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We present an efficient classical algorithm for training deep Boltzmann machines (DBMs) that uses rejection sampling in concert with variational approximations to estimate the gradients of the training objective function.
An introduction to variational methods for graphical models
Michael I Jordan, Zoubin Ghahramani, Tommi S Jaakkola, and Lawrence K Saul · 1999
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Training products of experts by minimizing contrastive divergence
Geoffrey Hinton · 2002
Earlier work this paper cites.
A new learning algorithm for mean field boltzmann machines
Max Welling and Geoffrey E Hinton · 2002
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Fractional belief propagation
Wim Wiegerinck, Tom Heskes, et al · 2003
Earlier work this paper cites.
Tree-reweighted belief propagation algorithms and approximate ml estimation by pseudo-moment matching
Martin J Wainwright, Tommi S Jaakkola, and Alan S Willsky · 2003
Earlier work this paper cites.
Bayesian learning in undirected graphical models: approximate mcmc algorithms
Iain Murray and Zoubin Ghahramani · 2004
Cited alongside, same era.
Divergence measures and message passing
Tom Minka · 2005
Cited alongside, same era.
Learning deep architectures for ai
Yoshua Bengio · 2009
Cited alongside, same era.
Using fast weights to improve persistent contrastive divergence
Tijmen Tieleman and Geoffrey Hinton · 2009
Cited alongside, same era.
Sampling from the thermal quantum gibbs state and evaluating partition functions with a quantum computer
David Poulin and Pawel Wocjan · 2009
Cited alongside, same era.
On the convergence properties of contrastive divergence
Ilya Sutskever and Tijmen Tieleman · 2010
Later among the works it cites.
Learning a better representation of speech soundwaves using restricted boltzmann machines
Navdeep Jaitly and Geoffrey Hinton · 2011
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Quantum rejection sampling
Maris Ozols, Martin Roetteler, and Jérémie Roland · 2013
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Nathan Wiebe, Ashish Kapoor, and Krysta M Svore · 2014
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The shape boltzmann machine: a strong model of object shape
SM Ali Eslami, Nicolas Heess, Christopher KI Williams, and John Winn · 2014
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