AUTHOR=Conti Francesco , Frosini Patrizio , Quercioli Nicola 

TITLE=On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions

JOURNAL=Frontiers in Artificial Intelligence

VOLUME=Volume 5 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/artificial-intelligence/articles/10.3389/frai.2022.786091

DOI=10.3389/frai.2022.786091

ISSN=2624-8212

ABSTRACT=Group equivariant operators are a fundamental tool in the research on neural networks. In this paper we introduce and explore the concept of Group Equivariant Non-Expansive Operator (GENEO) associated with a symmetric function, making available a new method for the construction of non-linear GENEOs.