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performance evaluation of orbit algorithm to some effective parameters
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نویسنده
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yaghoobi farajollah ,ahmadvand mohammad ,esmaeilbeigi mohsen ,kamandi ahmad
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منبع
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journal of mathematical extension - 2020 - دوره : 14 - شماره : 2 - صفحه:91 -112
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چکیده
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Orbit is a derivative-free trust-region framework that employs a radial basis function (rbf) interpolation to solve the computationally expensive optimization problems. the accuracy and stability of rbf interpolation depend on a so-called shape parameter, the type of rbf and the number of data points. so it is more appropriate to determine these parameters properly. in this paper, we evaluate the performance of the orbit algorithm by different types of rbf, different numbers of data points and different shape parameter values. we utilize dolan-more performance profile and more-wild data profile to investigate the performance of algorithms. finally, based on this numerical study we proposed some recommendations for the type of rbf, the number of data points and the shape parameter value.
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کلیدواژه
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radial basis function ,derivative-free optimization ,trust-region framework ,shape parameter ,data points
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آدرس
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islamic azad university, hamedan branch, college of basic sciences, department of mathematics, iran, islamic azad university, hamedan branch, college of basic sciences, department of mathematics, iran, malayer university, department of mathematical sciences, iran, university of science and technology of mazandaran, department of mathematics, iran
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پست الکترونیکی
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ahmadkamandi@mazust.ac.ir
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Authors
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