MONTE CARLO WITHOUT CHAINS

被引：4

作者：

Chorin, Alexandre J. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE | 2008年 / 3卷 / 01期

基金：

美国国家科学基金会;

关键词：

Monte Carlo; no Markov chain; marginal; spin glass;

D O I：

10.2140/camcos.2008.3.77

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sampling method for spin systems is presented. The spin lattice is written as the union of a nested sequence of sublattices, all but the last with conditionally independent spins, which are sampled in succession using their marginals. The marginals are computed concurrently by a fast algorithm; errors in the evaluation of the marginals are offset by weights. There are no Markov chains and each sample is independent of the previous ones; the cost of a sample is proportional to the number of spins (but the number of samples needed for good statistics may grow with array size). The examples include the Edwards-Anderson spin glass in three dimensions.

引用

页码：77 / 93

页数：17

共 50 条

[31] MONTE-CARLO STUDY OF QUANTUM SPIN CHAINS
MESHKOV, SV
[J]. PHYSICAL REVIEW B, 1993, 48 (09): : 6167 - 6178
[32] The Monte Carlo dynamics of polymer chains in sandwich brushes
Piotr Romiszowski
Andrzej Sikorski
[J]. Rheologica Acta, 2008, 47 : 565 - 569
[33] Information gains from Monte Carlo Markov Chains
Mehrabi, Ahmad
Ahmadi, A.
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (05):
[34] Hamiltonian Monte Carlo Without Detailed Balance
Sohl-Dickstein, Jascha
Mudigonda, Mayur
DeWeese, Michael R.
[J]. INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 32 (CYCLE 1), 2014, 32
[35] Markov chain Monte Carlo without likelihoods
Marjoram, P
Molitor, J
Plagnol, V
Tavaré, S
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2003, 100 (26) : 15324 - 15328
[36] DYNAMICS OF POLYMER CHAINS AS STUDIED BY MONTE-CARLO METHOD
TARAN, IA
[J]. DOKLADY AKADEMII NAUK SSSR, 1970, 191 (06): : 1330 - &
[37] Regional Monte Carlo potential calculation using Markov chains
Sadiku, MNO
Gu, KM
Obiozor, CN
[J]. INTERNATIONAL JOURNAL OF ENGINEERING EDUCATION, 2002, 18 (06) : 745 - 752
[38] ACCURACY OF MONTE CARLO METHODS IN COMPUTING FINITE MARKOV CHAINS
BAZLEY, NW
DAVIS, PJ
[J]. JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1960, 64 (04): : 211 - 215
[39] The structure of polymer chains in confinement. A Monte Carlo study
Piotr Romiszowski
Andrzej Sikorski
[J]. Journal of Molecular Modeling, 2009, 15 : 681 - 686
[40] Monte Carlo studies on the deformation Behavior of entangled polymer chains
Wacha, M
Kreitmeier, S
[J]. MACROMOLECULAR THEORY AND SIMULATIONS, 2002, 11 (04) : 438 - 444

← 1 2 3 4 5 →