304 citations
- University of TurinIT160 papers
- Politecnico di TorinoIT60 papers
- Italian institute for Genomic MedicineIT36 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TorinoIT34 papers
- Centre National de la Recherche ScientifiqueFR17 papers
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26 papers · 1 filter
Affine calculus for constrained minima of the Kullback-Leibler divergence
Giovanni Pistone
The non-parametric version of Amari's dually affine Information Geometry provides a practical calculus to perform computations of interest in statistical machine learning. The meth…
Smoothing distributions for conditional Fleming-Viot and Dawson-Watanabe diffusions
Filippo Ascolani, Antonio Lijoi, Matteo Ruggiero
We study the distribution of the unobserved states of two measure-valued diffusions of Fleming-Viot and Dawson-Watanabe type, conditional on observations from the underlying popula…
Lagrangian and Hamiltonian Mechanics for Probabilities on the Statistical Manifold
Goffredo Chirco, Luigi Malagò, Giovanni Pistone
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-fl…
Polynomial traces and elementary symmetric functions in the latent roots of a non-central Wishart matrix
E. Di Nardo
Hypergeometric functions and zonal polynomials are the tools usually addressed in the literature to deal with the expected value of the elementary symmetric functions in non-centra…
Posterior asymptotics in Wasserstein metrics on the real line
Minwoo Chae, Pierpaolo De Blasi, Stephen G. Walker
In this paper, we use the class of Wasserstein metrics to study asymptotic properties of posterior distributions. Our first goal is to provide sufficient conditions for posterior c…
A Model-Based Fuzzy Analysis of Questionnaires
Elvira Di Nardo, Rosaria Simone
In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standar…