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The Cross-Entropy Method for Continuous Multi-Extremal Optimization
Authors:Dirk P Kroese  Sergey Porotsky  Reuven Y Rubinstein
Institution:(1) Department of Mathematics, The University of Queensland, Brisbane, 4072, Australia;(2) Optimata Ltd., 11 Tuval St., Ramat Gan, 52522, Israel;(3) Faculty of Industrial Engineering and Management, Technion, Haifa, Israel
Abstract:In recent years, the cross-entropy method has been successfully applied to a wide range of discrete optimization tasks. In this paper we consider the cross-entropy method in the context of continuous optimization. We demonstrate the effectiveness of the cross-entropy method for solving difficult continuous multi-extremal optimization problems, including those with non-linear constraints.
Keywords:Cross-entropy  Continuous optimization  Multi-extremal objective function  Dynamic smoothing  Constrained optimization  Nonlinear constraints  Acceptance–  rejection  Penalty function
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