Multi-view data analysis has gained increasing popularity, in particular multi-view spectral clustering has attracted much attention for its outstanding performance in
mining heterogeneity information in multi-view data. However, most spectral clustering
methods exhibit the following disadvantages: firstly, learning consensus representation
directly from multi-view data that may contain noise renders a distorted description;
secondly, the traditional two-step process may fall into a suboptimal solution. To overcome these disadvantages, a novel multi-view spectral clustering method is proposed by
unifying the optimization of consensus Laplacian matrix and the learning and discretization of spectral embedding into one step. We consider that the optimal Laplacian matrix
is in the neighborhood of view-specific Laplacian matrix, as the view-specific Laplacian
matrix only contains partial information from multi-view data, resulting in certain deviation from the optimal Laplacian matrix. The consensus Laplacian matrix was obtained
in a dynamic optimization way with the spectral rotation and embedding information simultaneously determined. Extensive experiments have been conducted to demonstrate
the effectiveness and superiority of our proposed method.