Results 81 to 90 of about 1,328,298 (163)
Duality of Maximum Entropy and Minimum Divergence
Entropy, 2014 We discuss a special class of generalized divergence measures by the use of generator functions. Any divergence measure in the class is separated into the difference between cross and diagonal entropy. The diagonal entropy measure in the class associates
Shinto Eguchi +2 more
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Information geometry of Markov Kernels: a survey [PDF]
, 2023 Geoffrey Wolfer, Shun Watanabe
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Clustering Financial Return Distributions Using the Fisher Information Metric
Entropy, 2019 Information geometry provides a correspondence between differential geometry and statistics through the Fisher information matrix. In particular, given two models from the same parametric family of distributions, one can define the distance between these
Stephen Taylor
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Information Geometry of Randomized Quantum State Tomography
Entropy, 2018 Suppose that a d-dimensional Hilbert space H ≃ C d admits a full set of mutually unbiased bases | 1 ( a ) 〉 , ⋯ , | d ( a ) 〉 , where a = 1 , ⋯ , d + 1 .
Akio Fujiwara, Koichi Yamagata
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Information geometry of Gaussian channels
, 2010 We define a local Riemannian metric tensor in the manifold of Gaussian channels and the distance that it induces. We adopt an information-geometric approach and define a metric derived from the Bures-Fisher metric for quantum states. The resulting metric
A. S. Holevo +17 more
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Information Geometry of Quantum Resources [PDF]
, 2018 Contribution to Information Geometry and Its Applications ...
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Infinite dimensional quantum information geometry [PDF]
AIP Conference Proceedings, 2001 Proceedings of the Disordered and Complex Systems, King's College, London, 10-14 July 2000 (satellite meeting of the ICMP2000)
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Information geometry and Bose–Einstein condensation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 It is a long held conjecture in the connection between information geometry (IG) and thermodynamics that the curvature endowed by IG diverges at phase transitions. Recent work on the IG of Bose–Einstein (BE) gases challenged this conjecture by saying that in the limit of fugacity approaching unit—where BE condensation is expected—the curvature does not
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Comparing the Zeta Distributions with the Pareto Distributions from the Viewpoint of Information Theory and Information Geometry: Discrete versus Continuous Exponential Families of Power Laws [PDF]
, 2022 Frank Nielsen
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Eye movements and information geometry
Journal of the Optical Society of America A, 2016 The human visual system uses eye movements to gather visual information. They act as visual scanning processes and can roughly be divided into two different types: small movements around fixation points and larger movements between fixation points. The processes are often modeled as random walks, and recent models based on heavy tail distributions ...
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