Dynamic Hassan Nelder Mead with Simplex Free Selectivity for Unconstrained Optimization
نویسندگان
چکیده
منابع مشابه
Nelder, Mead, and the Other Simplex Method
In the mid-1960s, two English statisticians working at the National Vegetable Research Station invented the Nelder–Mead “simplex” direct search method. The method emerged at a propitious time, when there was great and growing interest in computer solution of complex nonlinear real-world optimization problems. Because obtaining first derivatives of the function f to be optimized was frequently i...
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Ni olas Durand Laboratoire d'Optimisation Globale Centre d'Etudes de la Navigation A erienne 7, av Edouard Belin 31055 Toulouse Cedex Fran e durand re her he.ena .fr tel: (33) 562 17 40 54 Jean-Mar Alliot Laboratoire d'Optimisation Globale Centre d'Etudes de la Navigation A erienne 7, av Edouard Belin 31055 Toulouse Cedex Fran e alliot re her he.ena .fr tel: (33) 562 17 41 24 Abstra t It is usu...
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One of the fundamental difficulties in engineering design is the multiplicity of local solutions. This has triggered great efforts to develop global search algorithms. Globality, however, often has a prohibitively high numerical cost for real problems. A fixed cost local search, which sequentially becomes global is developed. Globalization is achieved by probabilistic restart. A spacial probabi...
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In this paper, we first prove that the expansion and contraction steps of the Nelder-Mead simplex algorithm possess a descent property when the objective function is uniformly convex. This property provides some new insights on why the standard Nelder-Mead algorithm becomes inefficient in high dimensions. We then propose an implementation of the Nelder-Mead method in which the expansion, contra...
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ژورنال
عنوان ژورنال: IEEE Access
سال: 2018
ISSN: 2169-3536
DOI: 10.1109/access.2018.2855079