A Tight O (4 k /p c ) Runtime Bound for a (μ+1)GA on Jump k for Realistic Crossover Probabilities

Author:

Opris Andre1ORCID,Lengler Johannes2ORCID,Sudholt Dirk1ORCID

Affiliation:

1. University of Passau, Passau, Germany

2. ETH Zurich, Zurich, Switzerland

Publisher

ACM

Reference15 articles.

1. An Extended Jump Functions Benchmark for the Analysis of Randomized Search Heuristics

2. Escaping Local Optima Using Crossover With Emergent Diversity

3. Duc-Cuong Dang, Tobias Friedrich, Timo Kötzing, Martin S. Krejca, Per Kristian Lehre, Pietro S. Oliveto, Dirk Sudholt, and Andrew M. Sutton. 2016. Emergence of Diversity and Its Benefits for Crossover in Genetic Algorithms. In Proceedings of the 14th International Conference Parallel Problem Solving From Nature (PPSN) (2016). Springer.

4. Lower Bounds for Non-Elitist Evolutionary Algorithms via Negative Multiplicative Drift

5. Benjamin Doerr, Aymen Echarghaoui, Mohammed Jamal, and Martin S Krejca. 2024. Runtime Analysis of the (μ + 1) GA: Provable Speed-Ups from Strong Drift towards Diverse Populations. In 38th Annual AAAI Conference on Artificial Intelligence.

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