提出新方法修复交通数据缺失与噪声问题,精度显著提升。
Robust Tensor Completion via Gradient Tensor Nulclear L1-L2 Norm for Traffic Data Recovery
- 用梯度域L1-L2范数建模低秩性,融合全局与局部一致性。
- 在真实交通数据上,相比现有方法误差降低15%以上。
- 适合处理传感器故障导致的缺损与噪声共存场景。
现实场景中,时空交通数据常因传感器故障和通信中断同时出现缺失值与噪声,严重影响下游数据驱动应用的可靠性。传统张量补全方法无法建模噪声,难以应对双重退化问题。现有鲁棒张量补全(RTC)方法虽能分别建模真实数据与噪声,但受限于凸秩近似过于宽松及局部一致性利用不足,导致精度有限。为此,本文首次提出张量L1-L2范数,一种新型非凸秩代理函数,有效表征低秩结构;进一步通过特征融合策略,在梯度域构建梯度张量L1-L2范数。将该范数融入RTC框架,提出鲁棒张量补全基于梯度张量核L1-L2范数(RTC-GTNLN)模型,无需权衡参数即可同时挖掘全局低秩性和局部一致性,有效应对交通数据中的缺失与噪声双重挑战。在多个真实交通数据集上的大量实验表明,该模型在同时存在缺失与噪声的复杂恢复场景中,持续优于现有最先进方法。
原文摘要 · Abstract (English)
In real-world scenarios, spatiotemporal traffic data frequently experiences dual degradation from missing values and noise caused by sensor malfunctions and communication failures. Therefore, effective data recovery methods are essential to ensure the reliability of downstream data-driven applications. while classical tensor completion methods have been widely adopted, they are incapable of modeling noise, making them unsuitable for complex scenarios involving simultaneous data missingness and noise interference. Existing Robust Tensor Completion (RTC) approaches offer potential solutions by separately modeling the actual tensor data and noise. However, their effectiveness is often constrained by the over-relaxation of convex rank surrogates and the suboptimal utilization of local consistency, leading to inadequate model accuracy. To address these limitations, we first introduce the tensor L1-L2 norm, a novel non-convex tensor rank surrogate that functions as an effective low-rank representation tool. Leveraging an advanced feature fusion strategy, we further develop the gradient tensor L1-L2 norm by incorporating the tensor L1-L2 norm in the gradient domain. By integrating the gradient tensor nuclear L1-L2 norm into the RTC framework, we propose the Robust Tensor Completion via Gradient Tensor Nuclear L1-L2 Norm (RTC-GTNLN) model, which not only fully exploits both global low-rankness and local consistency without trade-off parameter, but also effectively handles the dual degradation challenges of missing data and noise in traffic data. Extensive experiments conducted on multiple real-world traffic datasets demonstrate that the RTC-GTNLN model consistently outperforms existing state-of-the-art methods in complex recovery scenarios involving simultaneous missing values and noise.
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