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Patrizio Frosini

Associate Professor

Department of Mathematics

Academic discipline: MAT/03 Geometry

Publications

Frosini, Patrizio; Gridelli, Ivan; Pascucci, Andrea, A Probabilistic Result on Impulsive Noise Reduction in Topological Data Analysis through Group Equivariant Non-Expansive Operators, «ENTROPY», 2023, 25, Article number: 1150 , pp. 1 - 28 [Scientific article]Open Access

Ferrari L.; Frosini P.; Quercioli N.; Tombari F., A topological model for partial equivariance in deep learning and data analysis, «FRONTIERS IN ARTIFICIAL INTELLIGENCE», 2023, 6, pp. 1 - 11 [Scientific article]Open Access

Ahmad F.; Ferri M.; Frosini P., Generalized Permutants and Graph GENEOs, «MACHINE LEARNING AND KNOWLEDGE EXTRACTION», 2023, 5, pp. 1905 - 1920 [Scientific article]Open Access

Ethier M.; Frosini P.; Quercioli N.; Tombari F., Geometry of the matching distance for 2D filtering functions, «JOURNAL OF APPLIED AND COMPUTATIONAL TOPOLOGY», 2023, 7, pp. 815 - 830 [Scientific article]Open Access

Bocchi G.; Botteghi S.; Brasini M.; Frosini P.; Quercioli N., On the finite representation of linear group equivariant operators via permutant measures, «ANNALS OF MATHEMATICS AND OF ARTIFICIAL INTELLIGENCE», 2023, 91, pp. 465 - 487 [Scientific article]Open Access

Frosini P.; Giorgi D.; Melzi S.; Rodola E., Foreword to the Special Section on Smart Tools and Applications in Graphics (STAG 2021), in: Special Section on STAG 2021, Amsterdam, Elsevier, 2022, pp. 12 - 13 [Preface]

Conti, Francesco; Frosini, Patrizio; Quercioli, Nicola, On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions, «FRONTIERS IN ARTIFICIAL INTELLIGENCE», 2022, 5, Article number: 786091 , pp. 1 - 11 [Scientific article]Open Access

Cerri A.; Frosini P., A Brief Introduction to Multidimensional Persistent Betti Numbers, in: Topological Dynamics and Topological Data Analysis, Springer, 2021, 350, pp. 215 - 228 (atti di: 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018, Kochi, India, December 9–11, 2018) [Contribution to conference proceedings]Open Access

Frosini P., An Introduction to the Notion of Natural Pseudo-distance in Topological Data Analysis, in: Topological Dynamics and Topological Data Analysis, Springer, 2021, 350, pp. 203 - 213 (atti di: 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018, Kochi, India, December 9–11, 2018) [Contribution to conference proceedings]Open Access

Andrea Cerri; Patrizio Frosini, A New Approximation Algorithm for the Matching Distance in Multidimensional Persistence, «JOURNAL OF COMPUTATIONAL MATHEMATICS», 2020, 38, pp. 291 - 309 [Scientific article]

Cerri, Andrea; Ethier, Marc; Frosini, Patrizio, On the geometrical properties of the coherent matching distance in 2D persistent homology, «JOURNAL OF APPLIED AND COMPUTATIONAL TOPOLOGY», 2019, 3, pp. 381 - 422 [Scientific article]Open Access

Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo, The persistent homotopy type distance, «HOMOLOGY, HOMOTOPY AND APPLICATIONS», 2019, 21, pp. 231 - 259 [Scientific article]Open Access

Bergomi, Mattia G.; Frosini, Patrizio; Giorgi, Daniela; Quercioli, Nicola, Towards a topological–geometrical theory of group equivariant non-expansive operators for data analysis and machine learning, «NATURE MACHINE INTELLIGENCE», 2019, 1, pp. 423 - 433 [Scientific article]Open Access

Camporesi, Francesco; Frosini, Patrizio; Quercioli, Nicola*, On a new method to build group equivariant operators by means of permutants, in: MACHINE LEARNING AND KNOWLEDGE EXTRACTION, CD-MAKE 2018, Cham, Springer Verlag, 2018, 11015, pp. 265 - 272 (atti di: 2nd International Cross-Domain Conference for Machine Learning and Knowledge Extraction, CD-MAKE 2018, Hamburg, Germany, 2018) [Contribution to conference proceedings]Open Access

Frosini, Patrizio; Quercioli, Nicola, Some Remarks on the Algebraic Properties of Group Invariant Operators in Persistent Homology, in: Machine Learning and Knowledge Extraction, CD-MAKE 2017, Cham, Springer International Publishing, 2017, 10410, pp. 14 - 24 (atti di: First IFIP TC 5, WG 8.4, 8.9, 12.9 International Cross-Domain Conference, CD-MAKE 2017, Reggio di Calabria, 29 Agosto-1 Settembre 2017) [Contribution to conference proceedings]Open Access

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