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RCMAES: A Robust CMA-ES Variant for CEC2026 Competition

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This paper proposes RCMAES, a novel variant of the Covariance Matrix Adaptation Evolution Strategy (CMA-ES) for CEC benchmark optimization. RCMAES integrates a dimension-dependent nonlinear population-size reduction strategy with an adaptive restart mechanism within a pure CMA-ES framework. RCMAES is evaluated on three benchmark suites (CEC2017, CEC2020, and CEC2022) and compared with state-of-the-art DE algorithms as well as its closely related counterpart, BIPOP-aCMAES. Experimental results show that RCMAES achieves competitive and robust performance across all benchmarks.

Khoirul Faiq Muzakka, S\"oren M\"oller, Martin Finsterbusch• 2026

Related benchmarks

TaskDatasetResultRank
Numerical OptimizationCEC D=10 2022
Friedman Rank4.029
30
Numerical OptimizationCEC D=20 2022
Friedman Rank3.17
15
Single Objective Bound Constrained Numerical OptimizationCEC 5D 2020
Accuracy1.9
7
Single Objective Bound Constrained Numerical OptimizationCEC 10D 2020
Accuracy2.3
7
Single Objective Bound Constrained Numerical OptimizationCEC 15D 2020
Accuracy (E)0.024
7
Single Objective Bound Constrained Numerical OptimizationCEC 20D 2020
Accuracy2.4
7
Single-objective bound-constrained optimizationCEC D=10 2017
Accuracy (E)3.5
7
Single-objective bound-constrained optimizationCEC D=30 2017
Accuracy (E)0.071
7
Single-objective bound-constrained optimizationCEC D=50 2017
Accuracy12.9
7
Single-objective bound-constrained optimizationCEC D=100 2017
Accuracy (E)19
7
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