Sudholt, D. orcid.org/0000-0001-6020-1646, Perez Heredia, J., Paixao, T. et al. (2 more authors) (2016) When Non-Elitism Outperforms Elitism for Crossing Fitness Valleys. In: Proceedings of the Genetic and Evolutionary Computation Conference 2016. Genetic and Evolutionary Computation Conference (GECCO 2016), 20-24 Jul 2016, Denver, Colorado, USA. ACM , pp. 1163-1170. ISBN 978-1-4503-4206-3
Abstract
Crossing fitness valleys is one of the major obstacles to function optimization. In this paper we investigate how the structure of the fitness valley, namely its depth d and length l, influence the runtime of different strategies for crossing these valleys. We present a runtime comparison between the ea and two non-elitist nature-inspired algorithms, Strong Selection Weak Mutation (SSWM) and the Metropolis algorithm. While the (1+1) EA has to jump across the valley to a point of higher fitness because it does not accept decreasing moves, the non-elitist algorithms may cross the valley by accepting worsening moves.
We show that while the runtime of the (1+1) EA algorithm depends critically on the length of the valley, the runtimes of the non-elitist algorithms depend crucially only on the depth of the valley. In particular, the expected runtime of both SSWM and Metropolis is polynomial in l and exponential in d while the (1+1) EA is efficient only for valleys of small length. Moreover, we show that both SSWM and Metropolis can also efficiently optimize a rugged function consisting of consecutive valleys.
Metadata
Authors/Creators: |
|
||||||
---|---|---|---|---|---|---|---|
Copyright, Publisher and Additional Information: | (c) 2016 Copyright held by the owner/author(s). This work is licensed under a Creative Commons Attribution International 4.0 License (https://creativecommons.org/licenses/by/4.0/) | ||||||
Dates: |
|
||||||
Institution: | The University of Sheffield | ||||||
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Computer Science (Sheffield) | ||||||
Funding Information: |
|
||||||
Depositing User: | Symplectic Sheffield | ||||||
Date Deposited: | 18 Aug 2016 10:43 | ||||||
Last Modified: | 19 Dec 2022 13:33 | ||||||
Published Version: | http://dx.doi.org/10.1145/2908812.2908909 | ||||||
Status: | Published | ||||||
Publisher: | ACM | ||||||
Refereed: | Yes | ||||||
Identification Number: | https://doi.org/10.1145/2908812.2908909 |