Results 31 to 40 of about 2,833,548 (240)

Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

open access: yesMathematics, 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

A Sequence of Escort Distributions and Generalizations of Expectations on q-Exponential Family

open access: yesEntropy, 2016
In the theory of complex systems, long tailed probability distributions are often discussed. For such a probability distribution, a deformed expectation with respect to an escort distribution is more useful than the standard expectation.
Hiroshi Matsuzoe
doaj   +1 more source

Affine Differential Geometric Control Tools for Statistical Manifolds

open access: yesMathematics, 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

Methodology for automatic recovering of 3D partitions from unstitched faces of non-manifold CAD models [PDF]

open access: yes, 2013
Data exchanges between different software are currently used in industry to speed up the preparation of digital prototypes for Finite Element Analysis (FEA).
PERNOT, Jean-Philippe   +1 more
core   +1 more source

Point Cloud Denoising Algorithm via Geometric Metrics on the Statistical Manifold

open access: yesApplied 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
doaj   +1 more source

LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD [PDF]

open access: yes, 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
core   +1 more source

Statistical Manifolds with almost Quaternionic Structures and Quaternionic Kähler-like Statistical Submersions

open access: yesEntropy, 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
doaj   +1 more source

Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations

open access: yesMathematics, 2022
In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır   +3 more
doaj   +1 more source

On Almost Norden Statistical Manifolds

open access: yesEntropy, 2022
We consider a statistical connection ∇ on an almost complex manifold with (pseudo-) Riemannian metric, in particular the Norden metric. We investigate almost Norden (statistical) manifolds under the condition that the almost complex structure J is ...
Leila Samereh   +2 more
doaj   +1 more source

Latent Network Construction for Univariate Time Series Based on Variational Auto-Encode

open access: yesEntropy, 2021
Time series analysis has been an important branch of information processing, and the conversion of time series into complex networks provides a new means to understand and analyze time series.
Jiancheng Sun   +4 more
doaj   +1 more source

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