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The manifold hypothesis states that many kinds of high-dimensional data are concentrated near a low-dimensional manifold.
Engineering applications of noncommutative harmonic analysis: with emphasis on rotation and motion groups
Chirikjian, Gregory S and Kyatkin, Alexander B · 2000
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Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
Hall, B · 2003
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Information-theoretic inequalities on unimodular lie groups
Chirikjian, Gregory S · 2010
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Stochastic Models, Information Theory, and Lie Groups
Chirikjian, Gregory S · 2012
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Auto-encoding variational bayes
Kingma, Diederik P. and Welling, Max · 2013
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Stochastic backpropagation and approximate inference in deep generative models
Rezende, Danilo Jimenez, Mohamed, Shakir, and Wierstra, Daan · 2014
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Harmonic exponential families on manifolds
Cohen, Taco S and Welling, Max · 2015
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Variational inference with normalizing flows
Rezende, Danilo and Mohamed, Shakir · 2015
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Importance weighted autoencoders
Burda, Yuri, Grosse, Roger, and Salakhutdinov, Ruslan · 2016
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Harmonic Analysis for Engineers and Applied Scientists: Updated and Expanded Edition
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Group equivariant convolutional networks
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Steerable cnns
Cohen, Taco S and Welling, Max · 2017
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The concrete distribution: A continuous relaxation of discrete random variables
Maddison, Chris J, Mnih, Andriy, and Teh, Yee Whye · 2017
VAE with a VampPrior
Tomczak, Jakub M and Welling, Max · 2017
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Harmonic networks: Deep translation and rotation equivariance
Worrall, Daniel E, Garbin, Stephan J, Turmukhambetov, Daniyar, and Brostow, Gabriel J · 2017
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Sylvester normalizing flows for variational inference
Berg, Rianne van den, Hasenclever, Leonard, Tomczak, Jakub M, and Welling, Max · 2018
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Understanding disentangling in b e t a beta -vae
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Davidson, Tim R., Falorsi, Luca, Cao, Nicola De, Kipf, Thomas, and Tomczak, Jakub M · 2018
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Neural scene representation and rendering
Eslami, S. M. Ali, Jimenez Rezende, Danilo, Besse, Frederic, Viola, Fabio, Morcos, Ari S., Garnelo, Marta, Ruderman, Avraham, Rusu, Andrei A., Danihelka, Ivo, Gregor, Karol, Reichert, David P., Buesing, Lars, Weber, Theophane, Vinyals, Oriol, Rosenbaum, Dan, Rabinowitz, Neil, King, Helen, Hillier, Chloe, Botvinick, Matt, Wierstra, Daan, Kavukcuoglu, Koray, and Hassabis, Demis · 2018
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Reparameterization gradients through acceptance-rejection sampling algorithms
Naesseth, Christian, Ruiz, Francisco, Linderman, Scott, and Blei, David · 2017
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Stick-breaking variational autoencoders
Nalisnick, Eric and Smyth, Padhraic · 2017
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Spherical CNNs
Cohen, Taco S., Geiger, Mario, Köhler, Jonas, and Welling, Max
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Intertwiners between induced representations (with applications to the theory of equivariant neural networks)
Cohen, Taco S, Geiger, Mario, and Weiler, Maurice
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Des lois géométriques qui régissent les déplacements d’un système solide dans l’espace: et de la variation des cordonnées provenant de ces déplacements considérés indépendamment des causes qui peuvent les produire
Rodrigues, Olinde
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Implicit reparameterization gradients
Figurnov, Michael, Mohamed, Shakir, and Mnih, Andriy · 2018
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Learning steerable filters for rotation equivariant CNNs
Weiler, Maurice, Hamprecht, Fred A, and Storath, Martin · 2018
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