Rate-Distortion Auto-Encoders

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P. Vincent, H. Larochelle, Y. Bengio, and P.-A. Manzagol, “Extracting and composing robust features with denoising autoencoders,” in Proceedings of the 25th International Conference on Machine Learning , ser. ICML ’08. New York, NY, USA: ACM, 2008, pp. 1096–1103. [Online]. Available: http://doi.acm.org/10.1145/1390156.1390294

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S. Rifai, P. Vincent, X. Muller, X. Glorot, and Y. Bengio, “Contractive auto-encoders: Explicit invariance during feature extraction,” in 28th International Conference on Machine Learning , 2011

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Closest in time.