Some Remarks on the Algebraic Properties of Group Invariant Operators in Persistent Homology. - Patrizio Frosini; Nicola Quercioli (CD-MAKE, 2017)

On a New Method to Build Group Equivariant Operators by Means of Permutants. - Francesco Camporesi; Patrizio Frosini; Nicola Quercioli (CD-MAKE, 2018)

Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learning. - Mattia G. Bergomi; Patrizio Frosini; Daniela Giorgi; Nicola Quercioli (Nat. Mach. Intell., 2019)

On the finite representation of group equivariant operators via permutant measures. - Stefano Botteghi; Martina Brasini; Patrizio Frosini; Nicola Quercioli (CoRR, 2020)

On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators. - Pasquale Cascarano; Patrizio Frosini; Nicola Quercioli; Amir Saki (CoRR, 2021)

On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions. - Francesco Conti 004; Patrizio Frosini; Nicola Quercioli (Frontiers Artif. Intell., 2022)

A topological model for partial equivariance in deep learning and data analysis. - Lucia Ferrari; Patrizio Frosini; Nicola Quercioli; Francesca Tombari (Frontiers Artif. Intell., 2023)

On the finite representation of linear group equivariant operators via permutant measures. - Giovanni Bocchi; Stefano Botteghi; Martina Brasini; Patrizio Frosini; Nicola Quercioli (Ann. Math. Artif. Intell., 2023)

Geometry of the matching distance for 2D filtering functions. - Marc Ethier; Patrizio Frosini; Nicola Quercioli; Francesca Tombari (J. Appl. Comput. Topol., 2023)

Matching Distance via the Extended Pareto Grid. - Patrizio Frosini; Eloy Mósig García; Nicola Quercioli; Francesca Tombari (SIAM J. Appl. Algebra Geom., 2025)

Reconstruction of Sparse Urban Wireless Signals via Group Equivariant Non-Expansive Operators. - Lorenzo Mario Amorosa; Francesco Conti 004; Nicola Quercioli; Flavio Zabini; Tayebeh Lotfi Mahyari; Yiqun Ge; Patrizio Frosini (CoRR, 2025)