Shared Low-Rank Correlation Embedding for Multiple Feature Fusion

The diversity of multimedia data in the real world usually forms heterogeneous types of feature sets. How to explore the structure information and the relationships among multiple features is still an open problem. In this paper, we propose an unsupervised subspace learning method, named the shared low-rank correlation embedding (SLRCE) for multiple feature fusion. First, in the learned subspace, we implement the low-rank representation on each feature set and enforce a shared low-rank constraint to uncover the common structure information of multiple features. Second, we develop an enhanced correlation analysis in the learned subspace for simultaneously removing the redundancy of each feature set and exploring the correlation of multiple features. Finally, we incorporate the shared low-rank representation and the correlation analysis into a unified framework. The shared low-rank constraint not only depicts the data distribution consistency among multiple features, but also assists robust subspace learning. Our method is robust to noise in practice and can be extended to the kernel case to handle the nonlinear feature fusion. Experimental results on several typical datasets demonstrate the superior performance of the proposed methods.