arXiv:2606.27821quant-phcs.AI2026-06被引 3

用类量子快速权重机制,高效预测网络流量矩阵。

Parameter-Efficient Quantum-Inspired Fast Weight Programmers for Traffic-Matrix Forecasting

论文配图:Parameter-Efficient Quantum-Inspired Fast Weight Programmers for Traffic-Matrix Forecasting
图 1 · 摘自论文原文
  • 设计类量子循环模型,通过快速权重编程实现轻量预测。
  • 仅用大LSTM 22.4%参数,误差更低且通道胜率更高。
  • 适合资源受限的实时网络流量预测场景。

流量矩阵(TMs)反映全网源-目的流量需求,是交通工程核心,但在线控制中受内存、更新和训练预算限制,全矩阵精准预测仍具挑战。本文探究紧凑类量子循环模型能否在不依赖图结构、Transformer或扩散模块的前提下实现有效预测。将门控类量子柯尔莫哥洛夫-阿诺德网络快速权重程序员(QKAN-FWP)适配至多步阿比林尼(Abilene)TM预测任务,每个模型基于两小时历史数据,预测接下来20个5分钟帧的144通道源-目的(OD)矩阵。在共享固定预算训练协议下,对比三种QKAN变体与同规模LSTM、更大规模LSTM及经典门控快速权重程序员。结果表明,G-QKANFWP在聚合均方根误差(RMSE)上表现最佳,仅使用大LSTM 22.4%的参数,同时优于同规模LSTM与经典基线,证明增益非仅源于门控快速权重框架。收敛性与通道级分析显示,类量子变体学习曲线下的验证损失面积(AULC)更低,且G-QKANFWP与GQKAN-FWP在更多OD通道上取得更优表现。结果表明,经典慢程序员搭配类量子快速程序员是一种面向资源敏感的高精度高效预测设计。

原文摘要 · Abstract (English)

Traffic matrices (TMs) capture network-wide origin-destination demand and are central to traffic engineering, yet accurate whole-matrix forecasting remains challenging when prediction must be performed under the memory, update, and training-budget constraints of online network control. This paper investigates whether compact quantum-inspired recurrent models can provide effective TM forecasts without relying on dedicated graph, transformer, or diffusion modules. We adapt gated quantum-inspired Kolmogorov-Arnold network fast-weight programmers (QKAN-FWPs) to direct multi-step Abilene TM forecasting, where each model predicts the next 20 five-minute frames of a 144-channel origin-destination (OD) matrix from a two-hour history. We benchmark three QKAN placement variants against a matched-size long short-term memory (LSTM) network, a larger LSTM, and a classical gated fast-weight programmer under a shared fixed-budget training protocol. Among the evaluated recurrent models, G-QKANFWP achieves the best pooled root-mean-square error (RMSE), while using only 22.4% of the larger LSTM. It also outperforms both the matched-size LSTM and the classical G-FWP baseline, indicating that the gain is not due to gated fast-weight framework alone. Convergence and channel-wise analyses further show that the quantum-inspired variants obtain lower validation-loss area under the learning curve (AULC) than matched-size recurrent baselines, while G-QKANFWP and GQKAN-FWP achieve substantially more OD-channel wins. These results identify a classical slow programmer with a quantum-inspired fast programmer as a promising accuracy-efficiency design for resource-conscious network traffic-matrix forecasting.

流量预测轻量模型量子启发时序建模

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