When measuring the importance of attributes in Tensor-based Multiple Clustering algorithm (TMC), the relevance of attribute combinations within object tensors are ignored, and the selected and unselected feature space are incompletely separated because of the fixed weight strategy under different feature space selection. For above problems, a Multiple Clustering algorithm based on Dynamic Weighted Tensor Distance (DWTD-MC) was proposed. Firstly, a self-association tensor model was constructed to improve the accuracy of attribute importance measurement of each feature space. Then, a multi-view weight tensor model was built to meet the task requirements of multiple clustering analysis by dynamic weighting strategy under different feature space selection. Finally, the dynamic weighted tensor distance was used to measure the similarity of data points, generating multiple clustering results. Simulation results on real datasets show that DWTD-MC outperforms comparative algorithms such as TMC in terms of Jaccard Index (JI), Dunn Index (DI), Davies-Bouldin index (DB) and Silhouette Coefficient (SC). It can obtain high quality clustering results while maintaining low redundancy among clustering results, as well as meeting the task requirements of multiple clustering analysis.
Because multiple kernel learning can avoid selection of kernel functions and parameters effectively, and graph clustering can fully mine complex structural information between samples, Multiple Kernel Graph Clustering (MKGC) has received widespread attention in recent years. However, the existing MKGC methods suffer from the following problems: graph learning technique complicates the model, the high rank of graph Laplacian matrix cannot ensure the learned affinity graph to contain accurate c connected components (block diagonal property), and most of the methods ignore the high-order structural information among the candidate affinity graphs, making it difficult to fully utilize the multiple kernel information. To tackle these problems, a novel MKGC method was proposed. First, a new graph learning method based on capped simplex projection was proposed to directly project the kernel matrices onto graph simplex, which reduced the computational complexity. Meanwhile, a new block diagonal constraint was introduced to keep the accurate block diagonal property of the learned affinity graphs. Moreover, the low-rank tensor learning was introduced in capped simplex projection space to fully mine the high-order structural information of multiple candidate affinity graphs. Compared with the existing MKGC methods on multiple datasets, the proposed method has less computational cost and high stability, and has great advantages in Accuracy (ACC) and Normalized Mutual Information (NMI).