Results 21 to 30 of about 1,328,298 (163)
Biology, geometry and information [PDF]
Theory in Biosciences, 2021 AbstractThe main thesis developed in this article is that the key feature of biological life is the a biological process can control and regulate other processes, and it maintains that ability over time. This control can happen hierarchically and/or reciprocally, and it takes place in three-dimensional space.
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Foliations-Webs-Hessian Geometry-Information Geometry-Entropy and Cohomology
Entropy, 2016 IN MEMORIAM OF ALEXANDER GROTHENDIECK. THE MAN.
Michel Nguiffo Boyom
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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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Transversely Hessian foliations and information geometry [PDF]
, 2015 A family of probability distributions parametrized by an open domain $\Lambda$ in $R^n$ defines the Fisher information matrix on this domain which is positive semi-definite.
Boyom, Michel Nguiffo, Wolak, Robert A.
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Information geometry for phylogenetic trees [PDF]
Journal of Mathematical Biology, 2021 AbstractWe propose a new space of phylogenetic trees which we callwald space. The motivation is to develop a space suitable for statistical analysis of phylogenies, but with a geometry based on more biologically principled assumptions than existing spaces: in wald space, trees are close if they induce similar distributions on genetic sequence data.
Garba, M. K. +7 more
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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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Computational Information Geometry in Statistics: Theory and Practice
Entropy, 2014 A broad view of the nature and potential of computational information geometry in statistics is offered. This new area suitably extends the manifold-based approach of classical information geometry to a simplicial setting, in order to obtain an ...
Frank Critchley, Paul Marriott
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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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From Information Geometry to Newtonian Dynamics [PDF]
, 2007 Newtonian dynamics is derived from prior information codified into an appropriate statistical model. The basic assumption is that there is an irreducible uncertainty in the location of particles so that the state of a particle is defined by a probability
Adom Giffin +6 more
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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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