Nothing Special   »   [go: up one dir, main page]

skip to main content
10.1145/1527125.1527132acmconferencesArticle/Chapter ViewAbstractPublication PagesfogaConference Proceedingsconference-collections
research-article

On the utility of the population size for inversely fitness proportional mutation rates

Published: 09 January 2009 Publication History

Abstract

Artificial Immune Systems (AIS) are an emerging new field of research in Computational Intelligence that are used in many areas of application, e. g. optimization, anomaly detection and classification. For optimization tasks usually hypermutation operators are used. In this paper, we show that the use of populations can be essential for the utility of such operators by analyzing the runtime of a simple population-based immune inspired algorithm on a classical example problem. The runtime bounds we prove are tight for the problem at hand. Moreover, we derive some general characteristics of the considered mutation operator as well as properties of the population, which hold for a class of pseudo-Boolean functions.

References

[1]
F. M. Burnet. The Clonal Selection Theory of Acquired Immunity. Cambridge University Press, 1959.
[2]
E. Clark, A. Hone, and J. Timmis. A Markov chain model of the b-cell algorithm. In International Conference on Artificial Immune Systems (ICARIS), pages 318--330. Springer, 2005.
[3]
N. C. Cortés and C. A. C. Coello. Multiobjective optimization using ideas from the clonal selection principle. In Genetic and Evolutionary Computation Conference (GECCO), pages 158--170. Springer, 2003.
[4]
V. Cutello, G. Nicosia, and M. Pavone. Exploring the capability of immune algorithms: A characterization of hypermutation operators. In International Conference on Artificial Immune Systems (ICARIS), pages 263--276. Springer, 2004.
[5]
V. Cutello, G. Nicosia, M. Romeo, and P. S. Oliveto. On the convergence of immune algorithms. In IEEE Symposium on Foundations of Computational Intelligence (FOCI), pages 409--415. IEEE Press, 2007.
[6]
D. Dasgupta. Artificial Immune Systems and Their Applications. Springer, 1998.
[7]
L. N. de Castro and J. Timmis. Artificial Immune Systems: A New Computational Intelligence Approach. Springer, 2002.
[8]
L. N. de Castro and F. J. V. Zuben. Learning and optimization using the clonal selection principle. IEEE Transactions on Evolutionary Computation, 6(3):239--251, 2002.
[9]
S. Droste, T. Jansen, and I. Wegener. On the analysis of the (1+1) evolutionary algorithm. Theoretical Computer Science, 276(1-2):51--81, 2002.
[10]
T. Hagerup and C. Rüb. A guided tour of Chernoff bounds. Information Processing Letters, 33(6):305--308, 1990.
[11]
T. Jansen and I. Wegener. On the utility of populations. In Genetic and Evolutionary Computation Conference (GECCO), pages 1034--1041. Morgan Kaufmann, 2001.
[12]
T. Jansen and I. Wegener. A comparison of simulated annealing with a simple evolutionary algorithm on pseudo-Boolean functions of unitation. Theoretical Computer Science, 386(1-2):73--93, 2007.
[13]
J. Kelsey and J. Timmis. Immune inspired somatic contiguous hypermutation for function optimisation. In Genetic and Evolutionary Computation Conference (GECCO), pages 207--218. Springer, 2003.
[14]
T. Storch. On the choice of the population size. In Genetic and Evolutionary Computation Conference (GECCO), pages 748--760. Springer, 2004.
[15]
J. Timmis, A. Hone, T. Stibor, and E. Clark. Theoretical advances in artificial immune systems. Theoretical Computer Science, 403(1):11--32, 2008.
[16]
M. Villalobos-Arias, C. A. C. Coello, and O. Hernández-Lerma. Convergence analysis of a multiobjective artificial immune system algorithm. In International Conference on Artificial Immune Systems (ICARIS), pages 226--235. Springer, 2004.
[17]
C. Witt. Runtime analysis of the (µ+1) EA on simple pseudo-Boolean functions. Evolutionary Computation, 14(1):65--86, 2006.
[18]
C. Witt. Population size versus runtime of a simple evolutionary algorithm. Theoretical Computer Science, 403(1):104--120, 2008.
[19]
C. Zarges. Rigorous runtime analysis of inversely fitness proportional mutation rates. In International Conference on Parallel Problem Solving from Nature (PPSN), pages 112--122. Springer, 2008.

