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Nicola Quercioli: Group equivariant non-expansive operators for data analysis and machine learning

Time: Mon 2019-12-02 15.15 - 16.15

Location: KTH, F11

Participating: Nicola Quercioli, University of Bologna

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In this talk we will 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 showing the topological and metric properties of the space of group equivariant non-expansive operators (GENEOs), which are maps between function spaces associated with groups of transformations.