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Riemannian manifolds with positive mean curvature
S. B. Myers · 1941
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Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
Shing-Tung Yau · 1975
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The laplacian pyramid as a compact image code
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D. Bakry and M. Emery · 1985
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A theory for multiresolution signal decomposition: the wavelet representation
S. G. Mallat · 1989
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Brownian motion and stochastic calculus
Ioannis Karatzas · 1991
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Riemannian geometry
Manfredo Do Carmo · 1992
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General formula for lower bound of the first eigenvalue on riemannian manifolds
Mufa Chen and Fengyu Wang · 1997
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Integral curvature bounds and bounded diameter
Chadwick Sprouse · 2000
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Fast convergence for langevin diffusion with matrix manifold structure
Ankur Moitra and Andrej Risteski · 2002
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Estimation of non-normalized statistical models by score matching
Aapo Hyvarinen · 2005
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General estimate of the first eigenvalue on manifolds
Mu-Fa Chen · 2011
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A connection between score matching and denoising autoencoders
Pascal Vincent · 2011
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Analysis and Geometry of Markov Diffusion Operators
Ivan Gentil Dominique Bakry and Michel Ledoux · 2014
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Ian J. Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio · 2014
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Ricci curvature, entropy, and optimal transport , page 145–200
Shin-Ichi Ohta · 2014
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Deep generative image models using a laplacian pyramid of adversarial networks
Emily L Denton, Soumith Chintala, arthur szlam, and Rob Fergus · 2015
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Accelerating the super-resolution convolutional neural network
Chao Dong, Chen Change Loy, and Xiaoou Tang · 2016
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Testing the manifold hypothesis
Charles Fefferman, Sanjoy Mitter, and Hariharan Narayanan · 2016
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Beyond log-concavity: Provable guarantees for sampling multi-modal distributions using simulated tempering langevin monte carlo
Holden Lee, Andrej Risteski, and Rong Ge · 2018
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Introduction to Riemannian manifolds
John Lee · 2018
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Efficient and principled score estimation with nyström kernel exponential families
Dougal Sutherland, Heiko Strathmann, Michael Arbel, and Arthur Gretton · 2018
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Integral curvature bounds and bounded diameter with bakry–emery ricci tensor
Seungsu Hwang and Sanghun Lee · 2019
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Learning protein structure with a differentiable simulator
John Ingraham, Adam Riesselman, Chris Sander, and Debora Marks · 2019
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Stochastic runge-kutta accelerates langevin monte carlo and beyond
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Non-convex learning via stochastic gradient langevin dynamics: a nonasymptotic analysis
Maxim Raginsky, Alexander Rakhlin, and Matus Telgarsky · 2017
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The kato class on compact manifolds with integral bounds on the negative part of ricci curvature
Christian Rose and Peter Stollmann · 2017
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Jiaming Song, Shengjia Zhao, and Stefano Ermon · 2017
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Functional inequalities for gaussian convolutions of compactly supported measures: Explicit bounds and dimension dependence
Jean-Baptiste Bardet, Nathaël Gozlan, Florent Malrieu, and Pierre-Andre Zitt · 2018
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Xuechen Li, Denny Wu, Lester Mackey, and Murat A. Erdogdu · 2019
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Almost positive ricci curvature in kato sense – an extension of myers’ theorem, 2019
Christian Rose · 2019
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Generative modeling by estimating gradients of the data distribution
Yang Song and Stefano Ermon · 2019
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URL https://github.com/yjn870/FSRCNN-pytorch
Jeffrey Yeo, 2019 · 2019
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Creating high resolution images with a latent adversarial generator
David Berthelot, Peyman Milanfar, and Ian J. Goodfellow · 2020
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Generative modeling with denoising auto-encoders and langevin sampling, 2020
Adam Block, Youssef Mroueh, and Alexander Rakhlin · 2020
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