Physics – Computational Physics
Scientific paper
2004-11-11
Physics
Computational Physics
5 pages, 3 figures. Accepted to PRL
Scientific paper
10.1103/PhysRevLett.95.200201
We address the role of noise and the issue of efficient computation in stochastic optimal control problems. We consider a class of non-linear control problems that can be formulated as a path integral and where the noise plays the role of temperature. The path integral displays symmetry breaking and there exist a critical noise value that separates regimes where optimal control yields qualitatively different solutions. The path integral can be computed efficiently by Monte Carlo integration or by Laplace approximation, and can therefore be used to solve high dimensional stochastic control problems.
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