Results 21 to 30 of about 7,842 (187)

Hyperlink regression via Bregman divergence [PDF]

open access: yesNeural Networks, 2020
41 pages, 14 ...
Akifumi Okuno, Hidetoshi Shimodaira
openaire   +3 more sources

Maximizing the Bregman divergence from a Bregman family [PDF]

open access: yesKybernetika, 2020
11 pages, 5 theorems, no ...
Rauh, Johannes, Matúš, František
openaire   +4 more sources

Bregman divergences for physically informed discrepancy measures for learning and computation in thermomechanics

open access: yesComptes Rendus. Mécanique, 2023
With view on the context of convex thermomechanics, we propose tools based on the concept of Bregman divergence, a notion introduced in the 1960s and used in learning and optimization as well. This study is motivated by the need of “discrepancy measures”
Andrieux, Stéphane
doaj   +1 more source

On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds

open access: yesEntropy, 2020
We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
doaj   +1 more source

An Objective Prior from a Scoring Rule

open access: yesEntropy, 2021
In this paper, we introduce a novel objective prior distribution levering on the connections between information, divergence and scoring rules. In particular, we do so from the starting point of convex functions representing information in density ...
Stephen G. Walker, Cristiano Villa
doaj   +1 more source

Burkholder inequality by Bregman divergence

open access: yesBulletin of the Polish Academy of Sciences Mathematics, 2022
We updated a reference, corrected constants c_p and C_p, and made small editorial changes.
Bogdan, Krzysztof, Więcek, Mateusz
openaire   +2 more sources

Minimax quantum state estimation under Bregman divergence [PDF]

open access: yesQuantum, 2019
We investigate minimax estimators for quantum state tomography under general Bregman divergences. First, generalizing the work of Koyama et al. [Entropy 19, 618 (2017)] for relative entropy, we find that given any estimator for a quantum state, there ...
Maria Quadeer   +2 more
doaj   +1 more source

A Characterization of the Domain of Beta-Divergence and Its Connection to Bregman Variational Model

open access: yesEntropy, 2017
In image and signal processing, the beta-divergence is well known as a similarity measure between two positive objects. However, it is unclear whether or not the distance-like structure of beta-divergence is preserved, if we extend the domain of the beta-
Hyenkyun Woo
doaj   +1 more source

Hessian geometric structure of chemical thermodynamic systems with stoichiometric constraints

open access: yesPhysical Review Research, 2022
We establish a Hessian geometric structure in chemical thermodynamics, which describes chemical reaction networks (CRNs) with equilibrium states. In our setup, the ideal gas assumption and mass action kinetics are not required.
Yuki Sughiyama   +3 more
doaj   +1 more source

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