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Tracing the Interactions of Modular CMA-ES Configurations Across Problem Landscapes

3 July 2025
Ana Nikolikj
Mario Andrés Muñoz
Eva Tuba
Tome Eftimov
ArXiv (abs)PDFHTML
Main:7 Pages
8 Figures
Bibliography:2 Pages
1 Tables
Abstract

This paper leverages the recently introduced concept of algorithm footprints to investigate the interplay between algorithm configurations and problem characteristics. Performance footprints are calculated for six modular variants of the CMA-ES algorithm (modCMA), evaluated on 24 benchmark problems from the BBOB suite, across two-dimensional settings: 5-dimensional and 30-dimensional. These footprints provide insights into why different configurations of the same algorithm exhibit varying performance and identify the problem features influencing these outcomes. Our analysis uncovers shared behavioral patterns across configurations due to common interactions with problem properties, as well as distinct behaviors on the same problem driven by differing problem features. The results demonstrate the effectiveness of algorithm footprints in enhancing interpretability and guiding configuration choices.

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@article{nikolikj2025_2507.02331,
  title={ Tracing the Interactions of Modular CMA-ES Configurations Across Problem Landscapes },
  author={ Ana Nikolikj and Mario Andrés Muñoz and Eva Tuba and Tome Eftimov },
  journal={arXiv preprint arXiv:2507.02331},
  year={ 2025 }
}
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