Media Summary: We continue the proof the Cheeger inequality. A visualization of the power method applied to find the second eigenvalue of the Laplacian of a cycle and of an hypercube. We discuss how to extend the methods of spectral graph theory to undirected graphs that are not regular, and we mention a ...
Expanders Lecture 3 Part 2 - Detailed Analysis & Overview
We continue the proof the Cheeger inequality. A visualization of the power method applied to find the second eigenvalue of the Laplacian of a cycle and of an hypercube. We discuss how to extend the methods of spectral graph theory to undirected graphs that are not regular, and we mention a ... We describe the power method algorithm to approximately compute eigenvalues and eigenvectors, and begin the analysis. Computer Science/Discrete Mathematics Seminar II Topic: High dimensional A quick overview of recent results on spectral graph theory, related to spectral clustering.
We introduce the "sweep" algorithm for spectral partitioning and we begin the proof of the difficult direction of the Cheeger ...
