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pro vyhledávání: '"Pistone, Giovanni"'
Autor:
Pistone, Giovanni
The dually flat structure of statistical manifolds can be derived in a non-parametric way from a particular case of affine space defined on a qualified set of probability measures. The statistically natural displacement mapping of the affine space de
Externí odkaz:
http://arxiv.org/abs/2210.07641
Autor:
Chirco, Goffredo, Pistone, Giovanni
In this chapter, we study Information Geometry from a particular non-parametric or functional point of view. The basic model is a probabilities subset usually specified by regularity conditions. For example, probability measures mutually absolutely c
Externí odkaz:
http://arxiv.org/abs/2204.00917
Autor:
Khoj, Lugain, Zagà, Vincenzo, Amram, Daniel L., Hosein, Karishma, Pistone, Giovanni, Bisconti, Mario, Serafini, Antonella, Cammarata, Liborio M., Cattaruzza, Maria Sofia, Mura, Marco
Publikováno v:
In Respiratory Medicine January 2024 221
Autor:
Pistone, Giovanni
This is a revised version of a tutorial lecture that I presented at the \`Ecole de Physique des Houches on July 26-31 2020. Topics include Non-parametric Information Geometry, the Statistical bundle, exponential Orlicz spaces, and Gaussian Orlicz-Sob
Externí odkaz:
http://arxiv.org/abs/2012.03376
Publikováno v:
International Journal of Geometric Methods in Modern Physics, 2022, 2250214
We provide an Information-Geometric formulation of Classical Mechanics on the Riemannian manifold of probability distributions, which is an affine manifold endowed with a dually-flat connection. In a non-parametric formalism, we consider the full set
Externí odkaz:
http://arxiv.org/abs/2009.09431
Autor:
Pistone, Giovanni
We derive bounds for the Orlicz norm of the deviation of a random variable defined on $\mathbb{R}^n$ from its Gaussian mean value. The random variables are assumed to be smooth and the bound itself depends on the Orlicz norm of the gradient. Applicat
Externí odkaz:
http://arxiv.org/abs/2002.12871
In Optimal Transport (OT) on a finite metric space, one defines a distance on the probability simplex that extends the distance on the ground space. The distance is the value of a Linear Programming (LP) problem on the set of non-negative-valued 2-wa
Externí odkaz:
http://arxiv.org/abs/2002.10335
Autor:
Pistone, Giovanni
This set of notes is intended for a short course aiming to provide an (almost) self-contained and (almost) elementary introduction to the topic of Information Geometry (IG) of the probability simplex. Such a course can be considered an introduction t
Externí odkaz:
http://arxiv.org/abs/1911.01876
Autor:
Belfiore, Norma, Bernardi, Cristina, Gabini, Marco, Bettio, Silvano, Brucato, Antonio, Italiano, Giovanni, Cantatore, Francesco Paolo, Iacono, Daniela, Pantano, Ilenia, Tirri, Enrico, Ursini, Francesco, Monaco, Andrea Lo, Caso, Francesco, Quartuccio, Luca, Chimenti, Maria Sole, Gattamelata, Angelica, Gremese, Elisa, Paroli, Marino, Picchianti-Diamanti, Andrea, Sebastiani, Gian Domenico, Favalli, Ennio, Sulli, Alberto, Frassi, Micol, Faggioli, Paola, Foti, Rosario, Campochiaro, Corrado, Cavalli, Giulio, Tomelleri, Alessandro, Manara, Maria, De Stefano, Ludovico, De Angelis, Rossella, Parisi, Simone, Lopalco, Giuseppe, Piga, Matteo, Marotto, Daniela, Colaci, Michele, Padula, Angela, Guggino, Giuliana, Emmi, Giacomo, Baldini, Chiara, Sota, Jurgen, Vitale, Antonio, Berti, Alvise, Bartoloni, Elena, Grava, Chiara, Bindoli, Sara, Vitetta, Rosetta, Giacomelli, Roberto, Caporali, Roberto, Ciccia, Francesco, Colafrancesco, Serena, Dagna, Lorenzo, Govoni, Marcello, Iannone, Florenzo, Leccese, Pietro, Montecucco, Carlomaurizio, Pappagallo, Giovanni, Pistone, Giovanni, Priori, Roberta, Ruscitti, Piero, Sfriso, Paolo, Cantarini, Luca
Publikováno v:
In Autoimmunity Reviews December 2023 22(12)