Multi-view spectral clustering via integrating nonnegative embedding and spectral embedding

The application of most existing multi-view spectral clustering methods is generally limited by the following three deficiencies. First, the requirement to post-processing, such as K-means or spectral rotation. Second, the susceptibility to parameter selection. Third, the high computation cost. To this end, in this paper we develop a novel method that integrates nonnegative embedding and spectral embedding into a unified framework. Two promising advantages of proposed method include 1) the learned nonnegative embedding directly reveals the consistent clustering result, such that the uncertainty brought by post-processing can be avoided; 2) the involved model is parameter-free, which makes our method more applicable than existing algorithms that introduce many additional parameters. Furthermore, we develop an efficient inexact Majorization-Minimization method to solve the involved model which is non-convex and non-smooth. Experiments on multiple benchmark datasets demonstrate that our method achieves state-of-the-art performance.