The invention provides a multi-view
subspace clustering method (TNMVSC) based on a non-convex
tensor nuclear norm. According to the method, the low-rank representation theory (LRR), the
graph regularization technology and the
tensor decomposition theory are combined, and the
global structure and the local attribute of each view can be captured at the same time. Besides, the TNMVSC decomposes each low-rank representation
sparse matrix into three factor matrixes through a matrix three-factor
decomposition theory so as to realize alignment of the representation matrixes, thereby ensuring that the generated core matrix can effectively retain key information. Meanwhile, a non-convex low-rank
tensor nuclear norm is adopted to capture high-order correlation among a plurality of core matrixes. In the aspect of
algorithm optimization, on the basis of the established optimization model, an alternating direction
multiplier method (ADMM) is adopted to carry out optimization solution on the representation matrix of each view. And then, performing angle correction on the fused representation matrix to obtain a
similarity matrix among the samples, and clustering the
similarity matrix by using a
spectral clustering method to realize clustering of the samples. In order to verify the effectiveness of the TNMVSC, tests are performed on reference data sets in multiple fields, including
computer vision,
bioinformatics,
social media analysis and the like. A large number of
simulation experiment results show that the TNMVSC is excellent in clustering precision and robustness, and the performance of multi-view clustering can be effectively improved.