通过自适应图学习与核对齐,提升多视图无监督特征选择效果
Kernel Alignment-based Multi-view Unsupervised Feature Selection with Sample-level Adaptive Graph Learning
- 利用核对齐与正交约束捕捉线性非线性特征冗余
- 样本级自适应融合多视图相似图,提升局部结构建模精度
- 适用于高维无标签多视图数据的特征筛选,尤其在复杂依赖场景下表现优
尽管多视图无监督特征选择(MUFS)在降低无标签多视图数据维度方面已取得成效,但现有方法主要关注特征间的线性相关性,常忽视复杂的非线性依赖关系,限制了特征选择的有效性。同时,现有方法采用固定的视图权重融合多视图相似图,无法反映各样本在视图内邻域清晰度的差异,导致数据内在局部结构表征不准确。本文提出一种基于核对齐的多视图无监督特征选择方法(KAFUSE),首先通过带正交约束的核对齐减少线性与非线性关系中的特征冗余;随后,通过样本级融合由不同视图相似图构成的张量切片,自适应调整每个样本的视图权重,学习跨视图一致性相似图。两个步骤集成于统一模型中,实现相互增强。在真实多视图数据集上的大量实验表明,KAFUSE优于当前主流方法。
原文摘要 · Abstract (English)
Although multi-view unsupervised feature selection (MUFS) has demonstrated success in dimensionality reduction for unlabeled multi-view data, most existing methods reduce feature redundancy by focusing on linear correlations among features but often overlook complex nonlinear dependencies. This limits the effectiveness of feature selection. In addition, existing methods fuse similarity graphs from multiple views by employing sample-invariant weights to preserve local structure. However, this process fails to account for differences in local neighborhood clarity among samples within each view, thereby hindering accurate characterization of the intrinsic local structure of the data. In this paper, we propose a Kernel Alignment-based multi-view unsupervised FeatUre selection with Sample-level adaptive graph lEarning method (KAFUSE) to address these issues. Specifically, we first employ kernel alignment with an orthogonal constraint to reduce feature redundancy in both linear and nonlinear relationships. Then, a cross-view consistent similarity graph is learned by applying sample-level fusion to each slice of a tensor formed by stacking similarity graphs from different views, which automatically adjusts the view weights for each sample during fusion. These two steps are integrated into a unified model for feature selection, enabling mutual enhancement between them. Extensive experiments on real multi-view datasets demonstrate the superiority of KAFUSE over state-of-the-art methods.
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