3 citations · 5 across the 11 of their papers we have counts for
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Some new methods to build group equivariant non-expansive operators in TDA
Nicola Quercioli
Group equivariant operators are playing a more and more relevant role in machine learning and topological data analysis. In this paper we present some new results concerning the co…
On the finite representation of group equivariant operators via permutant measures
Giovanni Bocchi, Stefano Botteghi, Martina Brasini +2
The study of -equivariant operators is of great interest to explain and understand the architecture of neural networks. In this paper we show that each linear -equivariant op…
Landscapes of data sets and functoriality of persistent homology
Wojciech Chacholski, Alessandro De Gregorio, Nicola Quercioli +1
The aim of this article is to describe a new perspective on functoriality of persistent homology and explain its intrinsic symmetry that is often overlooked. A data set for us is a…