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. Inspired by the integral operator form of graphon shift operators, we construct a
marginal complexon and complexon shift operator (CSO) according to components of all …