Results 21 to 30 of about 59,568 (301)
Point Cloud Denoising Algorithm via Geometric Metrics on the Statistical Manifold
Applied Sciences, 2023 A denoising algorithm was proposed for point cloud with high-density noise. The algorithm utilized geometric metrics on the statistical manifold and applied the idea of clustering K-means based on local statistical characteristics between noise and valid
Xiaomin Duan, Li Feng, Xinyu Zhao
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Immersions into Statistical Manifolds
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2021 This paper studies the geometry of immersions into statistical manifolds. A necessary and sufficient condition is obtained for statistical manifold structures to be dual to each other for a non-degenerate equiaffine immersion. Then we obtain conditions for realizing an n-dimensional statistical manifold in an (n+1)-dimensional statistical manifold and ...
T. V. Mahaesh +1 more
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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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LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD [PDF]
, 2023 In this paper, we introduce an indefinite LP-Sasakian statistical manifold and study lightlike submanifold of an indefinite LP-Sasakian statistical manifold.
Ahmad, Mobin, Alam, Mahtab
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Entropy, 2022 In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional ...
Simona Decu, Gabriel-Eduard Vîlcu
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International Electronic Journal of Geometry, 2021 In this paper, we study the statistical immersion of codimension one from a Sasakian statistical manifold of constant φ− curvature to a holomorphic statistical manifold of constant holomorphic curvature and its converse. We prove that in both cases the constant φ− curvature equals to one and the constant holomorphic curvature must be zero. Moreover, we
Feng Wu, Yan Jıang, Liang Zhang
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Mathematics, 2022 In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
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Axioms, 2023 The purpose of this paper is to find some conditions under which the tangent bundle TM has a dualistic structure. Then, we introduce infinitesimal affine transformations on statistical manifolds and investigate these structures on a special statistical ...
Esmaeil Peyghan +2 more
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Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle
Mathematics, 2023 We determine the general natural metrics G on the total space TM of the tangent bundle of a Riemannian manifold (M,g) such that the Schouten–van Kampen connection ∇¯ associated to the Levi-Civita connection of G is (quasi-)statistical.
Simona-Luiza Druta-Romaniuc
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A q-exponential statistical Banach manifold [PDF]
, 2021 Let µ be a given probability measure and Mµ the set of µ-equivalent strictly positive probability densities. In this paper we construct a Banach manifold on Mµ, modeled on the space L 8(p{dot operator}µ) where p is a reference density, for the non ...
Quiceno, H. R., Loaiza, G.
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