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

机译:CMA-ES的增强拉格朗日约束处理-单个线性约束的情况

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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:我们考虑了在黑盒情形下使函数f最小化的问题,该函数应服从单个不等式约束g(x)≤0。我们提出了使用自适应增强拉格朗日方法来处理约束的协方差矩阵适应进化策略。我们证明了我们的算法是通用框架的一个实例,该框架允许从通用随机自适应算法构建无约束优化的自适应约束处理算法。我们评估了一组线性约束函数(包括凸二次函数和病态函数)的算法性能,并观察了线性收敛至最佳状态。

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