MLF Weekwise Summary
Week
Topics
Week 3
The Four Fundamental Subspaces
Projections
Ax = b : Least Square Solution
Week 4
Linear and Polynomial Regression
Eigenvalues and Eigenvectors
Diagonalization
Week 5
Complex Numbers and Complex Vectors
Hermitian and Unitary Matrices
Week 6
Singular Value Decomposition
Positive Definite Matrices
Week 7
Principal Component Analysis
Week 8
Introduction to Optimization
Unconstrained Optimization
Week 9
Constrained Optimization: One Inequality
Constrained Optimization: One Equality
Convex Sets
Convex Functions
Properties of Convex Functions
Week 10
Optimization: An Application in ML
Revisiting Optimization
Karush-Kuhn-Tucker (KKT) Conditions
Week 11
Continuous Random Variables
Two Random Variables
Week 12
Random Vectors
Bivariate and Multivariate Normal
Maximum Likelihood Estimation
Linear Regression with Gaussian Noise
Gaussian Mixture Model
Some Inequalities and CLT