arXiv:2504.12450cs.LGecon.EM2025-04被引 4

用空间特征向量提升机器学习效果?实验表明坐标已足够,但特定场景仍需向量。

Can Moran Eigenvectors Improve Machine Learning of Spatial Data? Insights from Synthetic Data Validation

  • 将莫兰特征向量作为额外特征输入多种机器学习模型
  • 仅用坐标特征的模型在多数情况下比加向量的更准确
  • 正向空间自相关场景下特征向量价值有限,负相关或网络自相关仍适用

莫兰特征向量空间滤波(ESF)在统计模型中被证明可有效处理空间效应。本文探究其在机器学习中的有效性。通过生成具有已知空间异质性和非线性关系的合成数据集,基于不同空间权重矩阵计算莫兰特征向量,并采用有无先验选择的策略进行测试。评估了随机森林、LightGBM、XGBoost 和 TabNet 等主流机器学习模型的性能,以交叉验证的 R² 值为指标,对比仅使用坐标特征的模型。同时利用 GeoShapley 提取模型系数与函数,与真实过程比较。结果显示,在多个实验和数据集上,仅使用位置坐标的模型精度高于基于特征向量的方法。此外讨论指出,这些发现适用于呈现正向空间自相关的空间过程,但在建模网络自相关或负向空间自相关时,莫兰特征向量依然具备价值。

原文摘要 · Abstract (English)

Moran Eigenvector Spatial Filtering (ESF) approaches have shown promise in accounting for spatial effects in statistical models. Can this extend to machine learning? This paper examines the effectiveness of using Moran Eigenvectors as additional spatial features in machine learning models. We generate synthetic datasets with known processes involving spatially varying and nonlinear effects across two different geometries. Moran Eigenvectors calculated from different spatial weights matrices, with and without a priori eigenvector selection, are tested. We assess the performance of popular machine learning models, including Random Forests, LightGBM, XGBoost, and TabNet, and benchmark their accuracies in terms of cross-validated R2 values against models that use only coordinates as features. We also extract coefficients and functions from the models using GeoShapley and compare them with the true processes. Results show that machine learning models using only location coordinates achieve better accuracies than eigenvector-based approaches across various experiments and datasets. Furthermore, we discuss that while these findings are relevant for spatial processes that exhibit positive spatial autocorrelation, they do not necessarily apply when modeling network autocorrelation and cases with negative spatial autocorrelation, where Moran Eigenvectors would still be useful.

空间机器学习莫兰特征空间自相关

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