简单热图+调优搜索,性能不输复杂学习模型。
Beyond the Heatmap: A Rigorous Evaluation of Component Impact in MCTS-Based TSP Solvers
- 用TSP实例的k近邻结构生成基础热图,结合调优MCTS搜索。
- 基础热图配最优MCTS可超越复杂学习热图,泛化性更强。
- 提出标准化调参流程,助力公平比较不同方法。
近年来,'热图+蒙特卡洛树搜索(MCTS)'已成为求解旅行商问题(TSP)的主流框架。尽管研究多集中于提升热图的复杂度,本文通过跨多种规模、分布和基准的实证分析,揭示两个关键发现:1)MCTS策略配置显著影响解的质量,需精细调优以获得最优结果,并支持不同热图方法间的有效比较;2)基于TSP实例内在k-最近邻结构的简易、无参数热图,在与最优调优的MCTS结合后,性能可达到甚至超过更复杂的有监督学习热图,且在问题规模和分布变化下表现出强鲁棒性。为促进未来研究的严谨与公平评估,本文提出一套简化的标准化MCTS超参数调优流程。这些成果挑战了‘热图越复杂越好’的普遍假设,主张对学习与搜索组件进行平衡整合与全面评估。代码已开源:https://github.com/LOGO-CUHKSZ/rethink_mcts_tsp。
原文摘要 · Abstract (English)
The ``Heatmap + Monte Carlo Tree Search (MCTS)'' paradigm has recently emerged as a prominent framework for solving the Travelling Salesman Problem (TSP). While considerable effort has been devoted to enhancing heatmap sophistication through advanced learning models, this paper rigorously examines whether this emphasis is justified, critically assessing the relative impact of heatmap complexity versus MCTS configuration. Our extensive empirical analysis across diverse TSP scales, distributions, and benchmarks reveals two pivotal insights: 1) The configuration of MCTS strategies significantly influences solution quality, underscoring the importance of meticulous tuning to achieve optimal results and enabling valid comparisons among different heatmap methodologies. 2) A rudimentary, parameter-free heatmap based on the intrinsic $k$-nearest neighbor structure of TSP instances, when coupled with an optimally tuned MCTS, can match or surpass the performance of more sophisticated, learned heatmaps, demonstrating robust generalizability on problem scale and distribution shift. To facilitate rigorous and fair evaluations in future research, we introduce a streamlined pipeline for standardized MCTS hyperparameter tuning. Collectively, these findings challenge the prevalent assumption that heatmap complexity is the primary determinant of performance, advocating instead for a balanced integration and comprehensive evaluation of both learning and search components within this paradigm. Our code is available at: https://github.com/LOGO-CUHKSZ/rethink_mcts_tsp.
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