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We train a set of Restricted Boltzmann Machines (RBMs) on one- and two-dimensional Ising spin configurations at various values of temperature, generated using Monte Carlo simulations.
Markov random fields and their applications , volume 1
Ross Kindermann and Laurie Snell · 1980
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Massively parallel architectures for ai: NETL, Thistle, and Boltzmann Machines
Scott E. Fahlman, Geoffrey E. Hinton, and Terrence J. Sejnowski · 1983
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Optimization by simulated annealing
Scott Kirkpatrick, C. D. Gelatt, and Mario P. Vecchi · 1983
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Boltzmann machines: Constraint satisfaction networks that learn
Geoffrey E. Hinton, Terrence J. Sejnowski, and David H. Ackley · 1984
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A learning algorithm for boltzmann machines
David H. Ackley, Geoffrey E. Hinton, and Terrence J. Sejnowski · 1985
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Parallel distributed processing: Explorations in the microstructure of cognition, vol. 1, information processing in dynamical systems: foundations of harmony theory
P. Smolensky · 1986
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Nonequilibrium equality for free energy differences
C. Jarzynski · 1997
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Annealed importance sampling
Radford M. Neal · 2001
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Training products of experts by minimizing contrastive divergence
Geoffrey E. Hinton · 2002
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Information Theory, Inference & Learning Algorithms
David J. C. MacKay · 2002
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Learning and evaluating boltzmann machines
Ruslan Salakhutdinov · 2008
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A practical guide to training restricted boltzmann machines, 2010
Geoffrey Hinton · 2010
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An introduction to restricted boltzmann machines
Asja Fischer and Christian Igel · 2012
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An exact mapping between the variational renormalization group and deep learning
Deep Learning
Ian Goodfellow, Yoshua Bengio, and Aaron Courville · 2016
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Learning thermodynamics with boltzmann machines
Giacomo Torlai and Roger G. Melko · 2016
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Deep learning the ising model near criticality
Alan Morningstar and Roger G. Melko · 2017
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https://github.com/s9w/magneto
Magneto: 2D Ising model in C++ · 2018
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Scale-invariant feature extraction of neural network and renormalization group flow
Satoshi Iso, Shotaro Shiba, and Sumito Yokoo · 2018
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A high-bias, low-variance introduction to machine learning for physicists
Pankaj Mehta, Marin Bukov, Ching-Hao Wang, Alexandre G. R. Day, Clint Richardson, Charles K. Fisher, and David J. Schwab · 2018
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Pankaj Mehta and David J. Schwab · 2014
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