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Several methods for triclustering three-dimensional data require the clustersize or the number of clusters in each dimension to be specified. To addressthis issue, the Multi-Slice Clustering (MSC) for 3-order tensor finds signalslices that lie in a low dimensional subspace for a rank-one tensor dataset inorder to find a cluster based on the threshold similarity. We propose anextension algorithm called MSC-DBSCAN to extract the different clusters ofslices that lie in the different subspaces from the data if the dataset is asum of r rank-one tensor (r > 1). Our algorithm uses the same input as the MSCalgorithm and can find the same solution for rank-one tensor data as MSC.

DBSCAN of Multi-Slice Clustering for Third-Order Tensors