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The Cross-Entropy Method and Its Application to Inverse Problems

机译:交叉熵方法及其在反问题中的应用

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摘要

This paper explores the potential of a new evolutionary method—the cross-entropy (CE) method in solving continuous inverse problems. The CE method is a new entrant to the family of metaheuristics, and there are few applications of this method in computational electromagnetics. In the implementation of the cross-entropy method, an adaptive updating formula for the smoothing parameter is proposed to guarantee a satisfactory balance between exploring and exploiting searches. A mutation phase is integrated to prevent the algorithm from being trapped in a local optimal solution, and a different stop criterion is used. The proposed algorithm is evaluated on both low- and high-frequency inverse problems with promising and encouraging results.
机译:本文探讨了一种新的进化方法-交叉熵(CE)方法在解决连续逆问题中的潜力。 CE方法是元启发式方法家族的一个新进入者,该方法在计算电磁学中的应用很少。在交叉熵方法的实现中,提出了一种平滑参数的自适应更新公式,以确保在探索和利用搜索之间取得令人满意的平衡。集成了一个突变阶段,以防止算法陷入局部最优解中,并使用了不同的停止标准。所提出的算法在低频和高频反问题上得到了评估,并获得了令人鼓舞的结果。

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