Stochastic Gradient Approximation: An Efficient Method to Optimize Many-Body Wave Functions

Phys. Rev. Lett. 79, 1173 – Published 18 August 1997
A. Harju, B. Barbiellini, S. Siljamäki, R. M. Nieminen, and G. Ortiz


A novel, efficient optimization method for physical problems is presented. The method utilizes the noise inherent in stochastic functions. As an application, an algorithm for the variational optimization of quantum many-body wave functions is derived. The numerical results indicate superior performance when compared to traditional techniques.


  • Received 13 September 1996
  • Published in the issue dated 18 August 1997

© 1997 The American Physical Society

Authors & Affiliations

A. Harju, B. Barbiellini, S. Siljamäki, and R. M. Nieminen

  • Laboratory of Physics, Helsinki University of Technology, FIN-02150 Espoo, Finland

G. Ortiz

  • Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801

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