Patrizio Frosini | DeepAI

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Cláudia Soares
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Alessandra Micheletti
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Mattia G. Bergomi
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Claudia Landi
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Pietro Vertechi
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Pasquale Cascarano
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Massimo Ferri
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Carmine Talarico
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Nicola Quercioli
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Andrea Cerri
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∙ 08/25/2023

A topological model for partial equivariance in deep learning and data analysis

In this article, we propose a topological model to encode partial equiva...

0 Lucia Ferrari, et al. ∙

∙ 06/13/2023

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

Research in 3D semantic segmentation has been increasing performance met...

0 Diogo Lavado, et al. ∙

∙ 06/29/2022

Generalized Permutants and Graph GENEOs

In this paper we establish a bridge between Topological Data Analysis an...

0 Faraz Ahmad, et al. ∙

∙ 02/28/2022

A probabilistic result on impulsive noise reduction in Topological Data Analysis through Group Equivariant Non-Expansive Operators

In recent years, group equivariant non-expansive operators (GENEOs) have...

0 Patrizio Frosini, et al. ∙

∙ 01/31/2022

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

Nowadays there is a big spotlight cast on the development of techniques ...

0 Giovanni Bocchi, et al. ∙

∙ 03/03/2021

On the geometric and Riemannian structure of the spaces of group equivariant non-expansive operators

Group equivariant non-expansive operators have been recently proposed as...

0 Pasquale Cascarano, et al. ∙

∙ 07/06/2020

Parametric machines: a fresh approach to architecture search

Using tools from category theory, we provide a framework where artificia...

0 Pietro Vertechi, et al. ∙

∙ 12/31/2018

Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learning

The aim of this paper is to provide a general mathematical framework for...

0 Mattia G. Bergomi, et al. ∙

∙ 01/20/2018

On the geometrical properties of the coherent matching distance in 2D persistent homology

In this paper we study a new metric for comparing Betti numbers function...

0 Andrea Cerri, et al. ∙

∙ 03/07/2016

Position paper: Towards an observer-oriented theory of shape comparison

In this position paper we suggest a possible metric approach to shape co...

0 Patrizio Frosini, et al. ∙

∙ 12/27/2013

Combining persistent homology and invariance groups for shape comparison

In many applications concerning the comparison of data expressed by R^m-...

0 Patrizio Frosini, et al. ∙

∙ 12/04/2012

G-invariant Persistent Homology

Classical persistent homology is a powerful mathematical tool for shape ...

0 Patrizio Frosini, et al. ∙

∙ 11/12/2008

Necessary Conditions for Discontinuities of Multidimensional Size Functions

Some new results about multidimensional Topological Persistence are pres...

0 Andrea Cerri, et al. ∙

∙ 08/02/2006

Stability in multidimensional Size Theory

This paper proves that in Size Theory the comparison of multidimensional...

0 Andrea Cerri, et al. ∙

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