2 papers
math.GN2022
Compactification of Perception Pairs and Spaces of Group Equivariant non-Expansive Operators
Faraz Ahmad
We define the notions of a compact perception pair, compactification of a perception pair, and compactification of a space of group equivariant non-expansive operators. We prove th…
math.CO2022
Generalized Permutants and Graph GENEOs
Faraz Ahmad, Massimo Ferri, Patrizio Frosini
In this paper we establish a bridge between Topological Data Analysis and Geometric Deep Learning, adapting the topological theory of group equivariant non-expansive operators (GEN…