Papers › Travel the Same Path: A Novel TSP Solving Strategy

Travel the Same Path: A Novel TSP Solving Strategy

12 Oct 2022arXiv:2210.05906archive 2025-07-28

Pingbang Hu

In this paper, we provide a novel strategy for solving Traveling Salesman Problem, which is a famous combinatorial optimization problem studied intensely in the TCS community. In particular, we consider the imitation learning framework, which helps a deterministic algorithm making good choices whenever it needs to, resulting in a speed up while maintaining the exactness of the solution without suffering from the unpredictability and a potential large deviation. Furthermore, we demonstrate a strong generalization ability of a graph neural network trained under the imitation learning framework. Specifically, the model is capable of solving a large instance of TSP faster than the baseline while has only seen small TSP instances when training.

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Tasks

Combinatorial OptimizationGraph Neural NetworkImitation LearningTraveling Salesman Problem

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GCNGraph Neural Network

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