解耦投影与共享一致性多视图子空间聚类
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华东交通大学

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江西省自然科学基金项目(20242BAB25005)


Decoupled Projection and Shared Consistency Multi-View Subspace Clustering
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    摘要:

    多视图数据通常存在特征空间异构及噪声问题,严重影响子空间聚类的稳定性和准确性。针对现有方法难以有效处理视图维度差异和低质量视图影响的局限,本文提出一种解耦投影与共享结构一致性的多视图子空间聚类方法(DP-SC-MVC)。该模型为每个视图设计独立的线性投影矩阵,实现特征解耦与维度对齐;同时学习跨视图共享表示,并施加低秩约束保持结构一致性;引入动态加权机制自适应调整各视图贡献,抑制劣质视图干扰;结合范数正则化增强对噪声和异常点的鲁棒性。最终构建统一优化框架,通过增广拉格朗日乘子法和交替方向最小化求解。在多个多视图基准数据集上的实验结果表明,该方法在聚类性能上显著优于现有主流多视图子空间聚类方法。DP-SC-MVC方法有效处理了特征空间异构性和噪声问题,具有较好的实用价值和广泛的应用前景。

    Abstract:

    Multi-view data often suffer from feature space heterogeneity and noise interference, which severely affect the stability and accuracy of subspace clustering. To address the limitations of existing methods in handling view dimension differences and low-quality view impacts, this paper proposes a decoupled projection and shared structural consistency multi-view subspace clustering method (DP-SC-MVC). The model designs independent linear projection matrices for each view to achieve feature decoupling and dimension alignment. It simultaneously learns a shared representation across views and imposes low-rank constraints to maintain structural consistency. A dynamic weighting mechanism is introduced to adaptively adjust the contribution of each view, suppressing the interference from inferior views. Additionally, -norm regularization is incorporated to enhance robustness against noise and outliers. The unified optimization framework is solved using the augmented Lagrange multiplier method and alternating direction minimization. Experimental results on multiple multi-view benchmark datasets demonstrate that the proposed method significantly outperforms existing mainstream multi-view subspace clustering methods in terms of clustering performance. The DP-SC-MVC method effectively addresses the issues of feature space heterogeneity and noise, demonstrating strong practical value and broad application prospects.

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  • 收稿日期:2026-03-10
  • 最后修改日期:2026-03-30
  • 录用日期:2026-04-13
  • 在线发布日期: 2026-07-06
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