arXiv:2506.15079cs.LGstat.ML2025-06被引 1

用神经网络提升交通数据缺失填补的准确性和可解释性。

Neural Canonical Polyadic Factorization for Traffic Analysis

  • 将张量分解嵌入神经网络,通过可学习投影实现多维交通数据编码。
  • 在六个城市数据集上优于六种前沿方法,填补缺失数据精度显著提升。
  • 适合交通数字孪生与智能管控系统,兼具可解释性与非线性建模能力。

现代智能交通系统依赖精确的时空交通分析以优化城市出行与基础设施韧性。然而,传感器故障和异构感知缺口导致的数据缺失严重阻碍了可靠建模。本文提出神经典型秩分解(NCPF)模型,融合低秩张量代数与深度表征学习,实现鲁棒的交通数据补全。该模型创新性地将CP分解嵌入神经架构,通过可学习的嵌入投影将稀疏交通张量编码为道路段、时间区间与出行指标的密集潜在因子。分层特征融合机制采用哈达玛积显式建模多线性交互,堆叠的多层感知机非线性优化这些表示,以捕捉复杂的时空耦合关系。在六个城市交通数据集上的广泛评估表明,NCPF优于六种前沿基线方法。通过统一CP分解的可解释因子分析与神经网络的非线性表达能力,NCPF为高维交通数据补全提供了原理性强且灵活的方法,为下一代交通数字孪生与自适应交通控制系统提供关键支持。

原文摘要 · Abstract (English)

Modern intelligent transportation systems rely on accurate spatiotemporal traffic analysis to optimize urban mobility and infrastructure resilience. However, pervasive missing data caused by sensor failures and heterogeneous sensing gaps fundamentally hinders reliable traffic modeling. This paper proposes a Neural Canonical Polyadic Factorization (NCPF) model that synergizes low-rank tensor algebra with deep representation learning for robust traffic data imputation. The model innovatively embeds CP decomposition into neural architecture through learnable embedding projections, where sparse traffic tensors are encoded into dense latent factors across road segments, time intervals, and mobility metrics. A hierarchical feature fusion mechanism employs Hadamard products to explicitly model multilinear interactions, while stacked multilayer perceptron layers nonlinearly refine these representations to capture complex spatiotemporal couplings. Extensive evaluations on six urban traffic datasets demonstrate NCPF's superiority over six state-of-the-art baselines. By unifying CP decomposition's interpretable factor analysis with neural network's nonlinear expressive power, NCPF provides a principled yet flexible approaches for high-dimensional traffic data imputation, offering critical support for next-generation transportation digital twins and adaptive traffic control systems.

交通分析张量分解数据补全神经网络

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