Results 231 to 240 of about 944,650 (244)

THE FISHER–RAO METRIC FOR LINES IN A CONVEX IMAGE

International Journal of Pattern Recognition and Artificial Intelligence, 2007
The Fisher–Rao metric on the parameter space for the set of lines in a two-dimensional convex image is approximated under the assumption that the errors in the measurements are small. The volume of the parameter space under the approximating metric is proportional to the area of the image under the Euclidean metric. In the case of a rectangular image,
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On the Fisher-Rao Information Metric in the Space of Normal Distributions

2019
The Fisher-Rao distance between two probability distribution functions, as well as other divergence measures, is related to entropy and is in the core of the research area of information geometry. It can provide a framework and enlarge the perspective of analysis for a wide variety of domains, such as statistical inference, image processing (texture ...
Julianna Pinele, Sueli I. R. Costa, João E. Strapasson   +2 more
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A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation

Journal of Scientific Computing, 2023
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Yang Jing, Jiaheng Chen, Lei Li 0006, Jianfeng Lu 0001   +3 more
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Shape Analysis Using the Fisher-Rao Riemannian Metric: Unifying Shape Representation and Deformation

3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., 2006
We show that the Fisher-Rao Riemannian metric is a natural, intrinsic tool for computing shape geodesics. When a parameterized probability density function is used to represent a landmark-based shape, the modes of deformation are automatically established through the Fisher information of the density. Consequently, given two shapes parameterized by the
Adrian M. Peter, Anand Rangarajan 0001
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Computing Gender Difference Using Fisher-Rao Metric from Facial Surface Normals

2012 25th SIBGRAPI Conference on Graphics, Patterns and Images, 2012
The aim in this paper is to explore whether the Fisher-Rao metric can be used to characterise the shape changes due to gender difference. We work using a 2.5D representation based on facial surface normals (or facial needle-maps) for gender classification.
Simone Ceolin, Edwin R. Hancock
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Global differentiable structures for the Fisher-Rao and Kantorovich-Wasserstein-Otto metrics

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact GH Equivalence of Fubini--Study and Fisher--Rao Metrics

This QBN mathematical preprint proves exact Gromov–Hausdorff equivalence between Fubini–Study quantum metric and Fisher–Rao classical information geometry under deficit gradient flow coarse-graining, with fixed scaling d_FR=2 d_FS. It establishes the complete bidirectional Chentsov–Fubini–Study correspondence linking unitary invariance (quantum) and ...
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Fisher–Rao geometry and Jeffreys prior for Pareto distribution

Communications in Statistics - Theory and Methods, 2022
Mingming Li, Huafei Sun, Linyu Peng
exaly  

Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold

Mathematische Nachrichten, 2019
Martins Bruveris, Peter W Michor
exaly  

Fisher-Rao Metric

2021
Stephen Maybank
exaly