Results 21 to 30 of about 1,147 (194)
Information Geometry on the \(\kappa\)-Thermostatistics
Entropy, 2015 We explore the information geometric structure of the statistical manifold generated by the \(\kappa\)-deformed exponential family. The dually-flat manifold is obtained as a dualistic Hessian structure by introducing suitable generalization of the Fisher
Tatsuaki Wada, Antonio M. Scarfone
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Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
Journal of Mathematics, 2021 In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li +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, 2014 The equation that approximately traces the trajectory in the concentration phase space of chemical kinetics is derived based on the rate of entropy production.
Shinji Kojima
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Hybrid connections on Hessian manifolds
, 2023 A Hessian manifold $(M,D,g)$ is a manifold $M$ with a flat connection $D$ and a Riemannian or pseudo-Riemannian metric $g$ that is locally of the form $D^2 f$ for some function $f$. On a Hessian manifold $(M,D,g)$, we define a hybrid connection as an incompressible affine connection $\nabla$ that is projectively flat relative to $D$ (its unparametrized
Chéritat, Arnaud, Tahar, Guillaume
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The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [PDF]
Entropy, 2020 We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds. The present authors previously initiated the investigation of statistical submanifolds in Hessian manifolds of ...
Adela Mihai, Ion Mihai
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A Hybrid Regularization Semi-Supervised Extreme Learning Machine Method and Its Application
IEEE Access, 2019 Semi-supervised extreme learning machine (SS-ELM) has been applied to many classification and regression assignments with high performance, in which both the labeled and unlabeled data are exploited to enhance accuracy and computation efficiency.
Yongxiang Lei +3 more
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Identifying Potential miRNA-Disease Associations Based on an Improved Manifold Learning Framework
IEEE Access, 2020 Adequate evidence has shown that miRNA-disease interactions are strongly involved in the pathological processes of complex human diseases. However, it is commonly time-consuming and labor-intensive to utilize laboratory biological experiments to reveal ...
Yong Tang +3 more
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Prisoners’ Educational Experiences in Five Different Prison Sports Programmes: A Research Note
European Journal of Investigation in Health, Psychology and Education, 2023 Organized sports programmes offer manifold opportunities for learning and personal development. Prisoners in organized sports programmes could profit from these educational opportunities, which could eventually support their process of reintegration into
Johannes Müller +3 more
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Connecting Information Geometry and Geometric Mechanics
Entropy, 2017 The divergence function in information geometry, and the discrete Lagrangian in discrete geometric mechanics each induce a differential geometric structure on the product manifold Q × Q .
Melvin Leok, Jun Zhang
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