Reverse-time diffusion equation models
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Anderson showed that any diffusion process in the form of Equation (15) can be reversed by solving the reverse-time SDE in Equation (18).
“Crucially, for any diffusion process in the form of Equation (15), Anderson [4] shows that it can be reversed by solving the following reverse-time SDE:”
From Diffusion Models: A Comprehensive Survey of Methods and Applications (2024) · cites this paper as [4]
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- Authors
- Anderson, B. D. O.
- Affiliations
- University of Newcastle Australia (AU)
- Corresponding author
- Anderson, Brian D.O.
- ORCID
- Anderson, Brian D.O.
- Venue
- Stochastic Processes and their Applications
- Publisher
- Elsevier BV
- Published
- 1982-05
- Volume
- 12
- Issue
- 3
- Pages
- 313-326
- ISSN
- 0304-4149 (ISSN-L)
- OpenAlex
- W1991111872
- Cited by
- 565
- References
- 19
- Citations by year
- 2026: 85 · 2025: 200 · 2024: 138 · 2023: 55 · 2022: 18 · 2021: 26 · 2020: 3 · 2019: 2 · 2018: 1 · 2017: 2 · 2016: 3 · 2014: 1
- FWCI
- 1.78
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Stochastic Processes and their Applications (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Social Sciences › Economics, Econometrics and Finance › Finance › Stochastic processes and financial applications
- Physical Sciences › Mathematics › Applied Mathematics › Differential Equations and Boundary Problems
- Keywords
- stochastic diffusion equation, time reversal, diffusion
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