Results 11 to 20 of about 2,630,587 (176)
Proceedings, 2017 Shape Analysis studies geometrical objects, as for example a flat fish in the plane or a human head in the space. The applications range from structural biology, computer vision, medical imaging to archaeology. We focus on the selection of an appropriate
Angela De Sanctis, Stefano A. Gattone
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A JKO Splitting Scheme for Kantorovich--Fisher--Rao Gradient Flows
, 2017 International audienceIn this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric , recently introduced and defined on the space of positive Radon measure with ...
Léonard Monsaingeon +3 more
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Curve Registration of Functional Data for Approximate Bayesian Computation
Stats, 2021 Approximate Bayesian computation is a likelihood-free inference method which relies on comparing model realisations to observed data with informative distance measures.
Anthony Ebert +3 more
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On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds
Entropy, 2020 We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
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Hellinger Information Matrix and Hellinger Priors
Entropy, 2023 Hellinger information as a local characteristic of parametric distribution families was first introduced in 2011. It is related to the much older concept of the Hellinger distance between two points in a parametric set.
Arkady Shemyakin
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Application of the Fisher-Rao metric to ellipse detection [PDF]
, 2007 The parameter space for the ellipses in a two dimensional image is a five dimensional manifold, where each point of the manifold corresponds to an ellipse in the image. The parameter space becomes a Riemannian manifold under a Fisher-Rao metric, which is
Stephen J. Maybank, Maybank, Stephen J.
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A Fisher-Rao metric for paracatadioptric images of lines [PDF]
, 2012 In a central paracatadioptric imaging system a perspective camera takes an image of a scene reflected in a paraboloidal mirror. A 360° field of view is obtained, but the image is severely distorted.
Maybank, Stephen J. +2 more
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The Fisher-Rao metric for projective transformations of the line [PDF]
, 2005 A conditional probability density function is defined for measurements arising from a projective transformation of the line. The conditional density is a member of a parameterised family of densities in which the parameter takes values in the three ...
Stephen J. Maybank, Maybank, Stephen J.
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On the Geodesic Distance in Shapes K-means Clustering
Entropy, 2018 In this paper, the problem of clustering rotationally invariant shapes is studied and a solution using Information Geometry tools is provided. Landmarks of a complex shape are defined as probability densities in a statistical manifold.
Stefano Antonio Gattone +3 more
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Matrix Algebraic Properties of the Fisher Information Matrix of Stationary Processes
Entropy, 2014 In this survey paper, a summary of results which are to be found in a series of papers, is presented. The subject of interest is focused on matrix algebraic properties of the Fisher information matrix (FIM) of stationary processes.
André Klein
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