Results 31 to 40 of about 7,890 (182)
Hessian geometric structure of chemical thermodynamic systems with stoichiometric constraints
Physical 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
Bregman Voronoi Diagrams: Properties, Algorithms and Applications [PDF]
, 2007 The Voronoi diagram of a finite set of objects is a fundamental geometric structure that subdivides the embedding space into regions, each region consisting of the points that are closer to a given object than to the others.
A. Banerjee +33 more
core +9 more sources
Parametric Bayesian Estimation of Differential Entropy and Relative Entropy
Entropy, 2010 Given iid samples drawn from a distribution with known parametric form, we propose the minimization of expected Bregman divergence to form Bayesian estimates of differential entropy and relative entropy, and derive such estimators for the uniform ...
Maya Gupta, Santosh Srivastava
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Preconditioner Design via the Bregman Divergence
CoRR, 2023 We study a preconditioner for a Hermitian positive definite linear system, which is obtained as the solution of a matrix nearness problem based on the Bregman log determinant divergence. The preconditioner is of the form of a Hermitian positive definite matrix plus a low-rank matrix.
Andreas A. Bock, Martin S. Andersen 0001
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Generalized Bregman Divergence and Gradient of Mutual Information for Vector Poisson Channels [PDF]
, 2013 We investigate connections between information-theoretic and estimation-theoretic quantities in vector Poisson channel models. In particular, we generalize the gradient of mutual information with respect to key system parameters from the scalar to the ...
Carin, L, IEEE, Rodrigues, M, Wang, L
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Matrix Nearness Problems with Bregman Divergences [PDF]
SIAM Journal on Matrix Analysis and Applications, 2008 This paper discusses a new class of matrix nearness problems that measure approximation error using a directed distance measure called a Bregman divergence. Bregman divergences offer an important generalization of the squared Frobenius norm and relative entropy, and they all share fundamental geometric properties.
Inderjit S. Dhillon, Joel A. Tropp
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Divergence Family Contribution to Data Evaluation in Blockchain Via Alpha-EM and Log-EM Algorithms
IEEE Access, 2021 This study interrelates three adjacent topics in data evaluation. The first is the establishment of a relationship between Bregman divergence and probabilistic alpha-divergence.
Yasuo Matsuyama
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Maps on positive definite matrices preserving Bregman and Jensen divergences [PDF]
, 2015 In this paper we determine those bijective maps of the set of all positive definite $n\times n$ complex matrices which preserve a given Bregman divergence corresponding to a differentiable convex function that satisfies certain conditions.
Molnár, Lajos +2 more
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Bregman superquantiles. Estimation methods and applications
Dependence Modeling, 2016 In thiswork,we extend some parameters built on a probability distribution introduced before to the casewhere the proximity between real numbers is measured by using a Bregman divergence.
Labopin-Richard T. +3 more
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The Burbea-Rao and Bhattacharyya centroids [PDF]
, 2011 We study the centroid with respect to the class of information-theoretic Burbea-Rao divergences that generalize the celebrated Jensen-Shannon divergence by measuring the non-negative Jensen difference induced by a strictly convex and differentiable ...
Frank Nielsen +2 more
core +2 more sources