Results 11 to 20 of about 944,650 (244)
Optical flow estimation using the Fisher–Rao metric [PDF]
Neuromorphic 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]
Journal of Mathematical Imaging and Vision, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maybank, Stephen J.
openaire +3 more sources
Bayesian sensitivity analysis with the Fisher–Rao metric [PDF]
Biometrika, 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
The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections [PDF]
Calculus 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
core +5 more sources
Uniqueness of the Fisher–Rao metric on the space of smooth densities [PDF]
Bulletin 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.
Martin Bauer +2 more
exaly +6 more sources
Entropy, 2020 The Fisher–Rao distance is a measure of dissimilarity between probability distributions, which, under certain regularity conditions of the statistical model, is up to a scaling factor the unique Riemannian metric invariant under Markov morphisms.
Julianna Pinele +2 more
doaj +2 more sources
Analysis of spike train data: Alignment and comparisons using the extended Fisher-Rao metric
Electronic Journal of Statistics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anuj Srivastava
exaly +3 more sources
Riemannian cubics on the group of diffeomorphisms and the Fisher-Rao metric [PDF]
, 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 +6 more sources
, 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
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
doaj +1 more source