Objective function features providing barriers to rapid global optimization. (English) Zbl 1093.90093
Summary: The purposes of this discussion paper are twofold. First, features of an objective function landscape which provide barriers to rapid finding of the global optimum are described. Second, stochastic algorithms are discussed and their performance examined, both theoretically and computationally, as the features change. The paper lays a foundation for the later findings paper.
MSC:
90C59 | Approximation methods and heuristics in mathematical programming |
90C15 | Stochastic programming |
65K05 | Numerical mathematical programming methods |
Keywords:
Local minima; Local optimization; Search region; Simulated annealing; Stochastic global optimizationReferences:
[2] | Doye J.P.K. (in press), Physical perspectives on the global optimization of atomic clusters. In: Pinter, J. (ed.), Global Optimization – Selected Case Studies · Zbl 1129.90387 |
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