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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence

Subset Selection by Pareto Optimization with Recombination

February 1, 2023

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Authors

Chao Qian

Nanjing University


Chao Bian

Nanjing University


Chao Feng

University of Science and Technology of China


DOI:

10.1609/aaai.v34i03.5621


Abstract:

Subset selection, i.e., to select a limited number of items optimizing some given objective function, is a fundamental problem with various applications such as unsupervised feature selection and sparse regression. By employing a multi-objective evolutionary algorithm (EA) with mutation only to optimize the given objective function and minimize the number of selected items simultaneously, the recently proposed POSS algorithm achieves state-of-the-art performance for subset selection. In this paper, we propose the PORSS algorithm by incorporating recombination, a characterizing feature of EAs, into POSS. We prove that PORSS can achieve the optimal polynomial-time approximation guarantee as POSS when the objective function is monotone, and can find an optimal solution efficiently in some cases whereas POSS cannot. Extensive experiments on unsupervised feature selection and sparse regression show the superiority of PORSS over POSS. Our analysis also theoretically discloses that recombination from diverse solutions can be more likely than mutation alone to generate various variations, thereby leading to better exploration; this may be of independent interest for understanding the influence of recombination.

Topics: AAAI

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HOW TO CITE:

Chao Qian||Chao Bian||Chao Feng Subset Selection by Pareto Optimization with Recombination Proceedings of the AAAI Conference on Artificial Intelligence (2020) 2408-2415.

Chao Qian||Chao Bian||Chao Feng Subset Selection by Pareto Optimization with Recombination AAAI 2020, 2408-2415.

Chao Qian||Chao Bian||Chao Feng (2020). Subset Selection by Pareto Optimization with Recombination. Proceedings of the AAAI Conference on Artificial Intelligence, 2408-2415.

Chao Qian||Chao Bian||Chao Feng. Subset Selection by Pareto Optimization with Recombination. Proceedings of the AAAI Conference on Artificial Intelligence 2020 p.2408-2415.

Chao Qian||Chao Bian||Chao Feng. 2020. Subset Selection by Pareto Optimization with Recombination. "Proceedings of the AAAI Conference on Artificial Intelligence". 2408-2415.

Chao Qian||Chao Bian||Chao Feng. (2020) "Subset Selection by Pareto Optimization with Recombination", Proceedings of the AAAI Conference on Artificial Intelligence, p.2408-2415

Chao Qian||Chao Bian||Chao Feng, "Subset Selection by Pareto Optimization with Recombination", AAAI, p.2408-2415, 2020.

Chao Qian||Chao Bian||Chao Feng. "Subset Selection by Pareto Optimization with Recombination". Proceedings of the AAAI Conference on Artificial Intelligence, 2020, p.2408-2415.

Chao Qian||Chao Bian||Chao Feng. "Subset Selection by Pareto Optimization with Recombination". Proceedings of the AAAI Conference on Artificial Intelligence, (2020): 2408-2415.

Chao Qian||Chao Bian||Chao Feng. Subset Selection by Pareto Optimization with Recombination. AAAI[Internet]. 2020[cited 2023]; 2408-2415.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
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