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Accelerating diffusions

Published in arXiv (Cornell University) • May 12, 2005
NobleIDNI2P57W78R89S50
Authors:
Chii-Ruey Hwang
,
Shu-Yin Hwang-Ma
,
Shuenn-Jyi Sheu

Abstract

Let U be a given function defined on R^d and π(x) be a density function proportional to \exp -U(x). The following diffusion X(t) is often used to sample from π(x), dX(t)=-\nabla U(X(t)) dt+\sqrt2 dW(t),\qquad X(0)=x_0. To accelerate the convergence, a family of diffusions with π(x) as their common e...

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