arXiv:2609.08121cs.CVmath.OC2026-09

通过自动分组的低秩张量分解,高效检测高光谱图像中的异常区域。

Hyperspectral Anomaly Detection via Group Sparse Low-Rank Tensor Factorization With Automatic Anomaly Grouping

论文配图:Hyperspectral Anomaly Detection via Group Sparse Low-Rank Tensor Factorization With Automatic Anomaly Grouping
图 1 · 摘自论文原文
  • 用分组稀疏约束张量因子,替代直接低秩正则化,降低计算成本。
  • 引入隐式分组图,自动识别空间结构异常,无需预先设定像素级标签。
  • 融合光谱与空间信息,适合处理具有复杂空间模式的高光谱异常检测任务。

低秩张量建模已成为高光谱异常检测的有效工具。然而,现有方法仍存在计算成本高、难以刻画空间结构异常的问题。为此,本文提出一种基于分组稀疏低秩张量分解与自动异常分组的高光谱异常检测方法(GSAA)。具体而言,通过在张量因子上施加分组稀疏性来表征低管秩背景,提供了一种高效的替代方案,避免了直接的张量秩正则化。针对异常建模,引入潜在分组图以构建自动异常分组惩罚项,使异常簇能从数据中自适应推断,而非在像素层面预定义。为进一步利用光谱与空间信息的互补性,将GSAA应用于两个域,并融合生成的检测图,得到谱-空间版本的GSAA-SS。设计了一种具有收敛性保证的线性化交替方向乘子法求解模型。在五个真实高光谱数据集上的实验表明,所提方法在检测性能上优于多个先进方法,且具备良好的计算效率。

原文摘要 · Abstract (English)

Low-rank tensor modeling has become an effective tool for hyperspectral anomaly detection. However, existing methods still suffer from high computational cost and limited flexibility in characterizing spatially structured anomalies. To address these issues, this paper proposes a hyperspectral anomaly detection method based on group sparse low-rank tensor factorization with automatic anomaly grouping (GSAA). Specifically, the low tubal rank background is characterized by imposing group sparsity on tensor factors, which provides an efficient alternative to direct tensor rank regularization. For anomaly modeling, a latent grouping map is introduced to build an automatic anomaly grouping penalty, allowing anomaly groups to be adaptively inferred from the data rather than predefined at the pixel level. To further exploit complementary spectral and spatial information, GSAA is applied in both domains, and the resulting detection maps are fused to form a spectral--spatial version of GSAA, termed GSAA-SS. An efficient linearized alternating direction method of multipliers algorithm with convergence guarantee is developed to solve the resulting model. Experimental results on five real hyperspectral datasets demonstrate that the proposed method achieves superior detection performance and competitive computational efficiency compared with several state-of-the-art methods.

高光谱异常检测张量分解自动分组

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