Abstract

Most of the probabilistic mixture models perform clustering by observing the eigenvectors of the data sample and these models rely on the layout of features. Clustering ensemble based on similarity matrices avoids complex processing of samples by only accessing basic clusters. However, while there are many literatures on the probability mixture model for clustering, there is almost no study focusing on applying the similarity matrix to the probability mixture model. Therefore, a new clustering method called block clustering structure of evidence accumulation matrix (BEAM) is proposed in this study by combining the clustering ensemble and the probability mixture model. Specifically, evidence accumulation (EA) is developed to obtain a similarity matrix of samples. The interpretability of the similarity matrix can be improved due to sample-based similarity measures, and then the diagonal block model is designed to identify representative block cluster structures from the similarity matrix. The proposed method has been evaluated on the BCI Competition IV Data set 1 and the block-diagonal structure of the similarity matrix is discovered, which ensures high similarity within the same cluster and large separation between the clusters. In addition, the Davies-Bouldin index (DBI) and adjusted rand index (ARI) are used to evaluate BEAM performance. The results show that the proposed method is superior to the state-of-the-art approaches.

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