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Chapter 5: Compressing Data via Dimensionality Reduction

Chapter Outline

  • Unsupervised dimensionality reduction via principal component analysis
    • The main steps behind principal component analysis
    • Extracting the principal components step by step
    • Total and explained variance
    • Feature transformation
    • Principal component analysis in scikit-learn
  • Supervised data compression via linear discriminant analysis
    • Principal component analysis versus linear discriminant analysis
    • The inner workings of linear discriminant analysis
    • Computing the scatter matrices
    • Selecting linear discriminants for the new feature subspace
    • Projecting samples onto the new feature space
    • LDA via scikit-learn
  • Nonlinear dimensionality reduction techniques
    • Visualizing data via t-distributed stochastic neighbor embedding
  • Summary

Please refer to the README.md file in ../ch01 for more information about running the code examples.