Results 21 to 30 of about 30,962 (265)
On Almost Norden Statistical Manifolds
Entropy, 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 ∇-recurrent. We provide one example of a complex statistical connection.
Leila Samereh +2 more
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Computational Information Geometry in Statistics: Theory and Practice
Entropy, 2014 A broad view of the nature and potential of computational information geometry in statistics is offered. This new area suitably extends the manifold-based approach of classical information geometry to a simplicial setting, in order to obtain an ...
Frank Critchley, Paul Marriott
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Almost cosympletic statistical manifolds
Quaestiones Mathematicae, 2019 15 pages and comments are welcome!
MURATHAN, CENGİZHAN +2 more
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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
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Using the NEOS Server for Solving Two Classes of Optimization Problems
Кібернетика та комп'ютерні технології, 2022 NEOS server provides free access to the library of necessary software for solving optimization problems. The effective numerical methods developed can be used for a specific application or for solving a wide range of mathematical programming problems ...
Halyna Bila +4 more
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Hyperspherical Manifold for EEG Signals of Epileptic Seizures
Journal of Applied Mathematics, 2012 The mathematical modelling of EEG signals of epileptic seizures presents a challenge as seizure data is erratic, often with no visible trend. Limitations in existing models indicate a need for a generalized model that can be used to analyze seizures ...
Tahir Ahmad, Vinod Ramachandran
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Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics
Axioms, 2014 A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
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A Deformed Exponential Statistical Manifold [PDF]
Entropy, 2019 Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ -connection by an open arc, where φ is a deformed exponential function which assumes zero until a certain point and from then on is ...
Francisca Leidmar Josué Vieira +3 more
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Foundations of Structural Statistics: Statistical Manifolds
CoRR, 2020 Upon a consistent topological statistical theory the application of structural statistics requires a quantification of the proximity structure of model spaces. An important tool to study these structures are Pseudo-Riemannian metrices, which in the category of statistical models are induced by statistical divergences.
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Conformal Control Tools for Statistical Manifolds and for γ-Manifolds
Mathematics, 2022 The theory of statistical manifolds w.r.t. a conformal structure is reviewed in a creative manner and developed. By analogy, the γ-manifolds are introduced. New conformal invariant tools are defined. A necessary condition for the f-conformal equivalence of γ-manifolds is found, extending that for the α-conformal equivalence for statistical manifolds ...
Iulia-Elena Hirica +3 more
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