A modification of the DIRECT method for Lipschitz global optimization for a symmetric function. Grbić, R., Nyarko, E. K., & Scitovski, R. Journal of Global Optimization, 57(4):1193–1212, Dec, 2013.
Paper doi abstract bibtex In this paper, we consider a global optimization problem for a symmetric Lipschitz continuous function. An efficient modification of the well-known DIRECT (DIviding RECTangles) method called SymDIRECT is proposed for solving this problem. The method is illustrated and tested on several standard test functions. The application of this method to solving complex center-based clustering problems for the data having only one feature is particularly presented.
@Article{Grbic2013,
author = {Grbi{\'{c}}, Ratko and Nyarko, Emmanuel Karlo and Scitovski, Rudolf},
title = {A modification of the {DIRECT} method for Lipschitz global optimization for a symmetric function},
doi = {10.1007/s10898-012-0020-3},
issn = {1573-2916},
journal = {Journal of Global Optimization},
month = {Dec},
number = {4},
pages = {1193--1212},
url = {https://doi.org/10.1007/s10898-012-0020-3},
volume = {57},
year = {2013},
abstract = {In this paper, we consider a global optimization problem for a symmetric Lipschitz continuous function. An efficient modification of the well-known DIRECT (DIviding RECTangles) method called SymDIRECT is proposed for solving this problem. The method is illustrated and tested on several standard test functions. The application of this method to solving complex center-based clustering problems for the data having only one feature is particularly presented.}
}
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