A replica exchange MCMC algorithm couples constrained and relaxed chains to sample from disconnected implicit manifolds defined by nonlinear constraints.
Transactions of the American Mathematical Society , volume=
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Establishes robustness of distribution support for guided diffusion processes under exact score access across DDIM, DDPM, and exponential integrator discretizations.
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A Replica Exchange Markov Chain Monte Carlo Method for Disconnected Implicit Manifolds via Tubular Relaxation
A replica exchange MCMC algorithm couples constrained and relaxed chains to sample from disconnected implicit manifolds defined by nonlinear constraints.
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On the Robustness of Distribution Support under Diffusion Guidance
Establishes robustness of distribution support for guided diffusion processes under exact score access across DDIM, DDPM, and exponential integrator discretizations.