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We propose a new Integral Probability Metric (IPM) between distributions: the Sobolev IPM.
Infinite-dimensional Optimization and Convexity
I. Ekeland and T. Turnbull · 1983
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Integral probability metrics and their generating classes of functions
Alfred Müller · 1997
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Manifold regularization: A geometric framework for learning from labeled and unlabeled examples
Mikhail Belkin, Partha Niyogi, and Vikas Sindhwani · 2006
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Learning multiple layers of features from tiny images
A. Krizhevsky and G. Hinton · 2009
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On integral probability metrics, ϕ \phi -divergences and binary classification
Bharath K. Sriperumbudur, Kenji Fukumizu, Arthur Gretton, Bernhard Scholkopf, and Gert R. G. Lanckriet · 2009
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A kernel two-sample test
Arthur Gretton, Karsten M Borgwardt, Malte J Rasch, Bernhard Schölkopf, and Alexander Smola · 2012
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On the empirical estimation of integral probability metrics
Bharath K. Sriperumbudur, Kenji Fukumizu, Arthur Gretton, Bernhard Schölkopf, and Gert R. G. Lanckriet · 2012
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Generative adversarial nets
Ian Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio · 2014
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Training generative neural networks via maximum mean discrepancy optimization
Gintare Karolina Dziugaite, Daniel M. Roy, and Zoubin Ghahramani · 2015
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Batch normalization: Accelerating deep network training by reducing internal covariate shift
Sergey Ioffe and Christian Szegedy · 2015
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Generative moment matching networks
Yujia Li, Kevin Swersky, and Richard Zemel · 2015
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A Theoretical Analysis of Optimization by Gaussian Continuation
Hossein Mobahi and John W. Fisher III · 2015
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Unsupervised representation learning with deep convolutional generative adversarial networks
Alec Radford, Luke Metz, and Soumith Chintala · 2015
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Unsupervised and semi-supervised learning with categorical generative adversarial networks
Jost Tobias Springenberg · 2015
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Ahmed El Alaoui, Xiang Cheng, Aaditya Ramdas, Martin J. Wainwright, and Michael I. Jordan · 2016
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