Spectral Convergence of Simplicial Complex Signals

arXiv:2309.07169v3 Announce Type: replace-cross
Abstract: Topological signal processing (TSP) utilizes simplicial complexes to model structures with higher order than vertices and edges. In this paper, we study the transferability of TSP via a generalized higher-order version of graphon, known as complexon. We recall the notion of a complexon as the limit of a simplicial complex sequence [1]. Inspired by the graphon shift operator and message-passing neural network, we construct a marginal complexon and complexon shift operator (CSO) according to components …

abstract arxiv convergence cs.lg eess.sp generalized notion paper processing recall signal study type via