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We discuss the similarities and differences between training an auto-encoder to minimize the reconstruction error, and training the same auto-encoder to compress the data via a generative model.
Learning sets of filters using back-propagation
David C. Plaut and Geoffrey Hinton · 1987
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Keeping the neural networks simple by minimizing the description length of the weights
Geoffrey E. Hinton and Drew van Camp · 1993
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Training with noise is equivalent to Tikhonov regularization
Christopher M. Bishop · 1995
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Efficient backprop
Yann LeCun, Léon Bottou, Genevieve B. Orr, and Klaus-Robert Müller · 1996
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Noise injection: Theoretical prospects
Yves Grandvalet, Stéphane Canu, and Stéphane Boucheron · 1997
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Pattern recognition and machine learning
Christopher M. Bishop · 2006
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Reducing the dimensionality of data with neural networks
Geoffrey E. Hinton and Ruslan R. Salakhutdinov · 2006
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The minimum description length principle
Peter D. Grünwald · 2007
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Pascal Vincent, Hugo Larochelle, Isabelle Lajoie, Yoshua Bengio, and Pierre-Antoine Manzagol · 2010
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Practical variational inference for neural networks
Alex Graves · 2011
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Contractive auto-encoders: Explicit invariance during feature extraction
Salah Rifai, Pascal Vincent, Xavier Muller, Xavier Glorot, and Yoshua Bengio · 2011
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Layer-wise training of deep generative models
Ludovic Arnold and Yann Ollivier · 2012
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Stochastic gradient VB and the variational auto-encoder
Diederik P. Kingma and Max Welling · 2013
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Riemannian metrics for neural networks I: feedforward networks
Yann Ollivier · 2013
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