Nicola Quercioli

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All published works

Action	Title	Year	Authors
+ PDF Chat	A topological model for partial equivariance in deep learning and data analysis	2023	Lucia Ferrari Patrizio Frosini Nicola Quercioli Francesca Tombari
+ PDF Chat	Geometry of the matching distance for 2D filtering functions	2023	Marc Ethier Patrizio Frosini Nicola Quercioli Francesca Tombari
+	A topological model for partial equivariance in deep learning and data analysis	2023	Lucia Ferrari Patrizio Frosini Nicola Quercioli Francesca Tombari
+	Computation of the 2-parameter matching distance via the extended Pareto grid	2023	Patrizio Frosini Eloy Mósig García Nicola Quercioli Francesca Tombari
+	Geometry of the matching distance for 2D filtering functions	2022	Marc Ethier Patrizio Frosini Nicola Quercioli Francesca Tombari
+	On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators.	2021	Pasquale Cascarano Patrizio Frosini Nicola Quercioli Amir Saki
+ PDF Chat	Some New Methods to Build Group Equivariant Non-expansive Operators in TDA	2021	Nicola Quercioli
+	On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators	2021	Pasquale Cascarano Patrizio Frosini Nicola Quercioli Amir Saki
+	Some new methods to build group equivariant non-expansive operators in TDA	2020	Nicola Quercioli
+	On the finite representation of group equivariant operators via permutant measures.	2020	Stefano Botteghi Martina Brasini Patrizio Frosini Nicola Quercioli
+	Landscapes of data sets and functoriality of persistent homology	2020	Wojciech Chachólski Alessandro De Gregorio Nicola Quercioli Francesca Tombari
+	Some new methods to build group equivariant non-expansive operators in TDA	2020	Nicola Quercioli
+	On the finite representation of group equivariant operators via permutant measures	2020	Giovanni Bocchi Stefano Botteghi Martina Brasini Patrizio Frosini Nicola Quercioli
+ PDF Chat	Towards a topological–geometrical theory of group equivariant non-expansive operators for data analysis and machine learning	2019	Mattia G. Bergomi Patrizio Frosini Daniela Giorgi Nicola Quercioli
+	Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learning	2018	Mattia G. Bergomi Patrizio Frosini Daniela Giorgi Nicola Quercioli
+ PDF Chat	On a New Method to Build Group Equivariant Operators by Means of Permutants	2018	Francesco Camporesi Patrizio Frosini Nicola Quercioli
+	Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learning	2018	Mattia G. Bergomi Patrizio Frosini Daniela Giorgi Nicola Quercioli
+ PDF Chat	Some Remarks on the Algebraic Properties of Group Invariant Operators in Persistent Homology	2017	Patrizio Frosini Nicola Quercioli

