Nonlinear modification of Ornstein-Uhlenbeck dynamics produces condensation in a Fokker-Planck equation and yields a stabilized reverse PDE that reconstructs the initial distribution for generative modeling.
Anderson, Reverse-time diffusion equation models, Stochastic Processes and their Applications, Volume 12, Issue 3
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A PDE-Based Framework for Generative Modeling Beyond Classical Score-Based Diffusion
Nonlinear modification of Ornstein-Uhlenbeck dynamics produces condensation in a Fokker-Planck equation and yields a stabilized reverse PDE that reconstructs the initial distribution for generative modeling.