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Montúfar, Guido [Other]

On the Number of Linear Regions of Deep Neural Networks

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2014_73.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014073
Montúfar, Guido [Author]

Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014074
Montúfar, Guido [Author]

Mixture Decomposition of Distributions using a Decomposition of the Sample Space

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2010_39.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2010

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2010039
Montúfar, Guido [Author]; Morton, Jason [Author]

When Does a Mixture of Products Contain a Product of Mixtures?

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2014_98.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014098
Montúfar, Guido [Author]; Ay, Nihat [Author]

Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2010_23.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2010

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2010023
Montúfar, Guido [Author]; Ay, Nihat [Author]; Zahedi, Keyan [Author]

Expressive power of conditional restricted boltzmann machines

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2014_16.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014016
Montúfar, Guido [Author]; Ay, Nihat [Author]; Ghazi-Zahedi, Keyan [Author]

A Framework for Cheap Universal Approximation in Embodied Systems

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014070
Montúfar, Guido [Author]; Rauh, Johannes [Author]; Ay, Nihat [Author]

On the Fisher Metric of Conditional Probability Polytopes

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2014_87.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014087
Pascanu, Razvan [Author]; Montúfar, Guido [Author]; Bengio, Yoshua [Author]

On the number of response regions of deep feedforward networks with piecewise linear activations

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2014

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2014072
Montúfar, Guido [Author]; Rauh, Johannes [Author]; Ay, Nihat [Author]

Maximal Information Divergence from Statistical Models defined by Neural Networks

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2013_31.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2013

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2013031
Montúfar, Guido [Author]; Rauh, Johannes [Author]; Ay, Nihat [Author]

Expressive Power and Approximation Errors of Restricted Boltzmann Machines

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2011_27.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2011

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2011027
Ay, Nihat [Author]; Montúfar, Guido [Author]; Rauh, Johannes [Author]

Selection Criteria for Neuromanifolds of Stochastic Dynamics

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http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2011_15.pdf

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Leipzig: Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2011

Published in: Max-Planck-Institut für Mathematik in den Naturwissenschaften: Preprints ; 2011015
Ghazi-Zahedi, Keyan [Author]; Haeufle, Daniel F. B. [Author]; Montúfar, Guido [Author]; Schmitt, Syn [Author]; Ay, Nihat [Author]

Evaluating Morphological Computation in Muscle and DC-Motor Driven Models of Hopping Movements

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https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-836929

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Lausanne : Frontiers Media, [2023]
Müller, Johannes; Montúfar, Guido

Geometry and convergence of natural policy gradient methods

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Springer Science and Business Media LLC, 2024

Published in: Information Geometry
Merkh, Thomas; Montúfar, Guido

Factorized mutual information maximization

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Institute of Information Theory and Automation, 2020

Published in: Kybernetika
Li, Wuchen; Montúfar, Guido

Ricci curvature for parametric statistics via optimal transport

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Springer Science and Business Media LLC, 2020

Published in: Information Geometry
Seigal, Anna; Montufar, Guido

Mixtures and products in two graphical models

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Paul V. Galvin Library/Illinois Institute of Technology, 2018

Published in: Journal of Algebraic Statistics
Li, Wuchen; Montúfar, Guido

Natural gradient via optimal transport

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Springer Science and Business Media LLC, 2018

Published in: Information Geometry
Montúfar, Guido; Morton, Jason

Dimension of Marginals of Kronecker Product Models

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Society for Industrial & Applied Mathematics (SIAM), 2017

Published in: SIAM Journal on Applied Algebra and Geometry
Montúfar, Guido; Rauh, Johannes

Hierarchical models as marginals of hierarchical models

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Elsevier BV, 2017

Published in: International Journal of Approximate Reasoning

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