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Neural-network-based compressors have proven to be remarkably effective at compressing sources, such as images, that are nominally high-dimensional but presumed to be concentrated on a low-dimensional manifold.
“Rate Distortion Theory: A Mathematical Basis for Data Compression”
Toby Berger · 1971
Earlier work this paper cites.
“Principles of Mathematical Analysis”
Walter Rudin · 1976
Earlier work this paper cites.
“Stochastic Processes in Engineering Systems”
Eugene and Bruce · 1985
Earlier work this paper cites.
“Wavelets and Applications”
Yves Meyer · 1992
Earlier work this paper cites.
“Multilayer Feedforward Networks with a Nonpolynomial Activation Function Can Approximate Any Function”
Moshe Leshno, Vladimir. Lin, Allan Pinkus and Shimon Schocken · 1993
Earlier work this paper cites.
“Rate-Distortion Performance in Coding Bandlimited Sources by Sampling and Dithered Quantization”
Ram Zamir and Meir Feder · 1995
Earlier work this paper cites.
“Data Compression and Harmonic Analysis”
David. Donoho, Martin Vetterli, R.. DeVore and Ingrid Daubechies · 1998
Cited alongside, same era.
“Real Analysis”
Gerald · 1999
Cited alongside, same era.
“Optimal Entropy-Constrained Scalar Quantization of a Uniform Source”
András György and Tamás Linder · 2000
Cited alongside, same era.
“Reducing the Dimensionality of Data with Neural Networks”
Geoffrey. Hinton and R.. Salakhutdinov · 2006
Cited alongside, same era.
“Elements of Information Theory”
Thomas. Cover and Joy. Thomas · 2006
Cited alongside, same era.
“Neural Networks Optimally Compress the Sawbridge” to appear on arXiv
A.. Wagner and Johannes Ballé
Cited in the paper.
“Digital Signal Compression: Principles and Practice”
William A. and Amir Said · 2011
Later among the works it cites.
“Minimum Expected Length of Fixed-to-Variable Lossless Compression Without Prefix Constraints”
Wojciech Szpankowski and Sergio Verdú · 2011
Later among the works it cites.
“On Universal Quantization by Randomized Uniform/Lattice Quantizers”
Ram Zamir and Meir Feder · 2011
Later among the works it cites.
“The Local Low-Dimensionality of Natural Images”
Olivier Hénaff, Johannes Ballé, Neil. Rabinowitz and Eero. Simoncelli · 2015
Later among the works it cites.
“Nonlinear Transform Coding” to appear
Johannes Ballé et al · 2020
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