Patrizio Frosini

Orcid: 0000-0001-6711-1926

Affiliations:
  • University of Bologna, Italy


According to our database1, Patrizio Frosini authored at least 59 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A novel approach to graph distinction through GENEOs and permutants.
CoRR, 2024

A geometric XAI approach to protein pocket detection.
Proceedings of the Joint Proceedings of the xAI 2024 Late-breaking Work, 2024

2023
Generalized Permutants and Graph GENEOs.
Mach. Learn. Knowl. Extr., December, 2023

Geometry of the matching distance for 2D filtering functions.
J. Appl. Comput. Topol., December, 2023

A Probabilistic Result on Impulsive Noise Reduction in Topological Data Analysis through Group Equivariant Non-Expansive Operators.
Entropy, August, 2023

On the finite representation of linear group equivariant operators via permutant measures.
Ann. Math. Artif. Intell., August, 2023

A topological model for partial equivariance in deep learning and data analysis.
Frontiers Artif. Intell., February, 2023

Low-Resource White-Box Semantic Segmentation of Supporting Towers on 3D Point Clouds via Signature Shape Identification.
CoRR, 2023

2022
On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions.
Frontiers Artif. Intell., 2022

A probabilistic result on impulsive noise reduction through Group Equivariant Non-Expansive Operators.
CoRR, 2022

GENEOnet: A new machine learning paradigm based on Group Equivariant Non-Expansive Operators. An application to protein pocket detection.
CoRR, 2022

Foreword to the Special Section on Smart Tools and Applications in Graphics (STAG 2021).
Comput. Graph., 2022

2021
On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators.
CoRR, 2021

2020
On the finite representation of group equivariant operators via permutant measures.
CoRR, 2020

Parametric machines: a fresh approach to architecture search.
CoRR, 2020

2019
Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learning.
Nat. Mach. Intell., 2019

On the geometrical properties of the coherent matching distance in 2D persistent homology.
J. Appl. Comput. Topol., 2019

2018
On a New Method to Build Group Equivariant Operators by Means of Permutants.
Proceedings of the Machine Learning and Knowledge Extraction, 2018

2017
The Persistent Homotopy Type Distance.
CoRR, 2017

Some Remarks on the Algebraic Properties of Group Invariant Operators in Persistent Homology.
Proceedings of the Machine Learning and Knowledge Extraction, 2017

2016
Combining Persistent Homology and Invariance Groups for Shape Comparison.
Discret. Comput. Geom., 2016

Position paper: Towards an observer-oriented theory of shape comparison.
CoRR, 2016

The Coherent Matching Distance in 2D Persistent Homology.
Proceedings of the Computational Topology in Image Context - 6th International Workshop, 2016

Towards an Observer-oriented Theory of Shape Comparison.
Proceedings of the 9th Eurographics Workshop on 3D Object Retrieval, 2016

2014
Special section on computational topology in image context.
Comput. Vis. Image Underst., 2014

2013
Corrigendum to "Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval".
Pattern Recognit. Lett., 2013

Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval.
Pattern Recognit. Lett., 2013

Filtrations induced by continuous functions
CoRR, 2013

Comparison of persistent homologies for vector functions: From continuous to discrete and back.
Comput. Math. Appl., 2013

A Study of Monodromy in the Computation of Multidimensional Persistence.
Proceedings of the Discrete Geometry for Computer Imagery, 2013

2012
G-invariant Persistent Homology
CoRR, 2012

2011
A new algorithm for computing the 2-dimensional matching distance between size functions.
Pattern Recognit. Lett., 2011

No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes to the limit.
Appl. Math. Lett., 2011

A Global Method for Reducing Multidimensional Size Graphs.
Proceedings of the Graph-Based Representations in Pattern Recognition, 2011

2010
3D relevance feedback via multilevel relevance judgements.
Vis. Comput., 2010

Uniqueness of models in persistent homology: the case of curves
CoRR, 2010

Stable comparison of multidimensional persistent homology groups with torsion
CoRR, 2010

Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
CoRR, 2010

Stability of multidimensional persistent homology with respect to domain perturbations
CoRR, 2010

2009
Does intelligence imply contradiction?
Cogn. Syst. Res., 2009

Multilevel Relevance Feedback for 3D Shape Retrieval.
Proceedings of the 2nd Eurographics Workshop on 3D Object Retrieval, 2009

2008
Multidimensional Size Functions for Shape Comparison.
J. Math. Imaging Vis., 2008

Describing shapes by geometrical-topological properties of real functions.
ACM Comput. Surv., 2008

Necessary Conditions for Discontinuities of Multidimensional Size Functions
CoRR, 2008

Natural pseudo-distance and optimal matching between reduced size functions
CoRR, 2008

2007
Keypics: Free-Hand Drawn Iconic Keywords.
Int. J. Shape Model., 2007

3D Shape Description and Matching Based on Properties of Real Functions.
Proceedings of the 28th Annual Conference of the European Association for Computer Graphics, 2007

2006
Using matching distance in size theory: A survey.
Int. J. Imaging Syst. Technol., 2006

A global reduction method for multidimensional size graphs.
Electron. Notes Discret. Math., 2006

Stability in multidimensional Size Theory
CoRR, 2006

2004
The Use of Size Functions for Comparison of Shapes Through Differential Invariants.
J. Math. Imaging Vis., 2004

2002
A note on the representability of compact sets by real sequences.
Appl. Math. Lett., 2002

2001
Size Functions and Formal Series.
Appl. Algebra Eng. Commun. Comput., 2001

2000
Image Retrieval through Abstract Shape Indication.
Proceedings of the IAPR Conference on Machine Vision Applications (IAPR MVA 2000), 2000

1999
New methods for reducing size graphs.
Int. J. Comput. Math., 1999

Deformation Energy for Size Functions.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 1999

1998
Point Selection: A New Comparison Scheme for Size Functions (With an Application to Monogram Recognition).
Proceedings of the Computer Vision, 1998

Sketch Up: Towards Qualitative Shape Data Management.
Proceedings of the Computer Vision, 1998

1993
On the use of size functions for shape analysis.
Biol. Cybern., 1993


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