Robust structure low-rank representation in latent space

Subspace clustering algorithms are usually used when processing high-dimensional data, such as in computer vision. This paper presents a robust low-rank representation (LRR) method that incorporates structure constraints and dimensionality reduction for subspace clustering. The existing LRR and its extensions use noise data as the dictionary, while this influences the final clustering results. The method proposed in this paper uses a discriminant dictionary for matrix recovery and completion in order to find the lowest rank representation of the data matrix. As the algorithm performs clustering operations in low-dimensional latent space, the computational efficiency of the algorithm is higher, which is also a major advantage of the proposed algorithm in this paper. A large number of experiments on standard datasets show the efficiency and effectiveness of the proposed method in subspace clustering problems.