Seminario del 2020


2020
24 Febbraio
N. Quercioli
On some methods to build GENEOs in Topological Data Analysis
nel ciclo di seminari: GEOMETRIA E DEEP LEARNING

seminario di algebra e geometria

In this talk we will briefly introduce a general mathematical framework for group equivariance in the machine learning context. The framework builds on a synergy between persistent homology and the theory of group actions. Our focus will be on illustrating some methods to build Goup Equivariant Non-Expansive Operators (GENEOs), which are maps between function spaces associated with groups of transformations. The development of these techniques will give us the opportunity to obtain a better approximation of thetopological space of all GENEOs.

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