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.
Camporesi, F., Frosini, P., Quercioli, N. (2018). On a new method to build group equivariant operators by means of permutants. Cham : Springer Verlag [10.1007/978-3-319-99740-7_18].
On a new method to build group equivariant operators by means of permutants
Frosini, Patrizio;Quercioli, Nicola
2018
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.File in questo prodotto:
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