Results 31 to 40 of about 225,797 (277)
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
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Sasakian statistical manifolds
Journal of Geometry and Physics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furuhata, Hitoshi +4 more
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Frobenius statistical manifolds & geometric invariants
, 2021 8 ...
Combe, Noemie +2 more
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Mathematics, 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
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A Sequence of Escort Distributions and Generalizations of Expectations on q-Exponential Family
Entropy, 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
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Latent Network Construction for Univariate Time Series Based on Variational Auto-Encode
Entropy, 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
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Entropy, 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
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Incomplete equilibrium in long-range interacting systems
, 2006 We use a Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasi-stationary states particularly relevant for long-range interacting systems.
A. Pluchino +9 more
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SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS [PDF]
Journal of the Australian Mathematical Society, 2011 AbstractA relationship between symplectic geometry and information geometry is studied. The square of a dually flat space admits a natural symplectic structure that is the pullback of the canonical symplectic structure on the cotangent bundle of the dually flat space via the canonical divergence. With respect to the symplectic structure, there exists a
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