On the finite representation of linear group equivariant operators via permutant measures

DOI10.1007/s10472-022-09830-1OpenAlexW4321105568MaRDI QIDQ6133706

Patrizio Frosini, Martina Brasini, Giovanni Bocchi, Nicola Quercioli, Stefano Botteghi

Publication date: 21 August 2023

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10472-022-09830-1

zbMATH Keywords

group equivariant non-expansive operatorgroup equivariant operatorpermutantpermutant measure

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Linear operators on function spaces (general) (47B38) Applications of group representations to physics and other areas of science (20C35) Stochastic matrices (15B51) Computational aspects of data analysis and big data (68T09) Topological data analysis (62R40)

Related Items (1)

A new paradigm for artificial intelligence based on group equivariant non-expansive operators

Cites Work

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• On invariance and selectivity in representation learning
• Natural pseudodistances between closed manifolds

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