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Constrained Monotone k-Submodular Function Maximization Using Multiobjective Evolutionary Algorithms With Theoretical Guarantee

delete2018-08-01
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PRE
AI
C
Chao Qian
J
Jing-Cheng Shi
汤
汤珂 (Ke Tang)
Zhi-Hua Zhou 封面图
Zhi-Hua Zhou (Zhi‐Hua Zhou) *
DOI:10.1109/TEVC.2017.2749263delete
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摘要

摘要

En 中文
The problem of maximizing monotone k-submodular functions under a size constraint arises in many applications, and it is NP-hard. In this paper, we propose a new approach which employs a multiobjective evolutionary algorithm to maximize the given objective and minimize the size simultaneously. For general cases, we prove that the proposed method can obtain the asymptotically tight approximation guarantee, which was also achieved by the greedy algorithm. Moreover, we further give instances where the proposed approach performs better than the greedy algorithm on applications of influence maximization, information coverage maximization, and sensor placement. Experimental results on real-world data sets exhibit the superior performance of the proposed approach.
Keyword:
Constrained optimization
experimental studies
multiobjective evolutionary algorithms (MOEAs)
submodular optimization
theoretical analysis
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期刊

IEEE Transactions on Evolutionary Computation 封面图
IEEE Transactions on Evolutionary Computation
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12
论文数:
1.9K
被引数:
2.4W

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U
university of science & technology of china, cas
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被引数: 74
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nanjing university
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论文数: 5.6W
被引数: 87
C
chinese academy of sciences
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56.7W
论文数: 45.0W
被引数: 704
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