基于多源信息重构视图的不完备多视图自表示聚类
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TP311

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国家自然科学基金项目(62266029);甘肃省重点研发计划项目(24YFGA036);甘肃省高等学校产业支撑计划项目(2022CYZC-36).


Multi-source information reconstruction and self-representation for incomplete multi-view clustering
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    摘要:

    针对现有不完备多视图聚类算法在恢复缺失数据时未保留原始结构, 无法准确捕获多视图数据中局部结构和高阶信息等问题, 提出基于多源信息重构视图的不完备多视图自表示聚类算法(MSRS). 首先, 利用多源信息重构反映原始数据结构特征的视图; 然后, 基于重构的视图, 采用一种结合稀疏约束与局部结构捕获的正则化方法, 并引入加权张量${\rm Schatten}\text{-}p $范数以动态控制不同奇异值的贡献, 从而有效学习各视图的高质量自表示矩阵; 最后, 通过与9个先进的基线算法在3个真实和4个仿真不完备数据集上的实验结果表明, 所提出算法在大多数情况下显著优于基线算法.

    Abstract:

    Existing incomplete multi-view clustering algorithms face several limitations, including the difficulty in preserving the original structure during missing instances recovery, and the inability to accurately capture local structures and high-order information in multi-view data. To address these issues, a multi-source information reconstruction and self-representation (MSRS) for incomplete multi-view clustering algorithm is proposed. The MSRS first reconstructs incomplete views that reflect the original data structure based on multi-source information. Then, based on the reconstructed views, the MSRS employs an effective regularization method that combines sparse constraints with local structure preservation, and introduces a weighted tensor ${\rm Schatten}\text{-}p $ norm to dynamically control the contributions of different singular values, thereby learning high-quality self-representation matrices for each view. Experiments comparing the MSRS with nine advanced baseline algorithms on various incomplete datasets demonstrate that, the proposed algorithm significantly outperforms the baselines in most cases.

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陈梅,王洁,郭爱霞,等.基于多源信息重构视图的不完备多视图自表示聚类[J].控制与决策,2026,41(3):765-776

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  • 收稿日期:2025-07-05
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  • 在线发布日期: 2026-03-04
  • 出版日期: 2026-03-10
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