Title
Self-Avoiding Random Dynamics on Integer Complex Systems
Abstract
This article introduces a new specialized algorithm for equilibrium Monte Carlo sampling of binary-valued systems, which allows for large moves in the state space. This is achieved by constructing self-avoiding walks (SAWs) in the state space. As a consequence, many bits are flipped in a single MCMC step. We name the algorithm SARDONICS, an acronym for Self-Avoiding Random Dynamics on Integer Complex Systems. The algorithm has several free parameters, but we show that Bayesian optimization can be used to automatically tune them. SARDONICS performs remarkably well in a broad number of sampling tasks: toroidal ferromagnetic and frustrated Ising models, 3D Ising models, restricted Boltzmann machines and chimera graphs arising in the design of quantum computers.
Year
DOI
Venue
2013
10.1145/2414416.2414790
ACM Trans. Model. Comput. Simul.
Keywords
Field
DocType
equilibrium monte carlo sampling,ising model,algorithm sardonics,self-avoiding random dynamics,frustrated ising model,state space,bayesian optimization,complex systems,sampling task,new specialized algorithm,gibbs sampling,monte carlo,markov chain monte carlo
Monte Carlo method in statistical physics,Slice sampling,Mathematical optimization,Boltzmann machine,Computer science,Hybrid Monte Carlo,Quantum computer,Monte Carlo integration,Statistics,State space,Monte Carlo molecular modeling
Journal
Volume
Issue
ISSN
23
1
1049-3301
Citations 
PageRank 
References 
5
0.61
24
Authors
3
Name
Order
Citations
PageRank
Firas Hamze113114.05
Ziyu Wang237223.71
Nando De Freitas33284273.68