Results 1 to 10 of about 2,833,548 (240)

Manifold learning in statistical tasks

Учёные записки Казанского университета: Серия Физико-математические науки, 2018
Many tasks of data analysis deal with high-dimensional data, and curse of dimensionality is an obstacle to the use of many methods for their solving.
A.V. Bernstein
doaj   +1 more source

Information Geometry of the Exponential Family of Distributions with Progressive Type-II Censoring

Entropy, 2021
In geometry and topology, a family of probability distributions can be analyzed as the points on a manifold, known as statistical manifold, with intrinsic coordinates corresponding to the parameters of the distribution. Consider the exponential family of
Fode Zhang, Xiaolin Shi, Hon Keung Tony Ng   +2 more
doaj   +1 more source

Spectrum Sensing Method Based on Information Geometry and Deep Neural Network

Entropy, 2020
Due to the scarcity of radio spectrum resources and the growing demand, the use of spectrum sensing technology to improve the utilization of spectrum resources has become a hot research topic.
Kaixuan Du, Pin Wan, Yonghua Wang, Xiongzhi Ai, Huang Chen   +4 more
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Combinatorial Optimization with Information Geometry: The Newton Method

Entropy, 2014
e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
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Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

Mathematics
Let (M,∇,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM.
Lixu Yan, Yanlin Li, Lokman Bilen, Aydın Gezer   +3 more
doaj   +1 more source

α-Connections and a Symmetric Cubic Form on a Riemannian Manifold

Entropy, 2017
In this paper, we study the construction of α -conformally equivalent statistical manifolds for a given symmetric cubic form on a Riemannian manifold.
Keiko Uohashi
doaj   +1 more source

Strong Likelihood Principle: Strengthening a Principle or Misunderstanding the Likelihood Function

Mathematics
The strong likelihood principle (SLP) is conventionally derived from the sufficiency principle and a conditionality principle in an argument due to Birnbaum, and much of the literature contests whether the derivation is sound.
Paul W. Vos
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Geometry Induced by a Generalization of Rényi Divergence

Entropy, 2016
In this paper, we propose a generalization of Rényi divergence, and then we investigate its induced geometry. This generalization is given in terms of a φ-function, the same function that is used in the definition of non-parametric φ-families.
David C. de Souza, Rui F. Vigelis, Charles C. Cavalcante   +2 more
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Transversality Conditions for Geodesics on the Statistical Manifold of Multivariate Gaussian Distributions. [PDF]

Entropy (Basel), 2022
Herntier T, Peter AM.
europepmc   +1 more source

Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature

Entropy, 2018
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu, Stefan Haesen, Leopold Verstraelen, Gabriel-Eduard Vîlcu   +3 more
doaj   +1 more source