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The CMA Evolution Strategy: A Tutorial

About

This tutorial introduces the CMA Evolution Strategy (ES), where CMA stands for Covariance Matrix Adaptation. The CMA-ES is a stochastic, or randomized, method for real-parameter (continuous domain) optimization of non-linear, non-convex functions. We try to motivate and derive the algorithm from intuitive concepts and from requirements of non-linear, non-convex search in continuous domain.

Nikolaus Hansen• 2016

Related benchmarks

TaskDatasetResultRank
Circuit OptimizationFDDSD Gm circuit
Figure of Merit (FoM)7.23
25
Circuit OptimizationBandgap circuit
FoM6.28
25
Black-box OptimizationBBOB d=100
F41.68e+3
25
Circuit OptimizationThree-stage circuit
FoM6.76
25
Circuit OptimizationTwo-stage circuit
FoM6.33
25
Circuit OptimizationCharge Pump circuit
FoM18.05
25
Circuit OptimizationLDO circuit
FoM10.0217
25
NavigationMiniWorld FourRooms
Success Rate79.7
15
NavigationMiniWorld MazeS3
Success Rate23.8
14
Black-box OptimizationBBOB suite d = 30
F4 Objective Value32.5
11
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