Learning to Branch in Combinatorial Optimization With Graph Pointer Networks
文献类型：期刊论文
| 作者 | Rui Wang; Zhiming Zhou ; Kaiwen Li; Tao Zhang; Ling Wang; Xin Xu; Xiangke Liao
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| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2024 |
| 卷号 | 11期号:1页码:157-169 |
| ISSN号 | 2329-9266 |
| 关键词 | Branch-and-bound (B&B) combinatorial optimization deep learning graph neural network imitation learning |
| DOI | 10.1109/JAS.2023.124113 |
| 英文摘要 | Traditional expert-designed branching rules in branch-and-bound (B&B) are static, often failing to adapt to diverse and evolving problem instances. Crafting these rules is labor-intensive, and may not scale well with complex problems. Given the frequent need to solve varied combinatorial optimization problems, leveraging statistical learning to auto-tune B&B algorithms for specific problem classes becomes attractive. This paper proposes a graph pointer network model to learn the branch rules. Graph features, global features and historical features are designated to represent the solver state. The graph neural network processes graph features, while the pointer mechanism assimilates the global and historical features to finally determine the variable on which to branch. The model is trained to imitate the expert strong branching rule by a tailored top-k Kullback-Leibler divergence loss function. Experiments on a series of benchmark problems demonstrate that the proposed approach significantly outperforms the widely used expert-designed branching rules. It also outperforms state-of-the-art machine-learning-based branch-and-bound methods in terms of solving speed and search tree size on all the test instances. In addition, the model can generalize to unseen instances and scale to larger instances. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/54500]  |
| 专题 | 自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica |
| 推荐引用方式 GB/T 7714 | Rui Wang,Zhiming Zhou,Kaiwen Li,et al. Learning to Branch in Combinatorial Optimization With Graph Pointer Networks[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(1):157-169. |
| APA | Rui Wang.,Zhiming Zhou.,Kaiwen Li.,Tao Zhang.,Ling Wang.,...&Xiangke Liao.(2024).Learning to Branch in Combinatorial Optimization With Graph Pointer Networks.IEEE/CAA Journal of Automatica Sinica,11(1),157-169. |
| MLA | Rui Wang,et al."Learning to Branch in Combinatorial Optimization With Graph Pointer Networks".IEEE/CAA Journal of Automatica Sinica 11.1(2024):157-169. |
入库方式： OAI收割
来源：自动化研究所
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