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Partial Multi-view Subspace Clustering

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Published:15 October 2018Publication History

ABSTRACT

For many real-world multimedia applications, data are often described by multiple views. Therefore, multi-view learning researches are of great significance. Traditional multi-view clustering methods assume that each view has complete data. However, missing data or partial data are more common in real tasks, which results in partial multi-view learning. Therefore, we propose a novel multi-view clustering method, called Partial Multi-view Subspace Clustering (PMSC), to address the partial multi-view problem. Unlike most existing partial multi-view clustering methods that only learn a new representation of the original data, our method seeks the latent space and performs data reconstruction simultaneously to learn the subspace representation. The learned subspace representation can reveal the underlying subspace structure embedded in original data, leading to a more comprehensive data description. In addition, we enforce the subspace representation to be non-negative, yielding an intuitive weight interpretation among different data. The proposed method can be optimized by the Augmented Lagrange Multiplier (ALM) algorithm. Experiments on one synthetic dataset and four benchmark datasets validate the effectiveness of PMSC under the partial multi-view scenario.

References

  1. Xiaochun Cao, Changqing Zhang, Huazhu Fu, Si Liu, and Hua Zhang. 2015. Diversity-induced multi-view subspace clustering. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition. 586--594.Google ScholarGoogle ScholarCross RefCross Ref
  2. Ehsan Elhamifar and Rene Vidal. 2013. Sparse subspace clustering: Algorithm, theory, and applications. IEEE Transactions on Pattern Analysis and Machine Intelligence , Vol. 35, 11 (2013), 2765--2781. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Hongchang Gao, Feiping Nie, Xuelong Li, and Heng Huang. 2015. Multi-view subspace clustering. In Proceedings of the IEEE International Conference on Computer Vision. 4238--4246. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Jun Guo and Wenwu Zhu. 2018. Partial multi-view outlier detection based on collective learning. In Proceedings of AAAI Conference on Artificial Intelligence. 298--305.Google ScholarGoogle Scholar
  5. Di Huang, Jia Sun, and Yunhong Wang. 2012. The buaa-visnir face database instructions. School Comput. Sci. Eng., Beihang Univ., Beijing, China, Tech. Rep. IRIP-TR-12-FR-001 (2012).Google ScholarGoogle Scholar
  6. Jun Li, Yu Kong, and Yun Fu. 2017. Sparse subspace clustering by learning approximation $ell _rm0 $ codes. In Proceedings of the AAAI Conference on Artificial Intelligence. 2189--2195.Google ScholarGoogle Scholar
  7. Shaoyuan Li, Yuan Jiang, and Zhihua Zhou. 2014. Partial multi-view clustering. In Proceedings of AAAI Conference on Artificial Intelligence. 1968--1974. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Tao Li, Mitsunori Ogihara, Wei Peng, Bo Shao, and Shenghuo Zhu. 2009. Music clustering with features from different information sources. IEEE Transactions on Multimedia , Vol. 11, 3 (2009), 477--485. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Zhouchen Lin, Risheng Liu, and Zhixun Su. 2011. Linearized alternating direction method with adaptive penalty for low-rank representation. In Proceedings of Advances in Neural Information Processing Systems. 612--620. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Guangcan Liu, Zhouchen Lin, Shuicheng Yan, Ju Sun, Yong Yu, and Yi Ma. 2013. Robust recovery of subspace structures by low-rank representation. IEEE Transactions on Pattern Analysis and Machine Intelligence , Vol. 35, 1 (2013), 171--184. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Canyi Lu, Hai Min, Zhongqiu Zhao, Lin Zhu, Deshuang Huang, and Shuicheng Yan. 2012. Robust and efficient subspace segmentation via least squares regression. In Proceedings of the European Conference on Computer Vision. 347--360. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. Canyi Lu, Hai Min, Zhongqiu Zhao, Lin Zhu, Deshuang Huang, and Shuicheng Yan. 2015. Structured sparse subspace clustering: A unified optimization framework. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition . 277--286.Google ScholarGoogle Scholar
  13. Andrew Y Ng, Michael I Jordan, and Yair Weiss. 2002. On spectral clustering: Analysis and an algorithm. In Proceedings of Advances in Neural Information Processing Systems. 849--856. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Feiping Nie, Guohao Cai, and Xuelong Li. 2017. Multi-view clustering and semi-supervised classification with adaptive neighbours. In Proceedings of AAAI Conference on Artificial Intelligence. 2408--2414.Google ScholarGoogle Scholar
