arXiv:2608.17284cs.LGcs.AI2026-08

提出新模型解决不规则时间序列预测中的偏差与适应性问题。

Rethinking Irregular Time Series Forecasting from the Perspective of Basis Functions

论文配图:Rethinking Irregular Time Series Forecasting from the Perspective of Basis Functions
图 1 · 摘自论文原文
  • 用神经网络参数化基函数,自适应捕捉多变时序模式。
  • 引入重要性采样修正采样密度导致的渐近偏差。
  • 适合医疗、气象等稀疏不规则数据场景的预测任务。

不规则时间序列预测在医疗、气象等领域至关重要。由于观测稀疏和采样非均匀,准确预测未来动态仍具挑战。现有方法通常将不规则观测通过预定义基函数聚合为固定维度的响应系数作为序列表示,但存在两大局限:(i) 忽略时间戳采样密度导致的非消失渐近偏差;(ii) 预定义基函数对多样化时序模式适应性差。本文提出去偏神经基函数网络(DNBNet),核心是去偏神经基函数响应机制,通过重要性采样消除渐近偏差,同时以神经网络参数化基函数以适配多样时序模式。针对数据稀疏性,设计基于平均池化的多尺度分解模块与质量感知融合机制,获得更丰富表示。最终采用双分支解码器进行预测。在多个真实世界数据集上的实验表明,DNBNet有效且在不同不规则时间序列场景中具有强泛化能力。代码见 https://github.com/hnu-vis/DNBNet。

原文摘要 · Abstract (English)

Irregular time series forecasting is crucial in many domains, such as healthcare and meteorological observation. However, due to the inherent characteristics of irregular time series, including sparse observations and non-uniform sampling, accurately predicting future dynamics remains challenging. In light of these two characteristics, many existing methods aggregate irregular observations into fixed-dimensional estimated response coefficients through predefined basis functions and use these coefficients as sequence representations. Nevertheless, this modeling paradigm still suffers from two key limitations: (i) a potential non-vanishing asymptotic bias caused by ignoring the sampling density of timestamps; and (ii) the limited adaptability of predefined basis functions to diverse temporal patterns. In this study, we propose a Debiased Neural Basis-Function Network (DNBNet) to address these challenges. Its core is a debiased neural basis-function response mechanism, which corrects asymptotic bias through importance sampling while parameterizing basis functions with neural networks to adapt to diverse temporal patterns. In addition, considering the sparsity of irregular data, we design a novel multi-scale decomposition module based on average pooling, together with a mass-aware fusion mechanism, to obtain richer representations. Finally, a dual-branch decoder is employed for forecasting. Extensive experiments on multiple real-world datasets demonstrate the effectiveness of DNBNet and its strong generalizability across diverse irregular time series scenarios. Our code can be obtained at https://github.com/hnu-vis/DNBNet.

时间序列不规则数据神经网络

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