Affordable Access

Natural Graph Wavelet Packet Dictionaries

Authors
  • Cloninger, A
  • Li, H
  • Saito, N
Publication Date
Jun 01, 2021
Source
eScholarship - University of California
Keywords
License
Unknown
External links

Abstract

We introduce a set of novel multiscale basis transforms for signals on graphs that utilize their “dual” domains by incorporating the “natural” distances between graph Laplacian eigenvectors, rather than simply using the eigenvalue ordering. These basis dictionaries can be seen as generalizations of the classical Shannon wavelet packet dictionary to arbitrary graphs, and do not rely on the frequency interpretation of Laplacian eigenvalues. We describe the algorithms (involving either vector rotations or orthogonalizations) to construct these basis dictionaries, use them to efficiently approximate graph signals through the best basis search, and demonstrate the strengths of these basis dictionaries for graph signals measured on sunflower graphs and street networks.

Report this publication

Statistics

Seen <100 times