Collaboration! Towards robust neural methods for routing problems

Despite enjoying desirable efficiency and reduced reliance on domain expertise, existing neural methods for vehicle routing problems (VRPs) suffer from severe robustness issues – their performance significantly deteriorates on clean instances with crafted perturbations. To enhance robustness, we pro...

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Main Authors: ZHOU, Jianan, WU, Yaoxin, CAO, Zhiguang, SONG, Wen, ZHANG, Jie, SHEN, Zhiqi
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語言:English
出版: Institutional Knowledge at Singapore Management University 2024
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在線閱讀:https://ink.library.smu.edu.sg/sis_research/9813
https://ink.library.smu.edu.sg/context/sis_research/article/10813/viewcontent/2410.04968v1.pdf
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機構: Singapore Management University
語言: English
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總結:Despite enjoying desirable efficiency and reduced reliance on domain expertise, existing neural methods for vehicle routing problems (VRPs) suffer from severe robustness issues – their performance significantly deteriorates on clean instances with crafted perturbations. To enhance robustness, we propose an ensemble-based Collaborative Neural Framework (CNF) w.r.t. the defense of neural VRP methods, which is crucial yet underexplored in the literature. Given a neural VRP method, we adversarially train multiple models in a collaborative manner to synergistically promote robustness against attacks, while boosting standard generalization on clean instances. A neural router is designed to adeptly distribute training instances among models, enhancing overall load balancing and collaborative efficacy. Extensive experiments verify the effectiveness and versatility of CNF in defending against various attacks across different neural VRP methods. Notably, our approach also achieves impressive out-of-distribution generalization on benchmark instances.