Abstract
It has been already documented the fact that estimation of distribution algorithms suffer from loss of population diversity and improper treatment of isolated solutions. This situation is particularly severe in the case of multi-objective optimization, as the loss of solution diversity limits the capacity of an algorithm to explore the Pareto-optimal front at full extent.
A set of approaches has been proposed to deal with this problem but —to the best of our knowledge— there has not been a comprehensive comparative study on the outcome of those solutions and at what degree they actually solve the issue.
This paper puts forward such study by comparing how current approaches handle diversity loss when confronted to different multi-objective problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Coello Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A.: Evolutionary Algorithms for Solving Multi-Objective Problems. In: Genetic and Evolutionary Computation, 2 edn. Springer, New York (2007)
Corne, D.W.: Single objective = past, multiobjective = present, ??? = future. In: Michalewicz, Z. (ed.) 2008 IEEE Conference on Evolutionary Computation (CEC), part of 2008 IEEE World Congress on Computational Intelligence (WCCI 2008). IEEE Press, Piscataway (2008)
Lozano, J.A., Larrañaga, P., Inza, I., Bengoetxea, E., eds.: Towards a New Evolutionary Computation: Advances on Estimation of Distribution Algorithms. Springer (2006)
Martí, L.: Scalable Multi-Objective Optimization. PhD thesis, Departmento de Informática, Universidad Carlos III de Madrid, Colmenarejo, Spain (2011)
Martí, L., García, J., Berlanga, A., Coello Coello, C.A., Molina, J.M.: MB-GNG: Addressing drawbacks in multi-objective optimization estimation of distribution algorithms. Operations Research Letters 39(2), 150–154 (2011)
Martí, L., García, J., Berlanga, A., Molina, J.M.: Introducing MONEDA: Scalable multiobjective optimization with a neural estimation of distribution algorithm. In: GECCO 2008: 10th Annual Conference on Genetic and Evolutionary Computation, pp. 689–696. ACM Press, New York (2008)
Martí, L., García, J., Berlanga, A., Molina, J.M.: Multi-objective optimization with an adaptive resonance theory-based estimation of distribution algorithm. Annals of Mathematics and Artificial Intelligence 68(4), 247–273 (2013)
Branke, J., Miettinen, K., Deb, K., Słowiński, R., eds.: Multiobjective Optimization. LNCS. vol. 5252 Springer, Heidelberg (2008)
Pelikan, M., Sastry, K., Goldberg, D.E.: Multiobjective estimation of distribution algorithms. In: Pelikan, M., Sastry, K., Cantú-Paz, E. (eds.) Scalable Optimization via Probabilistic Modeling: From Algorithms to Applications. SCI, pp. 223–248. Springer (2006)
Ahn, C.W.: Advances in Evolutionary Algorithms. Design and Practice. Springer (2006). ISBN: 3-540-31758-9
Ahn, C.W., Ramakrishna, R.S., Goldberg, D.E.: Real-Coded Bayesian Optimization Algorithm: Bringing the Strength of BOA into the Continuous World. In: Deb, K., Tari, Z. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 840–851. Springer, Heidelberg (2004)
Bosman, P.A.N., Thierens, D.: The Naive MIDEA: A Baseline Multi–objective EA. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 428–442. Springer, Heidelberg (2005)
Bosman, P.A., Thierens, D.: Adaptive variance scaling in continuous multi-objective estimation-of-distribution algorithms. In: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation, GECCO 2007, p. 500. ACM Press, New York (2007)
Bosman, P.A.N.: The anticipated mean shift and cluster registration in mixture-based EDAs for multi-objective optimization. Proceedings of the 12th Annual Conference on Genetic and Evolutionary Computation, GECCO 2010, p. 351. ACM Press, New York (2010)
Hawkins, D.: Identification of Outliers. Chapman and Hall (1980)
Hodge, V.: A survey of outlier detection methodologies. Artificial Intelligence Review, 1–43 (2004)
Papadimitriou, S., Kitagawa, H., Gibbons, P., Faloutsos, C.: LOCI: Fast outlier detection using the local correlation integral. In: Proceedings 19th International Conference on Data Engineering (ICDE 2003), pp. 315–326. IEEE Press (2003)
Bader, J.: Hypervolume-Based Search for Multiobjective Optimization: Theory and Methods. PhD thesis, ETH Zurich, Switzerland (2010)
Zhang, Q., Zhou, A., Zhao, S., Suganthan, P., Liu, W., Tiwari, S.: Multiobjective optimization test instances for the CEC 2009 special session and competition. Technical report, University of Essex, Colchester, UK and Nanyang Technological University, Singapore (2009)
Knowles, J., Thiele, L., Zitzler, E.: A tutorial on the performance assessment of stochastic multiobjective optimizers. TIK Report 214, Computer Engineering and Networks Laboratory (TIK), ETH Zurich (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Martí, L., Sanchez-Pi, N., Vellasco, M. (2014). Understanding the Treatment of Outliers in Multi-Objective Estimation of Distribution Algorithms. In: Bazzan, A., Pichara, K. (eds) Advances in Artificial Intelligence -- IBERAMIA 2014. IBERAMIA 2014. Lecture Notes in Computer Science(), vol 8864. Springer, Cham. https://doi.org/10.1007/978-3-319-12027-0_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-12027-0_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12026-3
Online ISBN: 978-3-319-12027-0
eBook Packages: Computer ScienceComputer Science (R0)