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Adaptive Multi-view Semi-supervised Nonnegative Matrix Factorization

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 9948)


Multi-view clustering, which explores complementary information between multiple distinct feature sets, has received considerable attention. For accurate clustering, all data with the same label should be clustered together regardless of their multiple views. However, this is not guaranteed in existing approaches. To address this issue, we propose Adaptive Multi-View Semi-Supervised Nonnegative Matrix Factorization (AMVNMF), which uses label information as hard constraints to ensure data with same label are clustered together, so that the discriminating power of new representations are enhanced. Besides, AMVNMF provides a viable solution to learn the weight of each view adaptively with only a single parameter. Using \(L_{2,1}\)-norm, AMVNMF is also robust to noises and outliers. We further develop an efficient iterative algorithm for solving the optimization problem. Experiments carried out on five well-known datasets have demonstrated the effectiveness of AMVNMF in comparison to other existing state-of-the-art approaches in terms of accuracy and normalized mutual information.


  • Nonnegative matrix factorization
  • Multi-view learning
  • Semi-supervised learning

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Correspondence to Feng Tian .

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Wang, J., Wang, X., Tian, F., Liu, C.H., Yu, H., Liu, Y. (2016). Adaptive Multi-view Semi-supervised Nonnegative Matrix Factorization. In: Hirose, A., Ozawa, S., Doya, K., Ikeda, K., Lee, M., Liu, D. (eds) Neural Information Processing. ICONIP 2016. Lecture Notes in Computer Science(), vol 9948. Springer, Cham.

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  • Print ISBN: 978-3-319-46671-2

  • Online ISBN: 978-3-319-46672-9

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