arXiv:2607.16728cs.LG2026-07

融合图结构与模糊理论,提升多源数据分类鲁棒性

Graph-Embedded Intuitionistic Fuzzy Broad Learning System: A Multi-view Framework

论文配图:Graph-Embedded Intuitionistic Fuzzy Broad Learning System: A Multi-view Framework
图 1 · 摘自论文原文
  • 将图嵌入与直觉模糊理论融入宽学习系统,捕捉数据几何结构
  • 在多个基准数据集上AUC显著提升,噪声下仍保持稳定性能
  • 适合处理含噪声、多源异构数据的分类任务

宽学习系统(BLS)广泛用于数据分类,但对所有数据点同等对待,难以应对含噪声和异常值的真实数据。同时,它忽视数据的几何结构,且不擅长处理多源数据。为此,提出多视图图嵌入直觉模糊宽学习系统(MVGIFBLS),将多视图学习、图嵌入与直觉模糊理论结合到BLS框架中。该设计可融合多源信息,学习更具区分性的表征。图嵌入通过局部Fisher判别分析构建内在与惩罚子空间,捕捉样本间的几何关系,提升类别分离度;直觉模糊理论增强对噪声的鲁棒性;基于核的邻域分析挖掘局部数据结构。在多个UCI、KEEL和AwA基准数据集上进行对比实验、高斯特征噪声分析、消融研究及统计检验,结果表明各模块均有效,所提方法在各项指标上持续取得更高AUC值,并在高斯噪声下保持稳健表现。

原文摘要 · Abstract (English)

The Broad Learning System (BLS) has been widely used for data classification and is based on a layer-by-layer feed-forward structure. However, it gives the same importance to all data points, which reduces its effectiveness on real-world datasets with noise and outliers. In addition, it does not consider the geometric structure of the data and has limitations in handling data from multiple sources. To address these challenges, we propose a Multi-View Graph-Embedded Intuitionistic Fuzzy Broad Learning System (MVGIFBLS) that integrates multi-view learning, graph embedding, and intuitionistic fuzzy theory into the BLS framework. This design enables the model to combine information from multiple sources and learn more discriminative representations. Graph embedding captures the geometric relationships among samples and improves class separation through intrinsic and penalty subspaces based on local Fisher discriminant analysis. Intuitionistic fuzzy theory enhances robustness to noise, while kernel-based neighborhood analysis captures local data structures. We evaluate the proposed framework on several UCI, KEEL, and AwA benchmark datasets using comparative evaluation, Gaussian feature noise analysis, ablation studies, and statistical analysis. The results demonstrate that each component contributes positively to the overall framework and that the proposed MVGIFBLS consistently achieves higher Area Under the Curve (AUC) scores and maintains robust performance under Gaussian feature noise.

宽学习图嵌入多视图学习模糊系统

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