arXiv:2509.21973eess.IVeess.SP2025-09被引 1

用三种相关性度量实现无需调参的高光谱波段选择,提升分类效果。

Multicollinearity-Aware Parameter-Free Strategy for Hyperspectral Band Selection: A Dependence Measures-Based Approach

  • 结合方差膨胀因子、平均相关性和互信息进行波段筛选
  • 在4个数据集上分类精度优于现有方法,且减少冗余波段
  • 完全无参数设计,适合不想调参的研究者使用

高光谱波段包含丰富的光谱与空间信息,但其高维特性给高效处理带来挑战。波段选择(BS)旨在提取更小的波段子集以降低光谱冗余。现有方法如基于排序、聚类和迭代的方法常存在对初始化敏感、需调参及计算成本高等问题。本文提出一种整合三种相关性度量的新策略:平均波段相关性(ABC)、互信息(MI)和方差膨胀因子(VIF)。ABC量化波段间的线性相关性,MI衡量相对于真实标签的信息不确定性减少量。为缓解多重共线性并缩小搜索空间,首先通过VIF进行预选波段,再利用聚类算法根据ABC与MI值确定最优波段子集。该方法完全无参数,无需优化参数。在WHU-Hi-LongKou、Pavia University、Salinas和Oil Spill四个标准数据集上评估,并与先进方法对比。结果表明,所选波段与其他方法高度重合,说明有效捕捉了关键光谱特征;支持向量机(SVM)分类验证了基于VIF的剪枝可有效降低多重共线性,提升分类性能。消融实验表明,结合ABC与MI能获得鲁棒且具有判别性的波段子集。

原文摘要 · Abstract (English)

Hyperspectral bands offer rich spectral and spatial information; however, their high dimensionality poses challenges for efficient processing. Band selection (BS) methods aim to extract a smaller subset of bands to reduce spectral redundancy. Existing approaches, such as ranking-based, clustering-based, and iterative methods, often suffer from issues like sensitivity to initialization, parameter tuning, and high computational cost. This work introduces a BS strategy integrating three dependence measures: Average Band Correlation (ABC) and Mutual Information (MI), and Variance Inflation Factor (VIF). ABC quantifies linear correlations between spectral bands, while MI measures uncertainty reduction relative to ground truth labels. To address multicollinearity and reduce the search space, the approach first applies a VIF-based pre-selection of spectral bands. Subsequently, a clustering algorithm is used to identify the optimal subset of bands based on the ABC and MI values. Unlike previous methods, this approach is completely parameter-free for hyperspectral band selection, eliminating the need for optimal parameter estimation. The proposed method is evaluated on four standard benchmark datasets: WHU-Hi-LongKou, Pavia University, Salinas, and Oil Spill datasets, and is compared to existing state-of-the-art approaches. There is significant overlap between the bands identified by our proposed method and those selected by other methods, indicating that our approach effectively captures the most relevant spectral features. Further, support vector machine (SVM) classification validates that VIF-driven pruning enhances classification by minimizing multicollinearity. Ablation studies confirm that combining ABC with MI yields robust, discriminative band subsets.

高光谱波段选择无参数降维

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