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Homework policy: I anticipate assigning three to five problem sets. Collaboration policy: While you should first think about the problems on your own, you are encouraged to discuss the problems with ...

Abstract: Spectral graph theory is the study of the eigenvalues and eigenvectors of matrices associated with graphs. In this tutorial, we will try to provide some intuition as to why these ...

Spectral graph theory is a branch of mathematics that studies the relationships between the eigenvectors and eigenvalues of Laplacian and adjacency matrices and their associated graphs. The ...

1 Department of Computer Science, University of Illinois Urbana-Champaign, Urbana, IL, United States 2 Department of Mathematics, Illinois State University, Normal, IL, United States Spectral graph ...

ABSTRACT: Dimension reduction is defined as the processes of projecting high-dimensional data to a much lower-dimensional space. Dimension reduction methods variously applied in regression, ...