Chapter 7: Dimensionality and its Reduction

This chapter covers dimensionality reduction, from linear methods such as PCA, NMF, and ICA, to nonlinear methods such as LLE and Isomap.

SDSS spectra Examples

Scematic Diagram of PCA

Plot a visual representation of an SVD

SDSS spectra Decompositions

SDSS Eigenvalues

PCA Reconstruction of a spectrum

SDSS Reconstruction from Eigenspectra

Comparison of PCA and Manifold Learning

PCA Projection of SDSS Spectra