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arXiv · 2405.01226

Avoiding Redundant Restarts in Multimodal Global Optimization

Jacob de Nobel·Diederick Vermetten·Anna V. Kononova·Ofer M. Shir·Thomas Bäck
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Abstract

Na\"ive restarts of global optimization solvers when operating on multimodal search landscapes may resemble the Coupon's Collector Problem, with a potential to waste significant function evaluations budget on revisiting the same basins of attractions. In this paper, we assess the degree to which such ``duplicate restarts'' occur on standard multimodal benchmark functions, which defines the \textit{redundancy potential} of each particular landscape. We then propose a repelling mechanism to avoid such wasted restarts with the CMA-ES and investigate its efficacy on test cases with high redundancy potential compared to the standard restart mechanism.

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Jacob de Nobel, Diederick Vermetten, Anna V. Kononova, Ofer M. Shir, Thomas Bäck. 2024-05-02. Avoiding Redundant Restarts in Multimodal Global Optimization. https://arxiv.org/abs/2405.01226

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