Results 11 to 20 of about 944,515 (124)
, 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.
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Optical flow estimation using the Fisher-Rao metric [PDF]
, 2021 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.
Benosman, R. +3 more
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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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Detection of image structures using the Fisher information and the Rao metric [PDF]
, 2004 In many detection problems, the structures to be detected are parameterized by the points of a parameter space. If the conditional probability density function for the measurements is known, then detection can be achieved by sampling the parameter space ...
Maybank, Stephen J., S.J. Maybank
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From the Jordan Product to Riemannian Geometries on Classical and Quantum States
Entropy, 2020 The Jordan product on the self-adjoint part of a finite-dimensional C * -algebra A is shown to give rise to Riemannian metric tensors on suitable manifolds of states on A , and the covariant derivative, the geodesics, the Riemann tensor,
Florio M. Ciaglia +2 more
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Information Geometry in Roegenian Economics
Entropy, 2022 We characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors.
Constantin Udriste, Ionel Tevy
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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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Information Geometry of Complex Hamiltonians and Exceptional Points
Entropy, 2013 Information geometry provides a tool to systematically investigate the parameter sensitivity of the state of a system. If a physical system is described by a linear combination of eigenstates of a complex (that is, non-Hermitian) Hamiltonian, then there ...
Dorje C. Brody, Eva-Maria Graefe
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