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Enhancing the Convergence Ability of Evolutionary Multi-objective Optimization Algorithms with Momentum

Published: 14 July 2024 Publication History

Abstract

To improve the convergence ability of evolutionary multi-objective optimization algorithms (EMOAs), various strategies have been proposed. One effective strategy is to use good momentum from the previous generations to create new solutions. However, the definition of good momentum has not been carefully studied. In this paper, we propose five different definitions of good momentum for EMOAs. Then, we explain their integration into popular EMOAs such as NSGA-II, MOEA/D, and SMS-EMOA. Through computational experiments, we demonstrate that the use of an appropriate definition of good momentum greatly accelerates the convergence of EMOAs on both artificial test problems and real-world problems, particularly on large-scale problems.

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References

[1]
Nicola Beume, Boris Naujoks, and Michael Emmerich. 2007. SMS-EMOA: Multiobjective selection based on dominated hypervolume. European Journal of Operational Research 181, 3 (Sept. 2007), 1653--1669.
[2]
Drishti Bhasin, Sajag Swami, Sarthak Sharma, Saumya Sah, Dhish Kumar Saxena, and Kalyanmoy Deb. 2023. Investigating innovized progress operators with different machine Learning Methods. In Evolutionary Multi-Criterion Optimization (Lecture Notes in Computer Science), Michael Emmerich, André Deutz, Hao Wang, Anna V. Kononova, Boris Naujoks, Ke Li, Kaisa Miettinen, and Iryna Yevseyeva (Eds.). Springer Nature Switzerland, Cham, 134--146.
[3]
Longcan Chen, Lie Meng Pang, and Hisao Ishibuchi. 2022. New solution creation operator in MOEA/D for faster convergence. In Parallel Problem Solving from Nature - PPSN XVII (Lecture Notes in Computer Science), Günter Rudolph, Anna V. Kononova, Hernán Aguirre, Pascal Kerschke, Gabriela Ochoa, and Tea Tušar (Eds.). Springer International Publishing, Cham, 234--246.
[4]
Ran Cheng, Yaochu Jin, Markus Olhofer, and Bernhard Sendhoff. 2017. Test problems for large-scale multiobjective and many-objective optimization. IEEE Transactions on Cybernetics 47, 12 (Dec. 2017), 4108--4121.
[5]
Ran Cheng, Miqing Li, Ye Tian, Xingyi Zhang, Shengxiang Yang, Yaochu Jin, and Xin Yao. 2017. A benchmark test suite for evolutionary many-objective optimization. Complex & Intelligent Systems 3, 1 (March 2017), 67--81.
[6]
Indraneel Das and John Emory Dennis. 1998. Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. SIAM Journal on Optimization 8, 3 (1998), 631--657.
[7]
Kalyanmoy Deb. 2001. Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, New York, NY, USA.
[8]
Kalyanmoy Deb and Ram Bhusan Agrawal. 1995. Simulated binary crossover for continuous search space. Complex Systems 9, 2 (1995), 115--148.
[9]
Kalyanmoy Deb and Mayank Goyal. 1996. A combined genetic adaptive search (GeneAS) for engineering design. Computer Science and Informatics 26 (1996), 30--45.
[10]
Kalyanmoy Deb and Himanshu Jain. 2013. An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: solving problems with box constraints. IEEE Transactions on Evolutionary Computation 18, 4 (2013), 577--601.
[11]
Kalyanmoy Deb, Amrit Pratap, Sameer Agarwal, and Thirunavukkarasu Meyarivan. 2002. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6, 2 (April 2002), 182--197.
[12]
Simon Huband, Phil Hingston, Luigi Barone, and Lyndon While. 2006. A review of multiobjective test problems and a scalable test problem toolkit. IEEE Transactions on Evolutionary Computation 10, 5 (Oct. 2006), 477--506.
[13]
Hisao Ishibuchi, Hiroyuki Masuda, Yuki Tanigaki, and Yusuke Nojima. 2015. Modified Distance Calculation in Generational Distance and Inverted Generational Distance. In Evolutionary Multi-Criterion Optimization, António Gaspar-Cunha, Carlos Henggeler Antunes, and Carlos Coello Coello (Eds.). Springer International Publishing, Cham, 110--125.
[14]
Sukrit Mittal, Dhish Kumar Saxena, Kalyanmoy Deb, and Erik D. Goodman. 2021. A learning-based innovized progress operator for faster convergence in evolutionary multi-objective optimization. ACM Transactions on Evolutionary Learning and Optimization 2, 1 (Nov. 2021), 1:1--1:29.
[15]
Sukrit Mittal, Dhish Kumar Saxena, Kalyanmoy Deb, and Erik D. Goodman. 2022. Enhanced innovized progress operator for evolutionary multi- and many-objective optimization. IEEE Transactions on Evolutionary Computation 26, 5 (Oct. 2022), 961--975.
[16]
Sukrit Mittal, Dhish Kumar Saxena, Kalyanmoy Deb, and Erik D. Goodman. 2023. A unified innovized progress operator for performance enhancement in evolutionary multi- and many-objective optimization. IEEE Transactions on Evolutionary Computation (2023), 1--1.
[17]
Ye Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin. 2017. PlatEMO: A MATLAB platform for evolutionary multi-objective optimization [Educational Forum]. IEEE Computational Intelligence Magazine 12, 4 (2017), 73--87.
[18]
Gregorio Toscano, Hoda Razavi, A. Pouyan Nejadhashemi, Kalyanmoy Deb, and Lewis Linker. 2023. Utilizing innovization to solve large-scale multi-objective chesapeake bay watershed problem. In 2023 IEEE Congress on Evolutionary Computation (CEC). IEEE, Chicago, IL, USA, 1--8.
[19]
Qingfu Zhang and Hui Li. 2007. MOEA/D: A multiobjective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation 11, 6 (Dec. 2007), 712--731.
[20]
Aimin Zhou, Boyang Qu, Hui Li, Shizheng Zhao, Ponnuthurai Nagaratnam Suganthan, and Qingfu Zhang. 2011. Multiobjective evolutionary algorithms: A survey of the state of the art. Swarm and Evolutionary Computation 1, 1 (2011), 32--49.
[21]
Eckart Zitzler, Kalyanmoy Deb, and Lothar Thiele. 2000. Comparison of Multiobjective Evolutionary Algorithms: Empirical Results. Evolutionary Computation 8, 2 (2000), 173--195.

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    cover image ACM Conferences
    GECCO '24: Proceedings of the Genetic and Evolutionary Computation Conference
    July 2024
    1657 pages
    ISBN:9798400704949
    DOI:10.1145/3638529
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    Published: 14 July 2024

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    Author Tags

    1. evolutionary multi-objective optimization
    2. large-scale multi-objective optimization
    3. solution generation strategy

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    • National Natural Science Foundation of China

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    GECCO '24
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    GECCO '24: Genetic and Evolutionary Computation Conference
    July 14 - 18, 2024
    VIC, Melbourne, Australia

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