Common Coauthors

Coauthor	Papers Together
Patrizio Frosini	14
Francesca Tombari	6
Mattia G. Bergomi	3
Daniela Giorgi	3
Lucia Ferrari	2
Marc Ethier	2
Pasquale Cascarano	2
Amir Saki	2
Martina Brasini	2
Stefano Botteghi	2
Francesco Camporesi	1
Eloy Mósig García	1
Alessandro De Gregorio	1
Giovanni Bocchi	1
Wojciech Chachólski	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The theory of multidimensional persistence	2007	Gunnar Carlsson Afra Zomorodian	4
+	On invariance and selectivity in representation learning	2016	Fabio Anselmi Lorenzo Rosasco Tomaso Poggio	4
+ PDF Chat	Towards a topological–geometrical theory of group equivariant non-expansive operators for data analysis and machine learning	2019	Mattia G. Bergomi Patrizio Frosini Daniela Giorgi Nicola Quercioli	4
+ PDF Chat	Harmonic Networks: Deep Translation and Rotation Equivariance	2017	Daniel E. Worrall Stephan J. Garbin Daniyar Turmukhambetov Gabriel Brostow	4
+ PDF Chat	Some Remarks on the Algebraic Properties of Group Invariant Operators in Persistent Homology	2017	Patrizio Frosini Nicola Quercioli	4
+ PDF Chat	Persistent Homology: Theory and Practice	2013	Herbert Edelsbrunner Dmitriy Morozov	4
+	Persistent homology—a survey	2008	Herbert Edelsbrunner John Harer	4
+ PDF Chat	Combining Persistent Homology and Invariance Groups for Shape Comparison	2016	Patrizio Frosini Grzegorz Jabłoński	4
+ PDF Chat	Betti numbers in multidimensional persistent homology are stable functions	2013	Andrea Cerri Barbara Di Fabio Massimo Ferri Patrizio Frosini Claudia Landi	4
+	Persistent Homology: Theory and Practice	2013	Herbert Edelsbrunner Dmitriy Morozov	3
+ PDF Chat	Representation Learning: A Review and New Perspectives	2013	Yoshua Bengio Aaron Courville P. M. Durai Raj Vincent	3
+ PDF Chat	Understanding deep convolutional networks	2016	Stéphane Mallat	3
+ PDF Chat	Group Invariant Scattering	2012	Stéphane Mallat	3
+ PDF Chat	Rotation Equivariant Vector Field Networks	2017	Diego Marcos Michele Volpi Nikos Komodakis Devis Tuia	3
+ PDF Chat	Geodesic Convolutional Neural Networks on Riemannian Manifolds	2015	Jonathan Masci Davide Boscaini Michael M. Bronstein Pierre Vandergheynst	3
+ PDF Chat	Extracting insights from the shape of complex data using topology	2013	Pek Yee Lum Satwinder Singh Amy Lehman T. Ishkanov Mikael Vejdemo‐Johansson Muthuraman Alagappan John Gunnar Carlsson Gunnar Carlsson	2
+ PDF Chat	Does intelligence imply contradiction?	2008	Patrizio Frosini	2
+ PDF Chat	The Theory of Multidimensional Persistence	2009	Gunnar Carlsson Afra Zomorodian	2
+	Persistence Images: A Stable Vector Representation of Persistent Homology	2015	Henry Adams Tegan Emerson Michael Kirby Rachel Neville Chris Peterson Patrick D. Shipman Sofya Chepushtanova Eric Hanson Francis C. Motta Lori Ziegelmeier	2
+ PDF Chat	On a New Method to Build Group Equivariant Operators by Means of Permutants	2018	Francesco Camporesi Patrizio Frosini Nicola Quercioli	2
+	Point convolutional neural networks by extension operators	2018	Matan Atzmon Haggai Maron Yaron Lipman	1
+ PDF Chat	On the geometrical properties of the coherent matching distance in 2D persistent homology	2019	Andrea Cerri Marc Ethier Patrizio Frosini	1
+ PDF Chat	Exposition and Interpretation of the Topology of Neural Networks	2019	Rickard Brüel Gabrielsson Gunnar Carlsson	1
+	Algebraic topology	2001	Allen Hatcher	1
+ PDF Chat	Persistent-Homology-Based Machine Learning and Its Applications -- A Survey	2018	Chi Seng Pun Kelin Xia Si Xian Lee	1
+	Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges	2021	Michael M. Bronstein Joan Bruna Taco Cohen Petar Veličković	1
+ PDF Chat	Some New Methods to Build Group Equivariant Non-expansive Operators in TDA	2021	Nicola Quercioli	1
+ PDF Chat	Multidimensional Persistence and Noise	2016	Martina Scolamiero Wojciech Chachólski Anders Lundman Ryan Ramanujam Sebastian Öberg	1
+	GENEOnet: A new machine learning paradigm based on Group Equivariant Non-Expansive Operators. An application to protein pocket detection	2022	Giovanni Bocchi Patrizio Frosini Alessandra Micheletti Alessandro Pedretti Carmen Gratteri Filippo Lunghini Andrea R. Beccari Carmine Talarico	1
+	Relaxing Equivariance Constraints with Non-stationary Continuous Filters	2022	Tycho F. A. van der Ouderaa David W. Romero Mark van der Wilk	1
+	Learning Partial Equivariances from Data	2021	David W. Romero Suhas Lohit	1
+	On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators	2021	Pasquale Cascarano Patrizio Frosini Nicola Quercioli Amir Saki	1
+	Homotopy Theoretic Methods in Group Cohomology	2001	W. G. Dwyer Hans-Werner Henn	1
+ PDF Chat	A Probabilistic Result on Impulsive Noise Reduction in Topological Data Analysis through Group Equivariant Non-Expansive Operators	2023	Patrizio Frosini Ivan Gridelli Andrea Pascucci	1
+	Size homotopy groups for computation of natural size distances	1999	Patrizio Frosini Michele Mulazzani	1
+	Convolutional Neural Networks for Sentence Classification	2014	Yoon Kim	1
+	Clique topology reveals intrinsic geometric structure in neural correlations	2015	Chad Giusti Eva Pastalkova Carina Curto Vladimir Itskov	1
+	Natural pseudodistances between closed manifolds	2004	Pietro Donatini Patrizio Frosini	1
+ PDF Chat	Natural Pseudo-Distance and Optimal Matching between Reduced Size Functions	2008	Michele D’Amico Patrizio Frosini Claudia Landi	1
+ PDF Chat	Filtrations induced by continuous functions	2013	Barbara Di Fabio Patrizio Frosini	1
+ PDF Chat	Stability of Persistence Diagrams	2006	David Cohen‐Steiner Herbert Edelsbrunner John Harer	1
+	An improvement of the Arzela–Ascoli theorem	2012	Ronglu Li Shuhui Zhong Charles Swartz	1
+	Morse theory for two functions	1975	Y. H. Wan	1
+	Homotopy colimits in the category of small categories	1979	R. W. Thomason	1
+ PDF Chat	The Theory of the Interleaving Distance on Multidimensional Persistence Modules	2015	Michael Lesnick	1
+ PDF Chat	Extending Persistence Using Poincaré and Lefschetz Duality	2009	David Cohen‐Steiner Herbert Edelsbrunner John Harer	1
+ PDF Chat	<i>G</i> -invariant persistent homology	2014	Patrizio Frosini	1
+ PDF Chat	Geometric Deep Learning: Going beyond Euclidean data	2017	Michael M. Bronstein Joan Bruna Yann LeCun Arthur Szlam Pierre Vandergheynst	1
+	On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups	2018	Risi Kondor Shubhendu Trivedi	1
+	Exposition and Interpretation of the Topology of Neural Networks.	2018	Rickard Brüel Gabrielsson Gunnar Carlsson	1