An efficient sampling algorithm for variational Monte Carlo.

J Chem Phys

CERMICS and INRIA Project Micmac, Ecole Nationale des Ponts et Chaussées, 6 et 8 Avenue Blaise Pascal, Cité Descartes-Champs sur Marne, 77455 Marne la Vallée Cedex 2, France.

Published: September 2006

AI Article Synopsis

  • We introduce a new algorithm for sampling the N-body density in variational Monte Carlo, utilizing a modified Ricci-Ciccotti approach for Langevin dynamics.
  • The algorithm incorporates a Metropolis-Hastings accept/reject step to enhance performance.
  • Our numerical examples with lithium, fluorine, copper atoms, and phenol molecules demonstrate that this new method outperforms traditional importance sampling techniques.

Article Abstract

We propose a new algorithm for sampling the N-body density mid R:Psi(R)mid R:(2)R(3N)mid R:Psimid R:(2) in the variational Monte Carlo framework. This algorithm is based upon a modified Ricci-Ciccotti discretization of the Langevin dynamics in the phase space (R,P) improved by a Metropolis-Hastings accept/reject step. We show through some representative numerical examples (lithium, fluorine, and copper atoms and phenol molecule) that this algorithm is superior to the standard sampling algorithm based on the biased random walk (importance sampling).

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http://dx.doi.org/10.1063/1.2354490DOI Listing

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