Results 51 to 60 of about 407,884 (290)
Divergence Functions in Information Geometry [PDF]
, 2019 10 ...
Domenico Felice, Nihat Ay
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Kählerian Information Geometry for Signal Processing
Entropy, 2015 We prove the correspondence between the information geometry of a signal filter and a Kähler manifold. The information geometry of a minimum-phase linear system with a finite complex cepstrum norm is a Kähler manifold.
Jaehyung Choi, Andrew P. Mullhaupt
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A Simple Approximation Method for the Fisher–Rao Distance between Multivariate Normal Distributions
Entropy, 2023 We present a simple method to approximate the Fisher–Rao distance between multivariate normal distributions based on discretizing curves joining normal distributions and approximating the Fisher–Rao distances between successive nearby normal ...
Frank Nielsen
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Geometric Structures Induced by Deformations of the Legendre Transform
Entropy, 2023 The recent link discovered between generalized Legendre transforms and non-dually flat statistical manifolds suggests a fundamental reason behind the ubiquity of Rényi’s divergence and entropy in a wide range of physical phenomena.
Pablo A. Morales +2 more
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Far from Asymptopia: Unbiased High-Dimensional Inference Cannot Assume Unlimited Data
Entropy, 2023 Inference from limited data requires a notion of measure on parameter space, which is most explicit in the Bayesian framework as a prior distribution. Jeffreys prior is the best-known uninformative choice, the invariant volume element from information ...
Michael C. Abbott, Benjamin B. Machta
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Issues in the teaching and learning of geometry
, 2002 This chapter analyses a range of key issues in the teaching and learning of geometry. These include the nature of geometry, why geometry is important in the curriculum at school level and beyond, what geometry can be included at the school level, the ...
Jones, Keith
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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.
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Entropic Dynamics in a Theoretical Framework for Biosystems
Entropy, 2023 Central to an understanding of the physical nature of biosystems is an apprehension of their ability to control entropy dynamics in their environment.
Richard L. Summers
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Information Geometry of Dropout Training
CoRR, 2022 Dropout is one of the most popular regularization techniques in neural network training. Because of its power and simplicity of idea, dropout has been analyzed extensively and many variants have been proposed. In this paper, several properties of dropout are discussed in a unified manner from the viewpoint of information geometry.
Masanari Kimura, Hideitsu Hino
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source