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physics.comp-ph2004
Markov Chains of Infinite Order and Asymptotic Satisfaction of Balance: Application to the Adaptive Integration Method
David J. Earl, Michael W. Deem
Adaptive Monte Carlo methods can be viewed as implementations of Markov chains with infinite memory. We derive a general condition for the convergence of a Monte Carlo method whose…
physics.comp-ph2004
Optimal Allocation of Replicas to Processors in Parallel Tempering Simulations
David J. Earl, Michael W. Deem
The optimal allocation of replicas to a homogeneous or heterogenous set of processors is derived for parallel tempering simulations on multi-processor machines. In the general case…