Results 251 to 260 of about 2,732,414 (284)

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, A. Lynn Abbott, Neil A. Clark, Philip A. Araman   +3 more
openaire   +2 more sources

Exponential statistical manifold

Annals of the Institute of Statistical Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CENA A, PISTONE, Giovanni
openaire   +3 more sources

Musical Isomorphisms and Statistical Manifolds

Mediterranean Journal of Mathematics, 2022
On a pseudo-Riemannian manifold \((M, g)\), an affine connection \(\nabla\) is called a Codazzi connection if \(\nabla g\) is totally symmetric. The triple \((M,g,\nabla)\) is called a statistical manifold if \(\nabla\) is torsion free and Codazzi. This is the setting of information geometry.
Esmaeil Peyghan, Leila Nourmohammadifar, Siraj Uddin   +2 more
openaire   +2 more sources

Diffusion Kernels on Statistical Manifolds

J. Mach. Learn. Res., 2005
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.
John D. Lafferty, Guy Lebanon
openaire   +2 more sources

Information geometry and statistical manifold

Chaos, Solitons & Fractals, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdel-All, Nassar H., Abd-Ellah, H. N., Moustafa, H. M.   +2 more
openaire   +2 more sources

Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds [PDF]

Mathematics, 2019
We consider Kähler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant δ ( 2 , 2 )
Mayuko Kon, Cihan Özgur, Adela Mihai
exaly   +2 more sources

Statistical manifolds are statistical models

Journal of Geometry, 2006
In this note we prove that any smooth (C1 resp.) statistical manifold can be embedded into the space of probability measures on a finite set. As a result, we get positive answers to Lauritzen´s question and Amari´s question on a realization of smooth (C1 resp.) statistical manifolds as finite dimensional statistical models.
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

Advances in matrix manifolds for computer vision

Image and Vision Computing, 2012
Yui Man Lui
exaly