Manifold regularization ensemble clustering with many objectives using unsupervised extreme learning machines

Abstract

Spectral clustering has been an effective clustering method, in last decades, because it can get an optimal solution without any assumptions on data’s structure. The basic key in spectral clustering is its similarity matrix. Despite many empirical successes in similarity matrix construction, almost all previous methods suffer from handling just one objective. To address the multi-objective ensemble clustering, we introduce a new ensemble manifold regularization (MR) method based on stacking framework. In our Manifold Regularization Ensemble Clustering (MREC) method, several objective functions are considered simultaneously, as a robust method for constructing the similarity matrix. Using it, the unsupervised extreme learning machine (UELM) is employed to find the generalized eigenvectors to embed the data in low-dimensional space. These eigenvectors are then used as the base point in spectral clustering to find the best partitioning of the data. The aims of this paper are to find robust partitioning that satisfy multiple objectives, handling noisy data, keeping diversity-based goals, and dimension reduction. Experiments on some real-world datasets besides to three benchmark protein datasets demonstrate the superiority of MREC over some state-of-the-art single and ensemble methods.