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The Boltzmann machine provides a useful framework to learn highly complex, multimodal and multiscale data distributions that occur in the real world.
A learning algorithm for Boltzmann machines
David H. Ackley, Geoffrey E. Hinton, and Terrence J. Sejnowski · 1985
Earlier work this paper cites.
The earth mover’s distance, multi-dimensional scaling, and color-based image retrieval
Y. Rubner, L.J. Guibas, and C. Tomasi · 1997
Earlier work this paper cites.
Gradient-based learning applied to document recognition
Y. LeCun, L. Bottou, Y. Bengio, and P. Haffner · 1998
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Training products of experts by minimizing contrastive divergence
Geoffrey E. Hinton · 2002
Earlier work this paper cites.
On minimum Kantorovich distance estimators
Federico Bassetti, Antonella Bodini, and Eugenio Regazzini · 2006
Earlier work this paper cites.
Training restricted Boltzmann machines using approximations to the likelihood gradient
Tijmen Tieleman · 2008
Earlier work this paper cites.
Deep Boltzmann machines
Ruslan Salakhutdinov and Geoffrey E. Hinton · 2009
Cited alongside, same era.
Optimal transport: old and new
C. Villani · 2009
Cited alongside, same era.
Phone recognition with the mean-covariance restricted Boltzmann machine
George E. Dahl, Marc’Aurelio Ranzato, Abdel-rahman Mohamed, and Geoffrey E. Hinton · 2010
Cited alongside, same era.
Inductive principles for restricted Boltzmann machine learning
Benjamin M. Marlin, Kevin Swersky, Bo Chen, and Nando de Freitas · 2010
Cited alongside, same era.
Robust statistics
Peter J Huber · 2011
Cited alongside, same era.
Deep Boltzmann machines and the centering trick
Grégoire Montavon and Klaus-Robert Müller · 2012
Cited alongside, same era.
Robust Boltzmann machines for recognition and denoising
Yichuan Tang, Ruslan Salakhutdinov, and Geoffrey E. Hinton · 2012
Later among the works it cites.
The PLANTS Database, 2012
United States Department of Agriculture · 2012
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Enhanced gradient for training restricted Boltzmann machines
KyungHyun Cho, Tapani Raiko, and Alexander Ilin · 2013
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Sinkhorn distances: Lightspeed computation of optimal transport
Marco Cuturi · 2013
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Fast computation of Wasserstein barycenters
Marco Cuturi and Arnaud Doucet · 2014
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Multimodal learning with deep Boltzmann machines
Nitish Srivastava and Ruslan Salakhutdinov · 2014
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