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首页> 外文期刊>Evolutionary computation >Analysis of the (μ/μI,λ)-CSA-ES with Repair by Projection Applied to a Conically Constrained Problem
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Analysis of the (μ/μI,λ)-CSA-ES with Repair by Projection Applied to a Conically Constrained Problem

机译：通过投影修复对（μ/μI，λ）-csa-es的分析应用于锥形约束的问题

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摘要

Theoretical analyses of evolution strategies are indispensable for gaining a deep understanding of their inner workings. For constrained problems, rather simple problems are of interest in the current research. This work presents a theoretical analysis of a multi-recombinative evolution strategy with cumulative step size adaptation applied to a conically constrained linear optimization problem. The state of the strategy is modeled by random variables and a stochastic iterative mapping is introduced. For the analytical treatment, fluctuations are neglected and the mean value iterative system is considered. Nonlinear difference equations are derived based on one-generation progress rates. Based on that, expressions for the steady state of the mean value iterative system are derived. By comparison with real algorithm runs, it is shown that for the considered assumptions, the theoretical derivations are able to predict the dynamics and the steady state values of the real runs.
机译：进化策略的理论分析是对其内部工作的深刻理解是必不可少的。对于受限制的问题，在目前的研究中，相当简单的问题是兴趣的。该工作提出了一种具有应用于锥形约束线性优化问题的累积步长调整的多重重组演化策略的理论分析。策略的状态是由随机变量建模的，并且介绍了随机迭代映射。对于分析处理，忽略了波动，并且考虑了平均值迭代系统。基于一个代替进度速率导出非线性差分方程。基于此，推导出用于平均值迭代系统的稳定状态的表达式。通过与实际算法的运行进行比较，显示用于考虑的假设，理论上的衍生能够预测实际运行的动态和稳态值。

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