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Computer Science > Neural and Evolutionary Computing
Title: The Runtime of Random Local Search on the Generalized Needle Problem
(Submitted on 13 Mar 2024 (v1), last revised 20 Mar 2024 (this version, v2))
Abstract: In their recent work, C. Doerr and Krejca (Transactions on Evolutionary Computation, 2023) proved upper bounds on the expected runtime of the randomized local search heuristic on generalized Needle functions. Based on these upper bounds, they deduce in a not fully rigorous manner a drastic influence of the needle radius $k$ on the runtime.
In this short article, we add the missing lower bound necessary to determine the influence of parameter $k$ on the runtime. To this aim, we derive an exact description of the expected runtime, which also significantly improves the upper bound given by C. Doerr and Krejca. We also describe asymptotic estimates of the expected runtime.
Submission history
From: Andrew Kelley [view email][v1] Wed, 13 Mar 2024 00:30:47 GMT (15kb)
[v2] Wed, 20 Mar 2024 00:18:40 GMT (15kb)
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