Results 31 to 40 of about 2,851,799 (287)
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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Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds
Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new ...
Ömer Aksu, Mehmet Gülbahar
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Chen’s first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature was obtained by B.-Y. Chen et al. Other particular cases of Chen inequalities in a statistical setting were given by different authors.
Ion Mihai, Radu-Ioan Mihai
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Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem +3 more
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Domain Adaptation on the Statistical Manifold [PDF]
In this paper, we tackle the problem of unsupervised domain adaptation for classification. In the unsupervised scenario where no labeled samples from the target domain are provided, a popular approach consists in transforming the data such that the source and target distributions become similar.
Mahsa Baktashmotlagh +3 more
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Biconnection gravity as a statistical manifold
16 pages, no ...
Damianos Iosifidis +1 more
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Laplacian operator on statistical manifold
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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Quasi-Kahler manifolds with trivial Chern holonomy [PDF]
We study quasi-kahler manifolds with trivial Chern ...
Antonio J. Di Scala +4 more
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Modular frobenius manifolds and their invariant flows [PDF]
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan +3 more
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Manifold Statistics for Essential Matrices [PDF]
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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