arXiv:2509.06640cs.LGcs.NI2025-09被引 1

用少量数据训练神经网络,实现跨图的高效近最短路径路由。

Knowledge-Guided Machine Learning for Stabilizing Near-Shortest Path Routing

  • 基于网络领域知识设计输入特征与策略函数,提升学习泛化能力。
  • 仅用距离目标点信息即可学到等同于经典贪婪转发的最优策略。
  • 新提出的贪心张力路由在多数情况下优于传统方法,且推理延迟极低。

我们提出一种简单算法,仅需单个图的少量数据样本,即可学习出可在欧几里得度量空间中多种几何随机图上泛化的局部路由策略。通过训练深度神经网络(DNN),每个节点仅依据自身状态及邻接节点状态,实现高效可扩展的包转发。算法设计利用网络领域知识选择输入特征并构造策略函数,确保学习到近似最优策略。领域知识还提供了理论保障:一个“种子图”及其节点采样足以支持泛化学习。令人惊讶的是,一个仅以到目的地的距离为输入特征的DNN,学到了完全匹配经典贪婪转发策略的路由行为——即向距离目的地最近的邻居转发。我们还学习了一种新策略,称为贪心张力路由(GreedyTensile),其输入包含距离目标点和节点伸展度,几乎在所有情况下均优于贪婪转发。通过符号化解析其DNN结构,我们揭示了该策略由两个低复杂度线性动作构成,具备高度可解释性与超低延迟运行特性。

原文摘要 · Abstract (English)

We propose a simple algorithm that needs only a few data samples from a single graph for learning local routing policies that generalize across a rich class of geometric random graphs in Euclidean metric spaces. We thus solve the all-pairs near-shortest path problem by training deep neural networks (DNNs) that let each graph node efficiently and scalably route (i.e., forward) packets by considering only the node's state and the state of the neighboring nodes. Our algorithm design exploits network domain knowledge in the selection of input features and design of the policy function for learning an approximately optimal policy. Domain knowledge also provides theoretical assurance that the choice of a ``seed graph'' and its node data sampling suffices for generalizable learning. Remarkably, one of these DNNs we train -- using distance-to-destination as the only input feature -- learns a policy that exactly matches the well-known Greedy Forwarding policy, which forwards packets to the neighbor with the shortest distance to the destination. We also learn a new policy, which we call GreedyTensile routing -- using both distance-to-destination and node stretch as the input features -- that almost always outperforms greedy forwarding. We demonstrate the explainability and ultra-low latency run-time operation of Greedy Tensile routing by symbolically interpreting its DNN in low-complexity terms of two linear actions.

路由优化神经网络可解释性低延迟

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