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

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© 1997 American Physical Society (APS). This is the accepted version of the following article: Harju, A. & Barbiellini, B. & Siljamäki, S. & Nieminen, Risto M. & Ortiz, G. 1997. Stochastic Gradient Approximation: An Efficient Method to Optimize Many-Body Wave Functions. Physical Review Letters. Volume 79, Issue 7. 1173-1177. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.79.1173, which has been published in final form at http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.79.1173.
Final published version

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Journal Title

Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

1997

Major/Subject

Mcode

Degree programme

Language

en

Pages

1173-1177

Series

Physical Review Letters, Volume 79, Issue 7

Abstract

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.

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Keywords

many-body wave functions, stochastic functions, noise

Other note

Citation

Harju, A. & Barbiellini, B. & Siljamäki, S. & Nieminen, Risto M. & Ortiz, G. 1997. Stochastic Gradient Approximation: An Efficient Method to Optimize Many-Body Wave Functions. Physical Review Letters. Volume 79, Issue 7. 1173-1177. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.79.1173.