Results 21 to 30 of about 2,732,414 (284)
Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Open Mathematics, 2022 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]
2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014 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
Physical Review D, 2023 16 pages, no ...
Damianos Iosifidis +1 more
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Mathematics, 2020 In this paper, we prove some inequalities in terms of the normalized δ -Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds in holomorphic statistical manifolds with constant ...
Simona Decu +2 more
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Algorithms for computing normally hyperbolic invariant manifolds [PDF]
, 1997 An effcient algorithm is developed for the numerical computation of normally hyperbolic invariant manifolds, based on the graph transform and Newton's method.
Vegter, G., +10 more
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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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Modular frobenius manifolds and their invariant flows [PDF]
, 2010 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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Dubrovin's duality for F-manifolds with eventual identities [PDF]
, 2011 A vector field <i>E</i> on an <i>F</i>-manifold (M, o, e) is an eventual identity if it is invertible and the multiplication X*Y := X o Y o E^{-1} defines a new F-manifold structure on <i>M</i>.
Ian A.B. Strachan +3 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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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
doaj +1 more source