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Energy landscape paving as a perfect optimization approach under detrended fluctuation analysis

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  • Hamacher, Kay

Abstract

Global optimization (GO) is one of the key numerical tools in computational physics. Among the GO algorithms the ones originating in statistical physics are particularly powerful. Recently an adaptive scheme was developed to increase the efficiency of one of these algorithms (stochastic tunneling). This scheme is based on the time-series of minima tested and the respective detrended fluctuation analysis (DFA). We here present a study on another GO methodology (energy landscape paving), which in itself is adaptive, and show that its performance is optimal under the DFA analysis. We give arguments to explain this fact.

Suggested Citation

  • Hamacher, Kay, 2007. "Energy landscape paving as a perfect optimization approach under detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 307-314.
    • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:307-314
    DOI: 10.1016/j.physa.2006.11.071
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    References listed on IDEAS

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    1. H. Arkín, 2004. "Searching low-energy conformations of two elastin sequences," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 37(2), pages 223-228, January.
    2. Amen, Matthias, 2006. "Cost-oriented assembly line balancing: Model formulations, solution difficulty, upper and lower bounds," European Journal of Operational Research, Elsevier, vol. 168(3), pages 747-770, February.
    3. Hamacher, Kay, 2005. "On stochastic global optimization of one-dimensional functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 547-557.
    4. S. Boettcher, 2005. "Extremal optimization for Sherrington-Kirkpatrick spin glasses," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 46(4), pages 501-505, August.
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    Cited by:

    1. Liu, Jingfa & Jiang, Yucong & Li, Gang & Xue, Yu & Liu, Zhaoxia & Zhang, Zhen, 2015. "Heuristic-based energy landscape paving for the circular packing problem with performance constraints of equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 166-174.

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