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Patrizio Frosini

Professore associato

Dipartimento di Matematica

Settore scientifico disciplinare: MAT/03 GEOMETRIA

Pubblicazioni

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, pp. 1150 - 1177 [articolo]

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 [articolo]Open Access

Cerri A.; Frosini P., A Brief Introduction to Multidimensional Persistent Betti Numbers, in: Topological Dynamics and Topological Data Analysis, Springer, «SPRINGER PROCEEDINGS IN MATHEMATICS & STATISTICS», 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) [Contributo in Atti di convegno]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, «SPRINGER PROCEEDINGS IN MATHEMATICS & STATISTICS», 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) [Contributo in Atti di convegno]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 [articolo]

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 [articolo]Open Access

Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo, The persistent homotopy type distance, «HOMOLOGY, HOMOTOPY AND APPLICATIONS», 2019, 21, pp. 231 - 259 [articolo]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 [articolo]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, «LECTURE NOTES IN COMPUTER SCIENCE», 2018, 11015, pp. 265 - 272 (atti di: 2nd International Cross-Domain Conference for Machine Learning and Knowledge Extraction, CD-MAKE 2018, Hamburg, Germany, 2018) [Contributo in Atti di convegno]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, «LECTURE NOTES IN COMPUTER SCIENCE», 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) [Contributo in Atti di convegno]Open Access

Frosini, Patrizio; Jabłoński, Grzegorz, Combining Persistent Homology and Invariance Groups for Shape Comparison, «DISCRETE & COMPUTATIONAL GEOMETRY», 2016, 55, pp. 373 - 409 [articolo]Open Access

Cerri, Andrea; Ethier, Marc; Frosini, Patrizio, The Coherent Matching Distance in 2D Persistent Homology, in: Computational Topology in Image Context, Springer International Publishing, «LECTURE NOTES IN COMPUTER SCIENCE», 2016, 9667, pp. 216 - 227 (atti di: 6th International Workshop on Computational Topology in Image Context, Marsiglia (Francia), 15-17 Giugno 2016) [Contributo in Atti di convegno]

Patrizio Frosini, Towards an observer-oriented theory of shape comparison, in: Proceedings of the 8th Eurographics Workshop on 3D Object Retrieval, The Eurographics Association, 2016, pp. 5 - 8 (atti di: Eurographics Workshop on 3D Object Retrieval, Lisbona (Portogallo), 7-8 Maggio 2016) [Contributo in Atti di convegno]

Patrizio Frosini, G-invariant persistent homology, «MATHEMATICAL METHODS IN THE APPLIED SCIENCES», 2015, 38, pp. 1190 - 1199 [articolo]

Andrea Cerri;Patrizio Frosini, Necessary conditions for discontinuities of multidimensional persistent Betti numbers, «MATHEMATICAL METHODS IN THE APPLIED SCIENCES», 2015, 38, pp. 617 - 629 [articolo]

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