Results 1 to 10 of about 634,911 (278)
Information-Geometric Approach for a One-Sided Truncated Exponential Family [PDF]
Entropy, 2023 In information geometry, there has been extensive research on the deep connections between differential geometric structures, such as the Fisher metric and the α-connection, and the statistical theory for statistical models satisfying regularity ...
Masaki Yoshioka, Fuyuhiko Tanaka
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Exponential Families with External Parameters
Entropy, 2022 In this paper we introduce a class of statistical models consisting of exponential families depending on additional parameters, called external parameters.
Marco Favretti
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The q-exponential family in statistical physics
Open Physics, 2009 The notion of generalised exponential family is considered in the restricted context of nonextensive statistical physics. Examples are given of models belonging to this family.
Naudts Jan
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Sparse Exponential Family Principal Component Analysis. [PDF]
Pattern Recognit, 2016 We propose a Sparse exponential family Principal Component Analysis (SePCA) method suitable for any type of data following exponential family distributions, to achieve simultaneous dimension reduction and variable selection for better interpretation of the results. Because of the generality of exponential family distributions, the method can be applied
Lu M, Huang JZ, Qian X.
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Registration for exponential family functional data. [PDF]
Biometrics, 2019 Summary We introduce a novel method for separating amplitude and phase variability in exponential family functional data. Our method alternates between two steps: the first uses generalized functional principal components analysis to calculate template functions, and the second estimates smooth warping functions that map observed curves ...
Wrobel J +3 more
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Extended Divergence on a Foliation by Deformed Probability Simplexes
Entropy, 2022 This study considers a new decomposition of an extended divergence on a foliation by deformed probability simplexes from the information geometry perspective.
Keiko Uohashi
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Entropy, 2021 We generalize the Jensen-Shannon divergence and the Jensen-Shannon diversity index by considering a variational definition with respect to a generic mean, thereby extending the notion of Sibson’s information radius.
Frank Nielsen
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Entropy, 2022 By calculating the Kullback–Leibler divergence between two probability measures belonging to different exponential families dominated by the same measure, we obtain a formula that generalizes the ordinary Fenchel–Young divergence.
Frank Nielsen
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On Representations of Divergence Measures and Related Quantities in Exponential Families
Entropy, 2021 Within exponential families, which may consist of multi-parameter and multivariate distributions, a variety of divergence measures, such as the Kullback–Leibler divergence, the Cressie–Read divergence, the Rényi divergence, and the Hellinger metric, can ...
Stefan Bedbur, Udo Kamps
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Entropic Dynamics on Gibbs Statistical Manifolds
Entropy, 2021 Entropic dynamics is a framework in which the laws of dynamics are derived as an application of entropic methods of inference. Its successes include the derivation of quantum mechanics and quantum field theory from probabilistic principles.
Pedro Pessoa +2 more
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