TY - DATA T1 - Code underlying the publication: Simulation of infinite-dimensional diffusion bridges PY - 2025/07/11 AU - Thorben Pieper UR - DO - 10.4121/d12c7073-0d02-454d-abfc-ff05151017e3.v1 KW - Doob’s h-transform KW - Exponential change of measure KW - Guided process KW - Infinite-dimensional diffusion bridge KW - Monte Carlo methods KW - Semilinear SPDE KW - SPDE bridge KW - Stochastic Amari equation KW - Stochastic Allen-Cahn equation N2 -
Code to run the experiments presented in Pieper-Sethmacher et al. (2025) Simulation of infinite-dimensional diffusion bridges, arXiv preprint, arXiv:2503.13177.
The source code implements the Metropolis Hastings sampler in Algorithm 1 of the paper, drawing samples of an infinite dimensional diffusion bridge conditioned on a partial observation. Code is written in Julia. Source code is under src. Executing the driver files returns the simulations and figures of Examples 5.5 and 5.6.
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