot both together to compare\n", - "fig, ax=plt.subplots(1,2)\n", - "sns.distplot(original_data, ax=ax[0], color='y')\n", - "ax[0].set_title(\"Original Data\")\n", - "sns.distplot(scaled_data, ax=ax[1])\n", - "ax[1].set_title(\"Scaled data\")\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# for Box-Cox Transformation\n", - "from scipy import stats\n", - "\n", - "# normalize the exponential data with boxcox\n", - "normalized_data = stats.boxcox(original_data)\n", - "\n", - "# plot both together to compare\n", - "fig, ax=plt.subplots(1,2)\n", - "sns.distplot(original_data, ax=ax[0], color='y')\n", - "ax[0].set_title(\"Original Data\")\n", - "sns.distplot(normalized_data[0], ax=ax[1])\n", - "ax[1].set_title(\"Normalized data\")\n", - "plt.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [conda env:.conda-trackml2]", - "language": "python", - "name": "conda-env-.conda-trackml2-py" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -}