Extreme Learning machine

Code of the algorithms

• nesterov.py: Implementation of the Nesterov Accelerated Gradient algorithm.
• modelutils.py: Contains the code for the Extreme Learning Machine (ELM) model.
• cholesky.py and backfwd.py: Provide the code for solving the closed-form solution using Cholesky decomposition and forward/backward substitution.

Setting Up the Python Environment

Make sure Python 3.11 is installed. If not, download it from the official website or use a package manager (e.g., brew install python@3.11 on macOS).

To create and use a virtual environment:

1. Create a new virtual environment:

   python3.11 -m venv .venv

2. Activate the environment:

   • On macOS/Linux:

     source .venv/bin/activate

   • On Windows:

     .venv\Scripts\activate

3. Install required packages (replace requirements.txt with your dependencies file if available):

   pip install -r requirements.txt

Experiments

With the environment activated, you can use Jupyter to run the notebooks nesterov.ipynb and cholesky.ipynb:

pip install jupyter
jupyter notebook

Then, open the notebooks in your browser and execute the cells as needed.