@article{Gao_Xia_Wan_Xie_Zhang_2020, title={Tensor-SVD Based Graph Learning for Multi-View Subspace Clustering}, volume={34}, url={https://ojs.aaai.org/index.php/AAAI/article/view/5807}, DOI={10.1609/aaai.v34i04.5807}, abstractNote={<p>Low-rank representation based on tensor-Singular Value Decomposition (t-SVD) has achieved impressive results for multi-view subspace clustering, but it does not well deal with noise and illumination changes embedded in multi-view data. The major reason is that all the singular values have the same contribution in tensor-nuclear norm based on t-SVD, which does not make sense in the existence of noise and illumination change. To improve the robustness and clustering performance, we study the weighted tensor-nuclear norm based on t-SVD and develop an efficient algorithm to optimize the weighted tensor-nuclear norm minimization (WTNNM) problem. We further apply the WTNNM algorithm to multi-view subspace clustering by exploiting the high order correlations embedded in different views. Extensive experimental results reveal that our WTNNM method is superior to several state-of-the-art multi-view subspace clustering methods in terms of performance.</p>}, number={04}, journal={Proceedings of the AAAI Conference on Artificial Intelligence}, author={Gao, Quanxue and Xia, Wei and Wan, Zhizhen and Xie, Deyan and Zhang, Pu}, year={2020}, month={Apr.}, pages={3930-3937} }