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Marginalising out uncertain quantities within the internal representations or parameters of neural networks is of central importance for a wide range of learning techniques, such as empirical, variational or full Bayesian methods.
Minimum-description-length principle
Rissanen, Jorma · 1985
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Bayesian back-propagation
Buntine, Wray L and Weigend, Andreas S · 1991
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Probability and random processes , volume 2
Grimmett, Geoffrey and Stirzaker, David · 1992
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A practical bayesian framework for backpropagation networks
MacKay, David JC · 1992
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Keeping the neural networks simple by minimizing the description length of the weights
Hinton, Geoffrey E and Van Camp, Drew · 1993
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Probabilistic inference using markov chain monte carlo methods
Neal, Radford M · 1993
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Probable networks and plausible predictions-a review of practical bayesian methods for supervised neural networks
MacKay, David JC · 1995
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New extension of the kalman filter to nonlinear systems
Julier, Simon J and Uhlmann, Jeffrey K · 1997
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The minimum description length principle
Grünwald, Peter D · 2007
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Bergstra, James, Breuleux, Olivier, Bastien, Frédéric, Lamblin, Pascal, Pascanu, Razvan, Desjardins, Guillaume, Turian, Joseph, Warde-Farley, David, and Bengio, Yoshua · 2010
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Practical variational inference for neural networks
Graves, Alex · 2011
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Improving neural networks by preventing co-adaptation of feature detectors
Hinton, Geoffrey E, Srivastava, Nitish, Krizhevsky, Alex, Sutskever, Ilya, and Salakhutdinov, Ruslan R · 2012
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Regularization of neural networks using dropconnect
Wan, Li, Zeiler, Matthew, Zhang, Sixin, Cun, Yann L, and Fergus, Rob · 2013
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Wang, Sida and Manning, Christopher · 2013
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GPy: A Gaussian process framework in python
GPy authors, The · 2014
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Adam: A method for stochastic optimization
Kingma, Diederik and Ba, Jimmy · 2014
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Weight uncertainty in neural networks
Blundell, Charles, Cornebise, Julien, Kavukcuoglu, Koray, and Wierstra, Daan · 2015
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Graves, Alex · 2013
Cited alongside, same era.
Auto-encoding variational bayes
Kingma, Diederik P and Welling, Max · 2013
Cited alongside, same era.
Hernández-Lobato, José Miguel and Adams, Ryan P · 2015
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Variational dropout and the local reparameterization trick
Kingma, Diederik P, Salimans, Tim, and Welling, Max · 2015
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