Demos for book "Linear algebra for DS, ML and SP"

https://github.com/JeffFessler/book-la-demo

This repo contains demo code in the Julia language to accompany the book "Linear Algebra for Data Science, Machine Learning, and Signal Processing" (formerly known as "Matrix Methods and Applications") by Jeff Fessler and Raj Nadakuditi of the University of Michigan. Published 2024 by Cambridge University Press.

The demos expect Julia 1.9 or above.

To view the demos, click this button:

of the book.

list.

Samples

Here are some examples of the kinds of figures generated in the demos.

• Binary classification

• Video foreground/background separation

• Non-negative matrix factorization

• Photometric stereo

• Preconditioning

• Source localization

• Spectral clustering

Demo index

• 1.1 Julia overview

• 1.2 Julia vectors

• 2.1 convolution

• 2.2 dot product

• 2.3 outer product

• 2.4 matrix-vector multiplication

• 2.5 heatmap

• 4.1 SVD of finite differences

• 5.1 lifting for LS

• 5.2 LS fits

• 5.3 LS cost functions

• 5.4 frames and image denoising with wavelets

• 5.5 cross validation

• 6.1 robust regression

• 6.2 Procrustes

• 7.1 Rank-1

• 7.2 Photometric stereo

• 7.3 Source localization via MDS

• 7.4 SURE

• 7.5 PCA

• 8.1 Spectral clustering

• 8.2 Laplacian eigenmaps

• 8.3 Kronecker sum

• 9.1 Preconditioning

• 9.2 Binary classification

• 10.1 Matrix completion

• 10.2 Matrix completion

• 10.3 Video foreground/background separation

• 10.4 Nonnegative matrix factorization

• 11.1 Neural networks: MLP

• 12.1 RMT and roundoff

• 12.2 RMT and Noise

• 12.3 Outliers

• 12.4 Missing data