RCMAES: A Robust CMA-ES Variant for CEC2026 Competition
About
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
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Numerical Optimization | CEC D=10 2022 | Friedman Rank4.029 | 30 | |
| Numerical Optimization | CEC D=20 2022 | Friedman Rank3.17 | 15 | |
| Single Objective Bound Constrained Numerical Optimization | CEC 5D 2020 | Accuracy1.9 | 7 | |
| Single Objective Bound Constrained Numerical Optimization | CEC 10D 2020 | Accuracy2.3 | 7 | |
| Single Objective Bound Constrained Numerical Optimization | CEC 15D 2020 | Accuracy (E)0.024 | 7 | |
| Single Objective Bound Constrained Numerical Optimization | CEC 20D 2020 | Accuracy2.4 | 7 | |
| Single-objective bound-constrained optimization | CEC D=10 2017 | Accuracy (E)3.5 | 7 | |
| Single-objective bound-constrained optimization | CEC D=30 2017 | Accuracy (E)0.071 | 7 | |
| Single-objective bound-constrained optimization | CEC D=50 2017 | Accuracy12.9 | 7 | |
| Single-objective bound-constrained optimization | CEC D=100 2017 | Accuracy (E)19 | 7 |
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