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- W1912547229 abstract "Hybrid Monte Carlo methods are a class of algorithms for sampling probability measures defined via a density with respect to Lebesgue measure. However, in many applications the probability measure of interest is on an infinite dimensional Hilbert space and is defined via a density with respect to a Gaussian measure. I will show how the Hybrid Monte Carlo methodology can be extended to this Hilbert space setting. A key building block is the study of measure preservation properties for certain semilinear partial differential equations of Hamiltonian type, and approximation of these equations by volume-preserving integrators. Joint work with A. Beskos (UCL), F. Pinski (Cincinnati) and J.-M. Sanz-Serna (Valladolid)." @default.
- W1912547229 created "2016-06-24" @default.
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- W1912547229 date "2010-06-30" @default.
- W1912547229 modified "2023-09-26" @default.
- W1912547229 title "The hybrid Monte Carlo algorithm on Hilbert space" @default.
- W1912547229 hasPublicationYear "2010" @default.
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