Convex Sparse Spectral Clustering: Single-View to Multi-View | |
Lu, Canyi ; Yan, Shuicheng ; Lin, Zhouchen | |
刊名 | IEEE TRANSACTIONS ON IMAGE PROCESSING |
2016 | |
关键词 | Sparse spectral clustering multi-view clustering convex optimization FACE RECOGNITION SUBSPACE SEGMENTATION GRAPH |
DOI | 10.1109/TIP.2016.2553459 |
英文摘要 | Spectral clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensional embedding U of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on U-T to get the final clustering result. In this paper, we observe that, in the ideal case, UUT should be block diagonal and thus sparse. Therefore, we propose the sparse SC (SSC) method that extends the SC with sparse regularization on UUT. To address the computational issue of the nonconvex SSC model, we propose a novel convex relaxation of SSC based on the convex hull of the fixed rank projection matrices. Then, the convex SSC model can be efficiently solved by the alternating direction method of multipliers Furthermore, we propose the pairwise SSC that extends SSC to boost the clustering performance by using the multi-view information of data. Experimental comparisons with several baselines on real-world datasets testify to the efficacy of our proposed methods.; Singapore National Research Foundation under International Research Centre through the Singapore Funding Initiative; National Basic Research Program of China (973 Program) [2015CB352502]; National Natural Science Foundation of China [61272341, 61231002]; Microsoft Research Asia Collaborative Research Program; SCI(E); EI; ARTICLE; canyilu@gmail.com; eleyans@nus.edu.sg; zlin@pku.edu.cn; 6; 2833-2843; 25 |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/437176] |
专题 | 信息科学技术学院 |
推荐引用方式 GB/T 7714 | Lu, Canyi,Yan, Shuicheng,Lin, Zhouchen. Convex Sparse Spectral Clustering: Single-View to Multi-View[J]. IEEE TRANSACTIONS ON IMAGE PROCESSING,2016. |
APA | Lu, Canyi,Yan, Shuicheng,&Lin, Zhouchen.(2016).Convex Sparse Spectral Clustering: Single-View to Multi-View.IEEE TRANSACTIONS ON IMAGE PROCESSING. |
MLA | Lu, Canyi,et al."Convex Sparse Spectral Clustering: Single-View to Multi-View".IEEE TRANSACTIONS ON IMAGE PROCESSING (2016). |
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