MLF Notes

Author

Karthik Thiagarajan

The content is divided into two parts. Whatever ideas are deemed essential are presented as the core content. A more detailed treatment of some concepts can be found under the appendix.

Under Active Development

These are notes are under active development. If you find any typos or errors, or if you would like to share your feedback, please drop a mail to karthik@study.iitm.ac.in.

Core

Title
Notation
Introduction
Datasets
ML Problem
Linear Regression
System of Linear Equations
\(\mathbf{A} \mathbf{x}=\mathbf{0}\)
\(\mathbf{Ax} = \mathbf{b}\)
\(\mathbf{Ax} \approx \mathbf{b}\)
Projections
Linear Transformations
Best-Fit Hyperplane
Eigenvalues and Eigenvectors
Characteristic Polynomial
Computing Eigenvectors
Diagonalization
Tests for Diagonalizability
Diagonalizability in Action
Complex Numbers

Appendix

Title
Matrix Multiplication
Block Matrix Multiplication
\(A^TA\) and \(AA^T\)
Multiplicity of Eigenvalues
Projection Matrices