The use of group equivariant operators is becoming more and more important in machine learning and topological data analysis. In this paper we introduce a new method to build G-equivariant non-expansive operators from a set ϕ of bounded and continuous functions (Formula Presented) itself, where X is a topological space and G is a subgroup of the group of all self-homeomorphisms of X.

On a new method to build group equivariant operators by means of permutants

Frosini, Patrizio;
2018-01-01

Abstract

The use of group equivariant operators is becoming more and more important in machine learning and topological data analysis. In this paper we introduce a new method to build G-equivariant non-expansive operators from a set ϕ of bounded and continuous functions (Formula Presented) itself, where X is a topological space and G is a subgroup of the group of all self-homeomorphisms of X.
2018
9783319997391
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1264269
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