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- W4282051888 abstract "We develop a provably efficient importance sampling scheme that estimates exit probabilities of solutions to small-noise stochastic reaction-diffusion equations from scaled neighborhoods of a stable equilibrium. The moderate deviation scaling allows for a local approximation of the nonlinear dynamics by their linearized version. In addition, we identify a finite-dimensional subspace where exits take place with high probability. Using stochastic control and variational methods we show that our scheme performs well both in the zero noise limit and pre-asymptotically. Simulation studies for stochastically perturbed bistable dynamics illustrate the theoretical results." @default.
- W4282051888 created "2022-06-13" @default.
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- W4282051888 date "2022-06-01" @default.
- W4282051888 modified "2023-09-24" @default.
- W4282051888 title "Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime" @default.
- W4282051888 doi "https://doi.org/10.48550/arxiv.2206.00646" @default.
- W4282051888 hasPublicationYear "2022" @default.
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