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- W2012806029 abstract "In contrast with most Monte Carlo integration algorithms, which are used to estimate ratios, the replica gas identities recently introduced by Adib enable the estimation of absolute integrals and partition functions using multiple copies of a system and normalized transition functions. Here, an optimized form is presented. After generalizing a replica gas identity with an arbitrary weighting function, we obtain a functional form that has the minimal asymptotic variance for samples from two replicas and is provably good for a larger number. This equation is demonstrated to improve the convergence of partition function estimates in a two-dimensional Ising model." @default.
- W2012806029 created "2016-06-24" @default.
- W2012806029 creator A5087396555 @default.
- W2012806029 date "2010-09-24" @default.
- W2012806029 modified "2023-09-25" @default.
- W2012806029 title "Optimized replica gas estimation of absolute integrals and partition functions" @default.
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- W2012806029 doi "https://doi.org/10.1103/physreve.82.031132" @default.
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