Results 1 to 10 of about 747,762 (279)
On the Fisher Metric of Conditional Probability Polytopes [PDF]
Entropy, 2014 We consider three different approaches to define natural Riemannian metrics on polytopes of stochastic matrices. First, we define a natural class of stochastic maps between these polytopes and give a metric characterization of Chentsov type in terms of ...
Guido Montúfar, Johannes Rauh, Nihat Ay
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The Fisher metric as a metric on the cotangent bundle
Information Geometry, 2023 Abstract The Fisher metric on a manifold of probability distributions is usually treated as a metric on the tangent bundle. In this paper, we focus on the metric on the cotangent bundle induced from the Fisher metric with calling it the Fisher co-metric.
Hiroshi Nagaoka
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Application of the Fisher-Rao Metric to Ellipse Detection [PDF]
International Journal of Computer Vision, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Maybank
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The Fisher-Rao Metric for Projective Transformations of the Line [PDF]
International Journal of Computer Vision, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Maybank
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Geometry of Fisher Information Metric and the Barycenter Map [PDF]
Entropy, 2015 Geometry of Fisher metric and geodesics on a space of probability measures defined on a compact manifold is discussed and is applied to geometry of a barycenter map associated with Busemann function on an Hadamard manifold \(X\).
Mitsuhiro Itoh, Hiroyasu Satoh
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Explicit Geodesic Projection Distance on the Statistical Manifold of Multivariate Elliptical Distributions [PDF]
EntropyGeodesic projection distances on statistical manifolds have been widely applied across various research fields. Nevertheless, the existing closed-form solution is only available for the Gaussian manifold.
Xiangbing Chen +2 more
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The uniqueness of the Fisher metric as information metric [PDF]
Annals of the Institute of Statistical Mathematics, 2016 v.4. 18 p. Minor changes in exposition.
Hong Van Le
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Diffeological Statistical Models, the Fisher Metric and Probabilistic Mappings
Mathematics, 2020 We introduce the notion of a C k -diffeological statistical model, which allows us to apply the theory of diffeological spaces to (possibly singular) statistical models.
Hông Vân Lê
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Approximation to the Fisher–Rao metric for the focus of expansion [PDF]
Neurocomputing, 2008 The Fisher-Rao metric for the focus of expansion is approximated, under the assumption that the focus is estimated from correspondences between two images taken by a translating camera. The approximation is accurate if the errors in the image correspondences are small.
S J Maybank
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Application of the Fisher-Rao Metric to Structure Detection
Journal of Mathematical Imaging and Vision, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Maybank
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