Results 21 to 30 of about 4,356 (253)
Laplacian operator on statistical manifold
Information Geometry, 2022 In this paper, we define a Laplacian operator on a statistical manifold, called the vector Laplacian. This vector Laplacian incorporates information from the Amari-Chentsov tensor. We derive a formula for the vector Laplacian. We also give two applications using the heat kernel associated with the vector Laplacian.
Ruichao Jiang +2 more
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Affine Differential Geometric Control Tools for Statistical Manifolds
Mathematics, 2021 The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established.
Iulia-Elena Hirica +3 more
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Biconnection gravity as a statistical manifold
Physical Review D, 2023 16 pages, no ...
Damianos Iosifidis +1 more
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On Statistical and Semi-Weyl Manifolds Admitting Torsion
Mathematics, 2022 We introduce the concept of quasi-semi-Weyl structure, we provide a couple of ways for constructing quasi-statistical and quasi-semi-Weyl structures by means of a pseudo-Riemannian metric, an affine connection and a tensor field on a smooth manifold, and
Adara M. Blaga, Antonella Nannicini
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Mathematics, 2022 The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui +2 more
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Manifold Statistics for Essential Matrices [PDF]
, 2012 Riemannian geometry allows for the generalization of statistics designed for Euclidean vector spaces to Riemannian manifolds. It has recently gained popularity within computer vision as many relevant parameter spaces have such a Riemannian manifold structure. Approaches which exploit this have been shown to exhibit improved efficiency and accuracy. The
Dubbelman, G., Dorst, L., Pijls, H.
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On Nearly Sasakian and Nearly Kähler Statistical Manifolds
Mathematics, 2023 In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical ...
Siraj Uddin +3 more
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Almost cosympletic statistical manifolds
Quaestiones Mathematicae, 2019 15 pages and comments are welcome!
MURATHAN, CENGİZHAN +2 more
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Extremities for statistical submanifolds in Кenmotsu statistical manifolds
Filomat, 2021 Kenmotsu geometry is a valuable part of contact geometry with nice applications in other fields such as theoretical physics. In this article, we study the statistical counterpart of a Kenmotsu manifold, that is, Kenmotsu statistical manifold with some related examples.
Siddiqui, Aliya Naaz +2 more
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Entropy, 2015 In this paper we investigate statistical manifolds with almost quaternionic structures. We define the concept of quaternionic Kähler-like statistical manifold and derive the main properties of quaternionic Kähler-like statistical submersions, extending ...
Alina-Daniela Vîlcu +1 more
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