Geometry of the restricted Boltzmann machine (original) (raw)

Information-geometrical characterization of statistical models which are statistically equivalent to probability simplexes

Hiroshi Nagaoka

arXiv (Cornell University), 2017

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Algebraic and Geometric Methods in Statistics

Henry Wynn

2009

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Algebraic geometry of Bayesian networks

Luis Garcia

Journal of Symbolic Computation, 2005

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Algebraic methods in random matrices and enumerative geometry

Nicolas Orantin, Bertrand Eynard

Arxiv preprint arXiv:0811.3531, 2008

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A geometrical derivation of the Boltzmann factor

Xavier Calbet

American Journal of Physics, 2008

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Article Information Geometric Complexity of a Trivariate Gaussian Statistical Model

Domenico Felice

2014

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Polynomial Threshold Functions, Hyperplane Arrangements, and Random Tensors

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SIAM Journal on Mathematics of Data Science

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Some Experiments with Algebraic Statistics

Jerome LE NY

2006

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Information Geometric Complexity of a Trivariate Gaussian Statistical Model

Domenico Felice

Entropy, 2014

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The dimension and Euler characteristic of random graphs

Oliver Knill

2011

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Bayes factors and the geometry of discrete hierarchical loglinear models

Gérard Letac

The Annals of Statistics, 2012

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An implicitization challenge for binary factor analysis

Maria Angelica Cueto

Journal of Symbolic Computation, 2010

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Algebraic geometric comparison of probability distributions

Klaus-robert Müller

2012

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Information geometric complexity of a

Domenico Felice

2014

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Information-Geometric Dimensionality Reduction

Alfred O. Hero

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Stochastic factorizations, sandwiched simplices and the topology of the space of explanations

David Mond

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2003

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Information geometry and sufficient statistics

Vân Lê

Probability Theory and Related Fields, 2014

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Information geometric methods for complexity

Domenico Felice

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018

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Boltzmann Samplers, Pólya Theory, and Cycle Pointing

Manuel Bodirsky

SIAM Journal on Computing, 2011

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An elementary account of Amari's expected geometry

Mark Salmon

Applications of Differential Geometry to Econometrics, 2000

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An algebraic approach to information theory

Samuel Braunstein

2010 IEEE International Symposium on Information Theory, 2010

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Information Geometry of the Probability Simplex: A Short Course

Giovanni Pistone

Nonlinear Phenomena in Complex Systems

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Elementary Structures of Information Geometry: Koszul-Souriau Characteristic Function, Fisher-Souriau Metric & Higher Order Maximum Entropy Density « Data Science sur un plateau » Seminar 22/01/2018 ENSAE – Paris-Saclay Campus

Frederic Barbaresco, Frederic Barbaresco

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