arXiv:2510.13917cs.LG2025-10

多视图半监督标签分布学习,通过互补邻居结构提升分类效果。

Multi-View Semi-Supervised Label Distribution Learning with Local Structure Complementarity

  • 利用多视图局部邻域结构互补性建模
  • 在多个数据视图中融合邻居信息,增强表征
  • 首个多视图标签分布学习方法,适合多源数据场景

标签分布学习(LDL)要求每个样本关联一个标签分布。现有方法仅针对单视图有标签数据的LDL问题,而多视图带标签与无标签数据的LDL尚未被研究。本文提出多视图半监督标签分布学习方法(MVSS-LDL),通过挖掘各视图的局部最近邻结构,并强调多视图间局部结构的互补性。具体地,先计算视图$v$中每个样本$oldsymbol{x}_i$的$k$-近邻集合,但该集合仅反映部分邻域信息。为获得更全面的邻域描述,将$oldsymbol{x}_i$在其他视图中的最近邻信息融入当前视图的邻域集。基于补全后的邻域结构,构建基于图学习的多视图半监督LDL模型。通过利用多视图局部结构互补性,不同视图可互为补充,提供更完整的局部结构信息。据我们所知,这是首个面向多视图标签分布学习的工作。数值实验表明,该方法显著优于现有单视图LDL方法。

原文摘要 · Abstract (English)

Label distribution learning (LDL) is a paradigm that each sample is associated with a label distribution. At present, the existing approaches are proposed for the single-view LDL problem with labeled data, while the multi-view LDL problem with labeled and unlabeled data has not been considered. In this paper, we put forward the multi-view semi-supervised label distribution learning with local structure complementarity (MVSS-LDL) approach, which exploits the local nearest neighbor structure of each view and emphasizes the complementarity of local nearest neighbor structures in multiple views. Specifically speaking, we first explore the local structure of view $v$ by computing the $k$-nearest neighbors. As a result, the $k$-nearest neighbor set of each sample $\boldsymbol{x}_i$ in view $v$ is attained. Nevertheless, this $k$-nearest neighbor set describes only a part of the nearest neighbor information of sample $\boldsymbol{x}_i$. In order to obtain a more comprehensive description of sample $\boldsymbol{x}_i$'s nearest neighbors, we complement the nearest neighbor set in view $v$ by incorporating sample $\boldsymbol{x}_i$'s nearest neighbors in other views. Lastly, based on the complemented nearest neighbor set in each view, a graph learning-based multi-view semi-supervised LDL model is constructed. By considering the complementarity of local nearest neighbor structures, different views can mutually provide the local structural information to complement each other. To the best of our knowledge, this is the first attempt at multi-view LDL. Numerical studies have demonstrated that MVSS-LDL attains explicitly better classification performance than the existing single-view LDL methods.

标签分布学习多视图学习半监督图学习

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