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• W2166116468 abstract "<para xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> Global optimization process can often be divided into two subprocesses: exploration and exploitation. The tradeoff between exploration and exploitation (<emphasis emphasistype=boldital>T:Er&Ei</emphasis>) is crucial in search and optimization, having a great effect on global optimization performance, e.g., accuracy and convergence speed of optimization algorithms. In this paper, definitions of exploration and exploitation are first given based on information correlation among samplings. Then, some general indicators of optimization hardness are presented to characterize problem difficulties. By analyzing a typical contraction-based three-stage optimization process, <emphasis emphasistype=boldital>Optimal Contraction Theorem</emphasis> is presented to show that <emphasis emphasistype=boldital>T:Er&Ei</emphasis> depends on the optimization hardness of problems to be optimized. <emphasis emphasistype=boldital>T:Er&Ei</emphasis> will gradually lean toward exploration as optimization hardness increases. In the case of great optimization hardness, exploration-dominated optimizers outperform exploitation-dominated optimizers. In particular, random sampling will become an outstanding optimizer when optimization hardness reaches a certain degree. Besides, the optimal number of contraction stages increases with optimization hardness. In an optimal contraction way, the whole sampling cost is evenly distributed in all contraction stages, and each contraction takes the same contracting ratio. Furthermore, the characterization of optimization hardness is discussed in detail. The experiments with several typical global optimization algorithms used to optimize three groups of test problems validate the correctness of the conclusions made by <emphasis emphasistype=boldital>T:Er&Ei</emphasis> analysis. </para>" @default.
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• W2166116468 date "2009-05-01" @default.
• W2166116468 modified "2023-10-07" @default.
• W2166116468 title "Optimal Contraction Theorem for Exploration–Exploitation Tradeoff in Search and Optimization" @default.
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• W2166116468 doi "https://doi.org/10.1109/tsmca.2009.2012436" @default.
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