基于自相关矩阵的自适应多视图融合聚类算法

    Adaptive Multi-view-fusion Clustering Algorithm Based on Self-correlative Matrix

    • 摘要: 在多视图聚类问题中,视图间的互补性信息与差异性信息会给聚类效果带来影响;同时样本点包含的重要性信息不同,也会对聚类效果产生不同的干扰。现有方法有些没有充分利用视图间的互补性信息,或者没有利用各视图间的差异性信息和样本点中的重要性信息,导致聚类效果不佳。针对上述问题,提出基于自相关矩阵的自适应多视图融合聚类算法(Adaptive Multi-view-fusion Clustering based on Self-correlative Matrix, AMCSM)。首先,使用特征直连技术,以更好地利用视图间的互补性信息;其次,使用自动权重机制为各视图自适应地分配适当的权重,以充分利用视图间的差异性信息;最后,对各视图施加对角的加权矩阵,并联合自相关矩阵以充分利用样本点中的重要性信息。设计统一的多步迭代框架将上述优化方案整合一起,使视图互补性信息、视图差异性信息与样本点重要性信息在迭代过程中相互促进、相互学习。实验结果表明,在灵敏度、精准度、特异度、调整兰德系数、马修斯相关系数等评价指标上,所提算法均取得优良结果且更具鲁棒性。

       

      Abstract: In multi-view clustering problems, the complementary information and difference information between views have impact on the clustering effect, while the importance conveyed by the sample points also affects the clustering effect. Some existing methods do not fully utilize the complementary information between views, some do not consider the difference information between views, and some do not utilize the importance of sample points, resulting in poor clustering performance. To address the above issues, an adaptive multi-view-fusion clustering algorithm based on self-correlative matrix (AMCSM) is proposed. Firstly, feature concatenating is used to better utilize complementary information between views; Secondly, the auto-weighted mechanism is introduced to adaptively assign appropriate weights to each view, to fully utilize the difference information between views; Finally, diagonal weighted matrices and self-correlative matrices are simultaneously utilized to mine important information conveyed by the sample points. A unified multi-step iterative framework is designed to integrate the above optimization solutions, so that complementary information, difference information, and important information of sample points can promote and learn from each other during the iteration process. The experimental results show that the proposed algorithm achieves excellent results in evaluation metrics such as sensitivity, precision, specificity, adjusted Rand Index, and Matthews correlation coefficient, which is more robust.

       

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