arXiv:2606.18280stat.APcs.AI2026-06

基于重要性自适应划分地理空间,解决传统分区导致的结构失真问题。

IOAH3: Importance-Driven Adaptive Spatial Partitioning

  • 通过主成分分析融合道路、兴趣点、建筑密度等多源特征,量化区域重要性
  • 利用马尔可夫随机场图割优化,兼顾重要性与空间连续性,生成连通分区
  • 高重要性区域自动细化至更细粒度H3网格,避免孤立细粒度单元

我们提出IOAH3(重要性导向自适应H3划分),一种构建地理观测数据驱动空间分区的计算方法。传统空间聚合采用固定区域单元(如行政边界或单一分辨率的均匀六边形网格),忽略各区域观测信息内容,导致著名的可调区域单元问题:统计结果依赖于分区选择,空间聚集现象在粗粒度单元中被平均化,掩盖细尺度结构。IOAH3通过三阶段构建自适应分区:首先基于道路密度、兴趣点密度、建筑密度和地形粗糙度信号,通过主成分分析提取多源特征并评分,人口与洪水风险数据作为辅助输入用于单元过滤与空间平滑;其次通过马尔可夫随机场图割优化进行空间单元选择,联合最大化每单元重要性并保证空间连通性;最后对高重要性区域进行数据驱动的层级细化,提升至更细的H3分辨率层级,并通过邻居传播支持避免孤立细粒度单元。所得分区可作为空间推断流程的输入,为后续建模前提供合理的分区敏感性解决方案。

原文摘要 · Abstract (English)

We present IOAH3 (Importance-Oriented Adaptive H3 partitioning), a computational method for constructing data-driven spatial partitions of geo-referenced observation domains. Standard approaches to spatial aggregation adopt fixed areal units, such as administrative boundaries or uniform hexagonal grids at a single resolution, without regard to the informational content of the underlying observations in each region. This leads to the well-known modifiable areal unit problem: statistical and inferential results depend on the arbitrary choice of partition, and spatially concentrated phenomena are averaged out in coarse cells that obscure fine-scale structure. IOAH3 addresses this by constructing an adaptive partition in three stages: multi-source feature extraction and importance scoring via principal component analysis over road density, POI density, building density, and terrain roughness signals, with population and flood-hazard data entering as auxiliary inputs to cell filtering and spatial smoothness; spatial cell selection via Markov Random Field graph-cut optimisation, which jointly maximises per-cell importance while enforcing spatial contiguity; and data-driven hierarchical refinement of high-importance regions to finer H3 resolution levels, with neighbour-propagated support to avoid isolated fine-resolution islands. The resulting partitions serve as input to spatial inference pipelines and provide a principled resolution of the partition-sensitivity problem prior to any modelling step.

空间划分地理数据分析自适应网格H3网格

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