Results 11 to 20 of about 1,115,323 (244)

Application of the Fisher-Rao Metric to Ellipse Detection [PDF]

open access: yesInternational Journal of Computer Vision, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen J. Maybank, Maybank, Stephen J.
openaire   +4 more sources

Optical flow estimation using the Fisher–Rao metric [PDF]

open access: yesNeuromorphic Computing and Engineering, 2021
Abstract The optical flow in an event camera is estimated using measurements in the address event representation (AER). Each measurement consists of a pixel address and the time at which a change in the pixel value equalled a given fixed threshold.
Stephen J. Maybank   +3 more
openaire   +3 more sources

A Fisher–Rao Metric for Curves Using the Information in Edges [PDF]

open access: yesJournal of Mathematical Imaging and Vision, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maybank, Stephen J.
openaire   +3 more sources

The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2023
AbstractWe introduce a family of Finsler metrics, called the $$L^p$$ L p -Fisher–Rao metrics $$F_p$$ F p , for $$p\in (1,\infty )$$
Bauer, Martin   +3 more
openaire   +5 more sources

Bayesian sensitivity analysis with the Fisher–Rao metric [PDF]

open access: yesBiometrika, 2015
We propose a geometric framework to assess sensitivity of Bayesian procedures to modelling assumptions based on the nonparametric Fisher–Rao metric. While the framework is general, the focus of this article is on assessing local and global robustness in Bayesian procedures with respect to perturbations of the likelihood and prior, and on the ...
Kurtek, Sebastian, Bharath, Karthik
openaire   +4 more sources

Riemannian cubics on the group of diffeomorphisms and the Fisher-Rao metric [PDF]

open access: yes, 2016
We study a second-order variational problem on the group of diffeomorphisms of the interval [0, 1] endowed with a right-invariant Sobolev metric of order 2, which consists in the minimization of the acceleration. We compute the relaxation of the problem which involves the so-called Fisher-Rao functional a convex functional on the space of measures ...
Tahraoui, Rabah   +1 more
core   +5 more sources

The Fisher-Rao metric

open access: yes, 2008
The information in a mass of data is summarised by fitting to the data a probability density function (pdf) chosen from a parameterised family of pdfs. Distances between pairs of pdfs are calculated using the Fisher-Rao metric, which provides a measure ...
Maybank, Stephen J.
core   +7 more sources

A JKO Splitting Scheme for Kantorovich--Fisher--Rao Gradient Flows

open access: yes, 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
core   +5 more sources

Uniqueness of the Fisher–Rao metric on the space of smooth densities [PDF]

open access: yesBulletin of the London Mathematical Society, 2016
On a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive probability densities, that is invariant under the action of the diffeomorphism group, is a multiple of the Fisher--Rao metric.
Bauer, M, Bruveris, M, Michor, PW
openaire   +5 more sources

An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics [PDF]

open access: yesFoundations of Computational Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lenaïc Chizat   +3 more
openaire   +3 more sources

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