arXiv:2605.05008stat.MLcs.LG2026-05

从时空数据中自动发现连续区域和典型变化模式。

Scalable inference of spatial regions and temporal signatures from time series

论文配图:Scalable inference of spatial regions and temporal signatures from time series
图 1 · 摘自论文原文
  • 基于信息论最小描述长度原理,联合推断空间分区与代表性时间序列
  • 运行时间随时间序列数呈对数线性增长,可处理大规模数据
  • 适用于空气质量、植被指数等真实数据,结果可解释性强

区域化旨在将空间域划分为具有相似特征的连续区域,以支持更有效的空间分析、政策制定和资源管理。现有空间区域化方法通常依赖静态空间快照而非动态时间序列;而大多数时间序列聚类方法忽略空间结构,或通过人为正则化强制空间连续性,且预先限制了可推断区域的数量。本文利用信息论中的最小描述长度原则,提出一种高效且完全非参数化的时空区域化框架。该方法联合推断空间划分与一组代表性时间序列原型(“驱动因子”),以最优压缩时空数据集,运行时间对时间序列数量呈对数线性关系。我们证明该方法可在合成数据中准确恢复预设的区域结构与驱动因子,并能从大规模实测空气质量和植被指数记录中提取有意义的结构性规律。本方法提供了一种原理清晰、可扩展的空间连续划分框架,使可解释的时序模式与同质区域直接从数据中涌现。

原文摘要 · Abstract (English)

Regionalization aims to partition a spatial domain into contiguous regions that share similar characteristics, enabling more effective spatial analysis, policy making, and resource management. Existing approaches for spatial regionalization typically rely on static spatial snapshots rather than evolving time series. Meanwhile, most time series clustering methods ignore spatial structure or enforce spatial continuity through ad hoc regularization, constraining the number of inferred regions a priori either explicitly or implicitly. Utilizing the minimum description length principle from information theory, here we propose an efficient and fully nonparametric framework for the regionalization of spatial time series. Our method jointly infers a spatial partition along with a set of representative time series archetypes ("drivers") that best compress a spatiotemporal dataset, with a runtime log-linear in the number of time series. We demonstrate that this method can accurately recover planted regional structure and drivers in synthetic time series, and can extract meaningful structural regularities in large-scale empirical air quality and vegetation index records. Our method provides a principled and scalable framework for spatially contiguous partitioning, allowing interpretable temporal patterns and homogeneous regions to emerge directly from the data itself.

时空建模区域化非参数数据压缩

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