Feb 9, 2024 · Abstract. The spectral decomposition of graph adjacency matrices is an essential ingredient in the design of graph signal processing (GSP) ...

Mar 6, 2023 · In this paper, we provide an explicit and detailed representation-theoretic account for the spectral decomposition of the adjacency matrix of a ...

Mar 7, 2023 · In this paper, we provide an explicit and detailed representation-theoretic account for the spectral decomposition of the adjacency matrix of a ...

This paper provides an explicit and detailed representation-theoretic account for the spectral decomposition of the adjacency matrix of a (weighted) Cayley ...

An important problem in the field of graph signal processing is developing appropriate frame constructions for signals defined on different families of graphs.

We explore how natural classes of translations can be constructed for Cayley graphs, and how the choice of an eigenbasis can significantly impact the properties ...

We also examine how Gabor-type frames behave for signals defined on Cayley graphs by exploiting the representation theory of the underlying group. We ...

This paper proposes a new framework for constructing Gabor-type frames for signals on graphs that uses general and flexible families of linear operators ...

The Cayley graph of the symmetric group has natural applications in ranked data analysis, as its vertices represent permutations, while the generating set ...

In this paper, we propose a new framework for constructing Gabor-type frames for signals on graphs. Our approach uses general and flexible families of linear ...