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Basic Methods of Data Analysis

This repository contains the lecture notes of the lecture Basic Methods of Data Analysis presented at JKU in the winter term 21/22.

📄 Lecture Notes (PDF)

Contents:

  1. Linear Algebra:
    • Inner / outer product
    • Matrix-vector multiplication
    • Matrix-matrix multiplication:
      • Inner / outer product view
    • Orthogonal matrices
    • Eigenvalues and eigenvectors
    • Definiteness
    • Symmetric matrices
  2. Singular Value Decomposition
  3. Univariate and Bivariate Data
    • Summary statistics
    • Correlation
    • Linear regression
  4. Principal Component Analysis
  5. Multiple Linear Regression
  6. Probability Theory