MAT 280 Harmonic Analysis on Graphs & Networks Lecture Slides Page (Fall 2019)
Lecture 01: Overture: Why Graphs & Networks? Our Course Plan (on Thursday, September 26)
Lecture 02: Prelude to Harmonic Analysis on Graphs: Laplacian Eigenfunctions on General Shape Domains in Rd (on Tuesday, October 1)
Lecture 03: Basics of Graph Theory: Graph Laplacians (on Thursday, October 3)
Lecture 04: Graph Laplacian Eigenvalues (on Tuesday, October 8)
Lecture 05: Graph Laplacian Eigenvalues II (on Thursday, October 10)
Lecture 06: Graph Laplacian Eigenfunctions (on Tuesday, October 15)
Lecture 07: Graph Laplacian Eigenfunctions II: Spectral Clustering (on Thursday, October 17)
Lecture 08: Graph Laplacian Eigenfunctions III: Analysis of Localization/Phase Transition Phenomena (on Tuesday, October 22)
Lecture 09: Graph Construction from Given Datasets (on Thursday, October 24)
Lecture 10: Distances on Graphs (on Tuesday, October 29)
Lecture 11: Distances on Graphs II: Applications of Commute-Time Distances (on Thursday, October 31)
Lecture 12: Applications of Sparse Graphs: Signal Classification Using Sparse Representation (on Tuesday, November 5)
Lecture 13: Distances on Graphs III: From Commute-Time Distance to Diffusion Distance (on Thursday, November 7)
Lecture 14: Dimension Reduction via PCA, Laplacian Eigenmaps, & Diffusion Maps (on Tuesday, November 12)
Lecture 15: Applications of Dimension Reduction Techniques to Signal Ensemble Classification (on Thursday, November 14)
Lecture 16: Wavelets on Graphs I (on Tuesday, November 19)
Lecture 17: Wavelets on Graphs II: Organizing `Dual' Domains of Graphs (Part 1) (on Thursday, November 21)
Lecture 18: Wavelets on Graphs III: Organizing `Dual' Domains of Graphs (Part 2) (on Tuesday, November 26)
Lecture 19: Wavelets on Graphs IV: Hierarchical Graph Laplacian Eigen Transform (HGLET) (on Tuesday, December 3)
Lecture 20: Wavelets on Graphs V: The Generalized Haar-Walsh Transform and its Extension (on Thursday, December 5)