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Diffusion Kernels on Statistical Manifolds

1999
A family of kernels for statistical learning is introduced that exploits the geometric structure of statistical models. The kernels are based on the heat equation on the Riemannian manifold defined by the Fisher information metric associated with a statistical family, and generalize the Gaussian kernel of Euclidean space.
Lafferty, John D., Lebanon, Guy
openaire   +1 more source

Diffusion on Statistical Manifolds

2006 International Conference on Image Processing, 2006
This paper presents a new diffusion scheme on statistical manifolds for the detection of texture boundaries. The technique derives from our previous work, in which 2-dimensional Riemannian manifolds were statistically defined by maps that transform a parameter domain onto a set of probability density functions.
Sang-mook Lee   +3 more
openaire   +1 more source

Dual symmetric statistical manifolds

Journal of Mathematical Sciences, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Statistical Manifolds of Univariate Elliptic Distributions

International Statistical Review / Revue Internationale de Statistique, 1988
The author has investigated the geometrical properties of the class of univariate elliptic distributions from the view point of robustness and with the purpose of providing insight into the general concept of statistical manifolds of \textit{S. Amari} [Differential-geometrical methods in statistics. (1985; Zbl 0559.62001)] and \textit{S.
openaire   +2 more sources

Sasakian Statistical Manifolds II

2017
This article is a digest of [2, 3] with additional remarks on invariant submanifolds of Sasakian statistical manifolds.
openaire   +1 more source

Statistical manifolds

1993
Michael K. Murray, John W. Rice
openaire   +1 more source

Conformal Control Tools for Statistical Manifolds and for γ-Manifolds

Mathematics, 2022
Iulia-Elena Hirica   +2 more
exaly  

On the Hypersurfaces of Almost Hermitian Statistical Manifolds

Bulletin of the Iranian Mathematical Society, 2021
Haniyeh Akbari, Fereshteh Malek
exaly  

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