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Augmented Lagrangian Constraint Handling for CMA-ES - Case of a Single Linear Constraint

机译:用于CMA-ES的增强拉格朗日约束 - 单线性约束的情况

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摘要

We consider the problem of minimizing a function f subject to a single inequality constraint g(x) ≤ 0, in a black-box scenario. We present a covariance matrix adaptation evolution strategy using an adaptive augmented Lagrangian method to handle the constraint. We show that our algorithm is an instance of a general framework that allows to build an adaptive constraint handling algorithm from a general randomized adaptive algorithm for unconstrained optimization. We assess the performance of our algorithm on a set of linearly constrained functions, including convex quadratic and ill-conditioned functions, and observe linear convergence to the optimum.
机译:在黑盒方案中,我们考虑最小化函数f,以单个不等式约束g(x)≤0的问题。我们使用自适应增强拉格朗日方法来处理一个协方差矩阵适应演化策略来处理约束。我们表明我们的算法是一般框架的实例,其允许从一般的随机自适应算法构建自适应约束处理算法,以进行无约束优化。我们评估我们算法在一组线性约束函数上的性能,包括凸二次和不良功能,并观察到最佳的线性会聚。

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