Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.334..103a&link_type=abstract
Astrophysics and Space Science, Volume 334, Issue 1, pp.103-114
Astronomy and Astrophysics
Astrophysics
Methods: Numerical, Stars: Orbital Elements
Scientific paper
This paper presents an `adaptive probability of crossover' technique, as a variation of the differential evolution algorithm (ACDE), for optimal parameter estimation in the general curve-fitting problem. The technique is applied to the determination of orbital elements of a spectroscopic binary system (eta Bootis). In the ACDE, Varying the crossover probability rate ( Cr) provides faster convergence than keeping it constant. The Cr is determined for each trial parameter vector (`individual') as a function of fit goodness. The adaptation automatically updates control parameter to an appropriate value, without requiring prior knowledge of the relationship between particular parameter settings and a given problem optimization characteristics. The presented analysis of eta Bootis derives best-fitting Keplerian and phasing curves. Error estimation of the optimal parameters is also included. Comparison of the results with previously published values suggests that the ACDE technique has a useful applicability to astrophysical data analysis.
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