Results 221 to 230 of about 4,356 (253)
Some of the next articles are maybe not open access.
Musical Isomorphisms and Statistical Manifolds
Mediterranean Journal of Mathematics, 2022On 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 +2 more
openaire +2 more sources
Diffusion Kernels on Statistical Manifolds
J. Mach. Learn. Res., 2005A 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, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdel-All, Nassar H. +2 more
openaire +2 more sources
Statistical manifolds are statistical models
Journal of Geometry, 2006In 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
2017This article is a digest of [2, 3] with additional remarks on invariant submanifolds of Sasakian statistical manifolds.
openaire +1 more source
The parameterization method for invariant manifolds III: overview and applications
Journal of Differential Equations, 2005Xavier Cabré +2 more
exaly