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MATH 420 , Spring 2023: Notes and Summary

Lecture Date What was covered Lecture Notes and other info
1 Jan. 26 Introduction: Linear Regression (1) Fit1
2 Jan.31 Linear Regression (2) Fit2
3 Feb. 2 Linear Regression (3), PCA (1) Fit3, PCA_ICA
4 Feb. 7 PCA (2), ICA PCA_ICA, assignment 1 due
5 Feb. 9 Agent based Simulations of ODEs Agents based Simulation
6 Feb.14 SI models SI, assignment 2 due
7 Feb.16 SIR models SIR
8 Feb.21 Calibration of SIR (1) Calib SIR (1)
9 Feb.23 Calibration of SIR (2) Calib SIR (2), assignment 3 due
10 Feb.28 SEIR Models SEIR
11 Mar. 2 SEIR (2) , Optimizations Optimizations, assignment 4 due
12 Mar. 7 Models in Epidemiology Review
13 Mar. 9 Project One Presentations
14 Mar.14 Project One Presentations
15 Mar.16 Project One Presentations
- March 20-24 Spring Break
16 Mar.28 Graphs: Adjacency and Laplacian; Erdos-Reny Random Graphs Graphs , movie
17 Mar.30 Random Graphs ER and SBM , Phase Transitions in ER Model (supplemental)
18 Apr. 4 Geometric Graphs Embeddings Full data , Partial data
19 Apr. 6 Cheegar Constant and Spectral Gap Spectral Theory
20 Apr.11 Alignment Problems Registration , assignment 5 due
21 Apr.13 Community Detection Graph Partitions
22 Apr.18 Visualizations and Rigid Transformations Motions , assignment 6 due
23 Apr.20 Embeddings Laplacian Eigenmaps
24 Apr.25 Embeddings Isomap , assignment 7 due
25 Apr.27 Geometric and Random Graph Theory Recap Review
26 May. 2 Project Two Presentations
27 May. 4 Project Two Presentations
28 May. 9 Project Two Presentations
29 May.11 Project Two Presentations
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