Results 21 to 30 of about 1,600,993 (289)
Information geometry of the spherical model [PDF]
Physical Review E, 2003 Motivated by previous observations that geometrizing statistical mechanics offers an interesting alternative to more standard approaches,we have recently calculated the curvature (the fundamental object in this approach) of the information geometry metric for the Ising model on an ensemble of planar random graphs.
Wolfhard Janke +2 more
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Geometry of Information Integration [PDF]
, 2018 Information geometry is used to quantify the amount of information integration within multiple terminals of a causal dynamical system. Integrated information quantifies how much information is lost when a system is split into parts and information transmission between the parts is removed. Multiple measures have been proposed as a measure of integrated
Masafumi Oizumi +2 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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Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer’s Disease MRI Data [PDF]
DiagnosticsBackground: Alzheimer’s disease is a progressive neurological condition marked by a decline in cognitive abilities. Early diagnosis is crucial but challenging due to overlapping symptoms among impairment stages, necessitating non-invasive, reliable ...
Ömer Akgüller +2 more
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Nonparametric Information Geometry [PDF]
, 2013 Submitted for publication in the Proceedings od GSI2013 Aug 28-30 2013 ...
A. Ambrosetti +43 more
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Change, time and information geometry [PDF]
AIP Conference Proceedings, 2001 Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is ``fundamental'' and deterministic or ``phenomenological'' and stochastic, all changes are described relative to an external time. Here we show that once we define what we are talking about, namely, the system, its states and a criterion to distinguish ...
Ariel Caticha
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Information Geometry, Fluctuations, Non-Equilibrium Thermodynamics, and Geodesics in Complex Systems [PDF]
Entropy, 2021 Information theory provides an interdisciplinary method to understand important phenomena in many research fields ranging from astrophysical and laboratory fluids/plasmas to biological systems.
Eun-jin Kim
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Information geometry and sufficient statistics [PDF]
Probability Theory and Related Fields, 2014 37 p, final version, minor corrections, improved ...
Nihat Ay +3 more
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Duality in Quantum Information Geometry [PDF]
Open Systems & Information Dynamics, 2004 Let [Formula: see text] be a separable Hilbert space. We consider the manifold [Formula: see text] consisting of density operators ρ on [Formula: see text] such that ρp is of trace class for some p ɛ (0, 1). We say [Formula: see text] is nearby ρ if there exists C > 1 such that C−1 ρ < σ < Cρ.
R. F. Streater
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Information geometry and phase transitions [PDF]
Physica A: Statistical Mechanics and its Applications, 2004 6 pages with 1 ...
Desmond Alexander Johnston +2 more
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