  15. Chong Peng, Zhao Kang, and Qiang Cheng. 2017. Subspace clustering via variance regularized ridge regression. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition. 4321--4330.Google ScholarGoogle ScholarCross RefCross Ref
  16. Weixiang Shao, Lifang He, and S Yu Philip. 2015. Multiple incomplete views clustering via weighted nonnegative matrix factorization with $L_2,1 $ regularization. In Joint European Conference on Machine Learning and Knowledge Discovery in Databases. 318--334. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. Bokun Wang, Yang Yang, Xing Xu, Alan Hanjalic, and Heng Tao Shen. 2017b. Adversarial cross-modal retrieval. In Proceedings of the ACM on Multimedia Conference . 154--162. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. Qifan Wang, Luo Si, and Bin Shen. 2015b. Learning to hash on partial multi-modal data. In Proceedings of the International Joint Conference on Artificial Intelligence. 3904--3910. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Xiaobo Wang, Xiaojie Guo, Zhen Lei, Changqing Zhang, and Stan Z Li. 2017a. Exclusivity-consistency regularized multi-view subspace clustering. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition . 923--931.Google ScholarGoogle ScholarCross RefCross Ref
  20. Yang Wang, Xuemin Lin, Lin Wu, Wenjie Zhang, Qing Zhang, and Xiaodi Huang. 2015a. Robust subspace clustering for multi-view data by exploiting correlation consensus. IEEE Transactions on Image Processing , Vol. 24, 11 (2015), 3939--3949.Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. Ming Yin, Junbin Gao, Zhouchen Lin, Qinfeng Shi, and Yi Guo. 2015a. Dual graph regularized latent low-rank representation for subspace clustering. IEEE Transactions on Image Processing , Vol. 24, 12 (2015), 4918--4933.Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. Qiyue Yin, Shu Wu, Ran He, and Liang Wang. 2015c. Multi-view clustering via pairwise sparse subspace representation. Neurocomputing , Vol. 156 (2015), 12--21. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. Qiyue Yin, Shu Wu, and Liang Wang. 2015b. Incomplete multi-view clustering via subspace learning. In Proceedings of the ACM International on Conference on Information and Knowledge Management . 383--392. Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. Qiyue Yin, Shu Wu, and Liang Wang. 2017. Unified subspace learning for incomplete and unlabeled multi-view data. Pattern Recognition , Vol. 67 (2017), 313--327. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. Changqing Zhang, Huazhu Fu, Si Liu, Guangcan Liu, and Xiaochun Cao. 2015. Low-rank tensor constrained multiview subspace clustering. In Proceedings of the IEEE International Conference on Computer Vision. 1582--1590. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Changqing Zhang, Qinghua Hu, Huazhu Fu, Pengfei Zhu, and Xiaochun Cao. 2017. Latent multi-view subspace clustering. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition. 4279--4287.Google ScholarGoogle ScholarCross RefCross Ref
  27. Handong Zhao, Zhengming Ding, and Yun Fu. 2017. Multi-view clustering via deep matrix factorization. In Proceedings of AAAI Conference on Artificial Intelligence. 2921--2927.Google ScholarGoogle Scholar
  28. Handong Zhao and Yun Fu. 2015. Dual-regularized multi-view outlier detection. In Proceedings of the International Joint Conference on Artificial Intelligence. 4077--4083. Google ScholarGoogle ScholarDigital LibraryDigital Library
  29. Handong Zhao, Hongfu Liu, and Yun Fu. 2016a. Incomplete multi-modal visual data grouping. In Proceedings of the International Joint Conference on Artificial Intelligence. 2392--2398. Google ScholarGoogle ScholarDigital LibraryDigital Library
  30. Zhou Zhao, Hanqing Lu, Deng Cai, Xiaofei He, and Yueting Zhuang. 2016b. Partial multi-modal sparse coding via adaptive similarity structure regularization. In Proceedings of the ACM on Multimedia Conference . 152--156. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  1. Partial Multi-view Subspace Clustering

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    • Published in

      cover image ACM Conferences
      MM '18: Proceedings of the 26th ACM international conference on Multimedia
      October 2018
      2167 pages
      ISBN:9781450356657
      DOI:10.1145/3240508

      Copyright © 2018 ACM

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      Publication History

      • Published: 15 October 2018

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      MM '18 Paper Acceptance Rate209of757submissions,28%Overall Acceptance Rate995of4,171submissions,24%

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