Results 21 to 30 of about 225,797 (277)
A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
doaj +1 more source
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
openaire +3 more sources
Almost cosympletic statistical manifolds
Quaestiones Mathematicae, 2019 15 pages and comments are welcome!
MURATHAN, CENGİZHAN +2 more
openaire +7 more sources
Robustness of statistical manifolds
Topology and its Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loi, A., Matta, S.
openaire +2 more sources
Information-Geometric Approach for a One-Sided Truncated Exponential Family
Entropy, 2023 In information geometry, there has been extensive research on the deep connections between differential geometric structures, such as the Fisher metric and the α-connection, and the statistical theory for statistical models satisfying regularity ...
Masaki Yoshioka, Fuyuhiko Tanaka
doaj +1 more source
Statistical cosymplectic manifolds and their submanifolds
پژوهشهای ریاضی, 2022 Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
doaj
Application of Statistical K-Means Algorithm for University Academic Evaluation
Entropy, 2022 With the globalization of higher education, academic evaluation is increasingly valued by the scientific and educational circles. Although the number of published papers of academic evaluation methods is increasing, previous research mainly focused on ...
Daohua Yu +4 more
doaj +1 more source
Classification and Geometry of General Perceptual Manifolds [PDF]
, 2018 Perceptual manifolds arise when a neural population responds to an ensemble of sensory signals associated with different physical features (e.g., orientation, pose, scale, location, and intensity) of the same perceptual object.
Chung, SueYeon +2 more
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source