A topological model for partial equivariance in deep learning and data analysis

In this article, we propose a topological model to encode partial equivariance in neural networks. To this end, we introduce a class of operators, called P-GENEOs, that change data expressed by measurements, respecting the action of certain sets of transformations, in a non-expansive way. If the set...

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Bibliographic Details

Published in:	Frontiers in Artificial Intelligence
Main Authors:	Lucia Ferrari, Patrizio Frosini, Nicola Quercioli, Francesca Tombari
Format:	Article
Language:	English
Published:	Frontiers Media S.A. 2023-12-01
Subjects:	partial-equivariant neural network P-GENEO pseudo-metric space compactness convexity
Online Access:	https://www.frontiersin.org/articles/10.3389/frai.2023.1272619/full