Mathematics

1. [2023.03.10] Haojun Li (presentation link) Keyword: Vector spaces, Normed spaces, LP-spaces, Hilbert spaces

• Normed spaces

2. [2023.03.17] Haojun Li (presentation link) Keyword: Hilbert spaces, Fourier analysis, Multiresolution approximations(MRA), Construction of Daubechies orthonormal wavelets

• Orthonormal wavelets with compact supports

3. [2023.03.24] Haojun Li (presentation link) Keyword: Vectors, Matrices, Multiplication, Column(Row) operations, LU decomposition, Linear equations

• A brief review on Linear Algebra

4. [2023.03.31] Haojun Li (presentation link) Keyword: Four subspaces and ranks of matrics, Orthogonal bases, matrices, Gram-Schmidt, QR, Determinants, Eigenvalues and Eigenvectors, Positive definite symmetric matrix

• A brief review on Linear Algebra 2

5. [2023.04.07] Haojun Li (presentation link) Keyword: Singular value decomposition, Matrix norms, Principle components

• A brief review on Linear Algebra 3

6. [2023.05.19] Haojun Li (presentation link) Keyword: Inverse of Matrices, Properties of invertible matrices, Condition number of invertible matrices, Pseudo inverse of matrices, System of linear equations

• A brief review on Linear Algebra 4

7. [2023.05.26] Haojun Li (presentation link) Keyword: Probability, Random variables, Expectations and variances, Multivariate normal distributions, Probabilistic interpretation of linear regression

• A brief review on probability and statistics

8. [2023.06.16] Haojun Li (presentation link) Keyword: Convex sets, Convex functions, Convex optimization problems

• Introduction to Convex Optimization

9. [2023.06.23] Haojun Li (presentation link) Keyword: Lagrange multiplier, Duality, Optimal condition, Support vector machine

• Introduction to Convex Optimization 2

10. [2023.07.14] Haojun Li (presentation link) Keyword: Gradient, Gradient descent method,  ADAGRAD, ADAM, YOGI

• Gradient Descent Methods