Journal of Global Optimization

, Volume 48, Issue 1, pp 41–55

A genetic algorithm for a global optimization problem arising in the detection of gravitational waves

  • Daniela di Serafino
  • Susana Gomez
  • Leopoldo Milano
  • Filippo Riccio
  • Gerardo Toraldo
Article

DOI: 10.1007/s10898-010-9525-9

Cite this article as:
di Serafino, D., Gomez, S., Milano, L. et al. J Glob Optim (2010) 48: 41. doi:10.1007/s10898-010-9525-9

Abstract

The detection of gravitational waves is a long-awaited event in modern physics and, to achieve this challenging goal, detectors with high sensitivity are being used or are under development. In order to extract gravitational signals emitted by coalescing binary systems of compact objects (neutron stars and/or black holes), from noisy data obtained by interferometric detectors, the matched filter technique is generally used. Its computational kernel is a box-constrained global optimization problem with many local solutions and a highly nonlinear and expensive objective function, whose derivatives are not available. To tackle this problem, we designed a real-coded genetic algorithm that exploits characteristic features of the problem itself; special attention was devoted to the choice of the initial population and of the recombination operator. Computational experiments showed that our algorithm is able to compute a reasonably accurate solution of the optimization problem, requiring a much smaller number of function evaluations than the grid search, which is generally used to solve this problem. Furthermore, the genetic algorithm largely outperforms other global optimization algorithms on significant instances of the problem.

Keywords

Global optimization Genetic algorithm Detection of gravitational waves 

Copyright information

© Springer Science+Business Media, LLC. 2010

Authors and Affiliations

  • Daniela di Serafino
    • 1
  • Susana Gomez
    • 2
  • Leopoldo Milano
    • 3
  • Filippo Riccio
    • 1
  • Gerardo Toraldo
    • 4
  1. 1.Department of MathematicsSecond University of NaplesCasertaItaly
  2. 2.Institute of Applied MathematicsNational University of MexicoMexico CityMexico
  3. 3.Department of Physical SciencesUniversity of Naples Federico IINaplesItaly
  4. 4.DIAATUniversity of Naples Federico IIPorticiItaly

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