Results 1 to 10 of about 407,884 (290)
Information geometry encoded in bulk geometry [PDF]
Journal of High Energy Physics, 2020 We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT.
Asato Tsuchiya, Kazushi Yamashiro
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Information Geometry for Covariance Estimation in Heterogeneous Clutter with Total Bregman Divergence [PDF]
Entropy, 2018 This paper presents a covariance matrix estimation method based on information geometry in a heterogeneous clutter. In particular, the problem of covariance estimation is reformulated as the computation of geometric median for covariance matrices ...
Xiaoqiang Hua +3 more
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Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures [PDF]
Entropy, 2018 In this paper, we present a review of recent developments on the κ -deformed statistical mechanics in the framework of the information geometry.
Antonio M. Scarfone +2 more
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Information Geometry of Randomized Quantum State Tomography [PDF]
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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Capturing Outlines of Planar Generic Images by Simultaneous Curve Fitting and Sub-division [PDF]
Journal of Artificial Intelligence and Data Mining, 2020 In this paper, a new technique has been designed to capture the outline of 2D shapes using cubic B´ezier curves. The proposed technique avoids the traditional method of optimizing the global squared fitting error and emphasizes the local control of data ...
A.R. Ebrahimi +2 more
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Optimal projection filters with information geometry [PDF]
, 2023 We review the introduction of several types of projection filters. Projection structures coming from information geometry are used to obtain a finite dimensional filter in the form of a stochastic differential equation (SDE), starting from the exact ...
Bernard Hanzon +5 more
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Information geometry and holographic correlators
Journal of High Energy Physics, 2022 We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory.
Hardik Bohra +2 more
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Towards a canonical divergence within information geometry
, 2021 In Riemannian geometry geodesics are integral curves of the Riemannian distance gradient. We extend this classical result to the framework of Information Geometry.
Ay, N. +3 more
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Quantum information geometry of driven CFTs
Journal of High Energy Physics, 2023 Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. Of particular interest are driven conformal field theories (CFTs) which describe quantum many-body systems at criticality.
Jan de Boer +3 more
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Stochastic Chaos and Markov Blankets
Entropy, 2021 In this treatment of random dynamical systems, we consider the existence—and identification—of conditional independencies at nonequilibrium steady-state.
Karl Friston +4 more
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