Variable Interaction in Multi-objective Optimization Problems

Ke Li; Mohammad Nabi Omidvar; Kalyanmoy Deb; Xin Yao

doi:10.1007/978-3-319-45823-6_37

Variable Interaction in Multi-objective Optimization Problems

Ke Li
, Mohammad Nabi Omidvar
, Kalyanmoy Deb
, Xin Yao

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

8 Citations (Scopus)

Abstract

Variable interaction is an important aspect of a problem, which reflects its structure, and has implications on the design of efficient optimization algorithms. Although variable interaction has been widely studied in the global optimization community, it has rarely been explored in the multi-objective optimization literature. In this paper, we empirically and analytically study the variable interaction structures of some popular multi-objective benchmark problems. Our study uncovers nontrivial variable interaction structures for the ZDT and DTLZ benchmark problems which were thought to be either separable or non-separable.

Original language	English
Title of host publication	Parallel Problem Solving from Nature – PPSN XIV
Subtitle of host publication	14th International Conference, Edinburgh, UK, September 17-21, 2016, Proceedings
Editors	Julia Handl, Emma Hart, Peter R. Lewis, Manuel López-Ibáñez, Gabriela Ochoa, Ben Paechter
Publisher	Springer
Pages	399-409
Volume	9921
ISBN (Electronic)	978-3319458236
ISBN (Print)	978-3319458229
DOIs	https://doi.org/10.1007/978-3-319-45823-6_37
Publication status	E-pub ahead of print - 31 Aug 2016
Event	14th International Conference on Parallel Problem Solving from Nature (PPSN) - Edinburgh, United Kingdom Duration: 17 Sept 2016 → 21 Sept 2016

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	9921
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	14th International Conference on Parallel Problem Solving from Nature (PPSN)
Country/Territory	United Kingdom
City	Edinburgh
Period	17/09/16 → 21/09/16

Access to Document

10.1007/978-3-319-45823-6_37Licence: None: All rights reserved

Cite this

Li, K., Omidvar, M. N., Deb, K., & Yao, X. (2016). Variable Interaction in Multi-objective Optimization Problems. In J. Handl, E. Hart, P. R. Lewis, M. López-Ibáñez, G. Ochoa, & B. Paechter (Eds.), Parallel Problem Solving from Nature – PPSN XIV : 14th International Conference, Edinburgh, UK, September 17-21, 2016, Proceedings (Vol. 9921, pp. 399-409). Article 37 (Lecture Notes in Computer Science; Vol. 9921). Springer. Advance online publication. https://doi.org/10.1007/978-3-319-45823-6_37

Li, Ke ; Omidvar, Mohammad Nabi ; Deb, Kalyanmoy et al. / Variable Interaction in Multi-objective Optimization Problems. Parallel Problem Solving from Nature – PPSN XIV : 14th International Conference, Edinburgh, UK, September 17-21, 2016, Proceedings. editor / Julia Handl ; Emma Hart ; Peter R. Lewis ; Manuel López-Ibáñez ; Gabriela Ochoa ; Ben Paechter. Vol. 9921 Springer, 2016. pp. 399-409 (Lecture Notes in Computer Science).

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title = "Variable Interaction in Multi-objective Optimization Problems",

abstract = "Variable interaction is an important aspect of a problem, which reflects its structure, and has implications on the design of efficient optimization algorithms. Although variable interaction has been widely studied in the global optimization community, it has rarely been explored in the multi-objective optimization literature. In this paper, we empirically and analytically study the variable interaction structures of some popular multi-objective benchmark problems. Our study uncovers nontrivial variable interaction structures for the ZDT and DTLZ benchmark problems which were thought to be either separable or non-separable.",

author = "Ke Li and Omidvar, \{Mohammad Nabi\} and Kalyanmoy Deb and Xin Yao",

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booktitle = "Parallel Problem Solving from Nature – PPSN XIV",

note = "14th International Conference on Parallel Problem Solving from Nature (PPSN) ; Conference date: 17-09-2016 Through 21-09-2016",

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Li, K, Omidvar, MN, Deb, K & Yao, X 2016, Variable Interaction in Multi-objective Optimization Problems. in J Handl, E Hart, PR Lewis, M López-Ibáñez, G Ochoa & B Paechter (eds), Parallel Problem Solving from Nature – PPSN XIV : 14th International Conference, Edinburgh, UK, September 17-21, 2016, Proceedings. vol. 9921, 37, Lecture Notes in Computer Science, vol. 9921, Springer, pp. 399-409, 14th International Conference on Parallel Problem Solving from Nature (PPSN), Edinburgh, United Kingdom, 17/09/16. https://doi.org/10.1007/978-3-319-45823-6_37

Variable Interaction in Multi-objective Optimization Problems. / Li, Ke; Omidvar, Mohammad Nabi; Deb, Kalyanmoy et al.
Parallel Problem Solving from Nature – PPSN XIV : 14th International Conference, Edinburgh, UK, September 17-21, 2016, Proceedings. ed. / Julia Handl; Emma Hart; Peter R. Lewis; Manuel López-Ibáñez; Gabriela Ochoa; Ben Paechter. Vol. 9921 Springer, 2016. p. 399-409 37 (Lecture Notes in Computer Science; Vol. 9921).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - Variable interaction is an important aspect of a problem, which reflects its structure, and has implications on the design of efficient optimization algorithms. Although variable interaction has been widely studied in the global optimization community, it has rarely been explored in the multi-objective optimization literature. In this paper, we empirically and analytically study the variable interaction structures of some popular multi-objective benchmark problems. Our study uncovers nontrivial variable interaction structures for the ZDT and DTLZ benchmark problems which were thought to be either separable or non-separable.

AB - Variable interaction is an important aspect of a problem, which reflects its structure, and has implications on the design of efficient optimization algorithms. Although variable interaction has been widely studied in the global optimization community, it has rarely been explored in the multi-objective optimization literature. In this paper, we empirically and analytically study the variable interaction structures of some popular multi-objective benchmark problems. Our study uncovers nontrivial variable interaction structures for the ZDT and DTLZ benchmark problems which were thought to be either separable or non-separable.

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Li K, Omidvar MN, Deb K, Yao X. Variable Interaction in Multi-objective Optimization Problems. In Handl J, Hart E, Lewis PR, López-Ibáñez M, Ochoa G, Paechter B, editors, Parallel Problem Solving from Nature – PPSN XIV : 14th International Conference, Edinburgh, UK, September 17-21, 2016, Proceedings. Vol. 9921. Springer. 2016. p. 399-409. 37. (Lecture Notes in Computer Science). Epub 2016 Aug 31. doi: 10.1007/978-3-319-45823-6_37

Variable Interaction in Multi-objective Optimization Problems

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