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Diffusion models typically operate in the standard framework of generative modelling by producing continuously-valued datapoints.
Two singular diffusion problems
William Feller · 1951
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On the uniqueness of solutions of stochastic differential equations II
Shinzo Watanabe and Toshio Yamada · 1971
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The Statistical Analysis of Compositional Data
John Aitchison · 1982
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Reverse-time diffusion equation models
Brian D O Anderson · 1982
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A theory of the term structure of interest rates
John C Cox, Jonathan E Ingersoll Jr, and Stephen A Ross · 1985
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Time reversal of diffusions
Ulrich G Haussmann and Etienne Pardoux · 1986
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A closed-form solution for options with stochastic volatility with applications to bond and currency options
Steven Heston · 1993
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A simple class of square-root interest-rate models
Farshid Jamshidian · 1995
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Diffusions on the simplex from Brownian motions on hypersurfaces
Steven N Evans · 2003
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Monte Carlo Methods in Financial Engineering , volume 53
Paul Glasserman · 2004
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Estimation of non-normalized statistical models by score matching
Aapo Hyvärinen · 2005
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Diffusion kernels on statistical manifolds
John D. Lafferty and Guy Lebanon · 2005
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A connection between score matching and denoising autoencoders
Pascal Vincent · 2011
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Bayesian learning via stochastic gradient langevin dynamics
Max Welling and Yee Whye Teh · 2011
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Continuous Martingales and Brownian Motion , volume 293
Daniel Revuz and Marc Yor · 2013
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A complete recipe for stochastic gradient MCMC
Yian Ma, Yi-An Ma, Tianqi Chen, and Emily B. Fox · 2015
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Deep unsupervised learning using nonequilibrium thermodynamics
Jascha Sohl-Dickstein, Eric Weiss, Niru Maheswaranathan, and Surya Ganguli · 2015
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On Wasserstein reinforcement learning and the Fokker-Planck equation
Pierre H. Richemond and Brendan Maginnis · 2017
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Large-scale stochastic sampling from the probability simplex
Jack Baker, Paul Fearnhead, Emily Fox, and Christopher Nemeth · 2018
DiffDock: Diffusion steps, twists, and turns for molecular docking
Gabriele Corso, Hannes Stärk, Bowen Jing, Regina Barzilay, and T. Jaakkola · 2022
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Imagen video: High definition video generation with diffusion models
Jonathan Ho, William Chan, Chitwan Saharia, Jay Whang, Ruiqi Gao, Alexey A. Gritsenko, Diederik P. Kingma, Ben Poole, Mohammad Norouzi, David J. Fleet, and Tim Salimans · 2022
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Equivariant diffusion for molecule generation in 3D
Emiel Hoogeboom, Victor Garcia Satorras, Clement Vignac, and Max Welling · 2022
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ProDiff: Progressive fast diffusion model for high-quality text-to-speech
Rongjie Huang, Zhou Zhao, Huadai Liu, Jinglin Liu, Chenye Cui, and Yi Ren · 2022
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Planning with diffusion for flexible behavior synthesis
Michael Janner, Yilun Du, Joshua B. Tenenbaum, and Sergey Levine · 2022
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Generative modeling by estimating gradients of the data distribution
Yang Song and Stefano Ermon · 2019
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Denoising diffusion probabilistic models
Jonathan Ho, Ajay Jain, and Pieter Abbeel · 2020
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An algorithm for simulating Brownian increments on a sphere
Aleksandar Mijatovic, Veno Mramor, and Gerónimo Uribe Bravo · 2020
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Diffusion models beat GANs on image synthesis
Prafulla Dhariwal and Alex Nichol · 2021
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Diff-TTS: A denoising diffusion model for text-to-speech
Myeonghun Jeong, Hyeongju Kim, Sung Jun Cheon, Byoung Jin Choi, and Nam Soo Kim · 2021
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Analog bits: Generating discrete data using diffusion models with self-conditioning
Ting Chen, Ruixiang Zhang, and Geoffrey E. Hinton · 2022
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Diffusion-LM improves controllable text generation
Xiang Lisa Li, John Thickstun, Ishaan Gulrajani, Percy Liang, and Tatsunori Hashimoto · 2022
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Hierarchical text-conditional image generation with CLIP latents
Aditya Ramesh, Prafulla Dhariwal, Alex Nichol, Casey Chu, and Mark Chen · 2022
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Photorealistic text-to-image diffusion models with deep language understanding
Chitwan Saharia, William Chan, Saurabh Saxena, Lala Li, Jay Whang, Emily L. Denton, Seyed Kamyar Seyed Ghasemipour, Burcu Karagol Ayan, Seyedeh Sara Mahdavi, Raphael Gontijo Lopes, Tim Salimans, Jonathan Ho, David J. Fleet, and Mohammad Norouzi · 2022
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Step-unrolled denoising autoencoders for text generation
Nikolay Savinov, Junyoung Chung, Mikolaj Binkowski, Erich Elsen, and Aäron van den Oord · 2022
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Make-a-video: Text-to-video generation without text-video data
Uriel Singer, Adam Polyak, Thomas Hayes, Xiaoyue Yin, Jie An, Songyang Zhang, Qiyuan Hu, Harry Yang, Oron Ashual, Oran Gafni, Devi Parikh, Sonal Gupta, and Yaniv Taigman · 2022
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Phenaki: Variable length video generation from open domain textual description
Ruben Villegas, Mohammad Babaeizadeh, Pieter-Jan Kindermans, Hernan Moraldo, Han Zhang, Mohammad Taghi Saffar, Santiago Castro, Julius Kunze, and D. Erhan · 2022
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Language modeling via stochastic processes
Rose E. Wang, Esin Durmus, Noah D. Goodman, and Tatsunori Hashimoto · 2022
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