Cited By

View all
  • (2024)Runtime Analysis of Population-based Evolutionary AlgorithmsProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3638530.3648428(903-927)Online publication date: 14-Jul-2024
  • (2023)Runtime Analysis of Population-based Evolutionary Algorithms - Part I: Steady State EAsProceedings of the Companion Conference on Genetic and Evolutionary Computation10.1145/3583133.3595056(1271-1300)Online publication date: 15-Jul-2023
  • (2022)Runtime analysis of population-based evolutionary algorithmsProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3520304.3533658(1398-1426)Online publication date: 9-Jul-2022
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Conferences
FOGA '09: Proceedings of the tenth ACM SIGEVO workshop on Foundations of genetic algorithms
January 2009
204 pages
ISBN:9781605584140
DOI:10.1145/1527125
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 09 January 2009

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. evolutionary algorithms
  2. immune algorithms
  3. mutation operators
  4. populations
  5. runtime analysis

Qualifiers

  • Research-article

Conference

FOGA '09
Sponsor:
FOGA '09: Foundations of Genetic Algorithms X
January 9 - 11, 2009
Florida, Orlando, USA

Acceptance Rates

FOGA '09 Paper Acceptance Rate 18 of 30 submissions, 60%;
Overall Acceptance Rate 72 of 131 submissions, 55%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 30 Sep 2024

Other Metrics

Citations

Cited By

View all
  • (2024)Runtime Analysis of Population-based Evolutionary AlgorithmsProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3638530.3648428(903-927)Online publication date: 14-Jul-2024
  • (2023)Runtime Analysis of Population-based Evolutionary Algorithms - Part I: Steady State EAsProceedings of the Companion Conference on Genetic and Evolutionary Computation10.1145/3583133.3595056(1271-1300)Online publication date: 15-Jul-2023
  • (2022)Runtime analysis of population-based evolutionary algorithmsProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3520304.3533658(1398-1426)Online publication date: 9-Jul-2022
  • (2021)Runtime analysis of population-based evolutionary algorithmsProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3449726.3461423(856-880)Online publication date: 7-Jul-2021
  • (2021)Identity Verification Using Age Progression & Machine Learning2021 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT)10.1109/CONECCT52877.2021.9622683(1-6)Online publication date: 9-Jul-2021
  • (2020)Runtime analysis of population-based evolutionary algorithmsProceedings of the 2020 Genetic and Evolutionary Computation Conference Companion10.1145/3377929.3389890(458-494)Online publication date: 8-Jul-2020
  • (2020)Parallel Black-Box Complexity With Tail BoundsIEEE Transactions on Evolutionary Computation10.1109/TEVC.2019.295423424:6(1010-1024)Online publication date: Dec-2020
  • (2020)A Hybrid Immunological Search for the Weighted Feedback Vertex Set ProblemLearning and Intelligent Optimization10.1007/978-3-030-38629-0_1(1-16)Online publication date: 22-Jan-2020
  • (2019)Runtime analysis of evolutionary algorithms: basic introductionProceedings of the Genetic and Evolutionary Computation Conference Companion10.1145/3319619.3323394(662-693)Online publication date: 13-Jul-2019
  • (2019)An Immune Metaheuristics for Large Instances of the Weighted Feedback Vertex Set Problem2019 IEEE Symposium Series on Computational Intelligence (SSCI)10.1109/SSCI44817.2019.9002988(1928-1936)Online publication date: Dec-2019
  • Show More Cited By

View Options

Get Access

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media