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The scope of this paper is generative modeling through diffusion processes.
Reverse-Time Diffusion Equation Models
Brian D.O. Anderson · 1982
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Time Reversal of Diffusions
U. G. Haussmann and E. Pardoux · 1986
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Integration by Parts and Time Reversal for Diffusion Processes
Annie Millet, David Nualart, and Marta Sanz · 1989
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Numerical Solution of Stochastic Differential Equations
Peter E. Kloeden and Eckhard Platen · 1992
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Statistics for Spatial Data
Noel Cressie · 1993
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Simulation of Stationary Gaussian Processes in [0,1]d
Andrew T. A. Wood and Grace Chan · 1994
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Introduction to the Theory of Diffusion Processes , volume 142
NV Krylov · 1995
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Brownian Motion and Stochastic Calculus
Ioannis Karatzas and Steven E. Shreve · 1996
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Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
C. R. Dietrich and G. N. Newsam · 1997
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Diffusions, Markov Processes and Martingales: Volume 2: Itô Calculus , volume 2
L Chris G Rogers and David Williams · 2000
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Fast Sampling of Gaussian Markov Random Fields
Havard Rue · 2001
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The General Mixture-Diffusion SDE and Its Relationship with an Uncertain-Volatility Option Model with Volatility-Asset Decorrelation, December 2002
Damiano Brigo · 2002
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Hååvard Rue and Hååkon Tjelmeland · 2002
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Stochastic Differential Equations: An Introduction with Applications
B. K. Øksendal · 2003
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Jascha Sohl-Dickstein, Eric Weiss, Niru Maheswaranathan, and Surya Ganguli · 2015
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Mogens Bladt, Samuel Finch, and Michael Sørensen · 2016
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Simo Särkkä and Arno Solin · 2019
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Valentin De Bortoli, James Thornton, Jeremy Heng, and Arnaud Doucet · 2021
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Score-Based Generative Modeling through Stochastic Differential Equations
Yang Song, Jascha Sohl-Dickstein, Diederik P Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole · 2021
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