Skip to main content

Nonnegative Spectral Clustering for Large-Scale Semi-supervised Learning

  • Conference paper
  • First Online:
  • 3596 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11448))

Abstract

This paper proposes a novel clustering approach called Scalable Nonnegative Spectral Clustering (SNSC). Specifically, SNSC preserves the original nonnegative characteristic of the indicator matrix, which leads to a more tractable optimization problem with an accurate solution. Due to the nonnegativity, SNSC offers high interpretability to the indicator matrix, that is, the final cluster labels can be directly obtained without post-processing. SNSC also scales linearly with the data size, thus it can be easily applied to large-scale problems. In addition, limited label information can be naturally incorporated into SNSC for improving clustering performance. Extensive experiments demonstrate the superiority of SNSC as compared to the state-of-the-art methods.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Basu, S., Banerjee, A., Mooney, R.: Semi-supervised clustering by seeding. In: ICML 2002, Citeseer (2002)

    Google Scholar 

  2. Jia, Y., Kwong, S., Hou, J.: Semi-supervised spectral clustering with structured sparsity regularization. IEEE Sig. Process. Lett. 25(3), 403–407 (2018). https://doi.org/10.1109/LSP.2018.2791606

    Article  Google Scholar 

  3. Kuang, D., Ding, C., Park, H.: Symmetric nonnegative matrix factorization for graph clustering. In: SDM 2012, pp. 106–117. SIAM (2012). https://doi.org/10.1137/1.9781611972825.10

  4. Liu, J., Wang, C., Danilevsky, M., Han, J.: Large-scale spectral clustering on graphs. In: AAAI 2013, pp. 1486–1492. AAAI Press (2013)

    Google Scholar 

  5. Liu, W., He, J., Chang, S.F.: Large graph construction for scalable semi-supervised learning. In: ICML 2010, pp. 679–686 (2010)

    Google Scholar 

  6. Musco, C., Musco, C.: Recursive sampling for the nystrom method. In: NeurIPS 2017, pp. 3833–3845 (2017)

    Google Scholar 

  7. Qian, P., et al.: Affinity and penalty jointly constrained spectral clustering with all-compatibility, flexibility, and robustness. IEEE Trans. Neural Netw. Learn. Syst. 28(5), 1123–1138 (2017). https://doi.org/10.1109/TNNLS.2015.2511179

    Article  Google Scholar 

  8. Semertzidis, T., Rafailidis, D., Strintzis, M.G., Daras, P.: Large-scale spectral clustering based on pairwise constraints. Inf. Process. Manag. 51(5), 616–624 (2015). https://doi.org/10.1016/j.ipm.2015.05.007

    Article  Google Scholar 

  9. Von Luxburg, U.: A tutorial on spectral clustering. Stat. Comput. 17(4), 395–416 (2007). https://doi.org/10.1007/s11222-007-9033-z

    Article  MathSciNet  Google Scholar 

  10. Yang, Y., Shen, F., Huang, Z., Shen, H.T., Li, X.: Discrete nonnegative spectral clustering. IEEE Trans. Knowl. Data Eng. 29(9), 1834–1845 (2017). https://doi.org/10.1109/TKDE.2017.2701825

    Article  Google Scholar 

Download references

Acknowledgments

The paper is supported by the National Key R&D Program (2016YFB1000101), the National Natural Science Foundation of China (11801595, U1811462), the Natural Science Foundation of Guangdong (2018A030310076), the Program for Guangdong Introducing Innovative and Entrepreneurial Teams (2016ZT06D211) and the CCF Opening Project of Information System.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuan Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Hu, W., Chen, C., Ye, F., Zheng, Z., Ling, G. (2019). Nonnegative Spectral Clustering for Large-Scale Semi-supervised Learning. In: Li, G., Yang, J., Gama, J., Natwichai, J., Tong, Y. (eds) Database Systems for Advanced Applications. DASFAA 2019. Lecture Notes in Computer Science(), vol 11448. Springer, Cham. https://doi.org/10.1007/978-3-030-18590-9_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-18590-9_30

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-18589-3

  • Online ISBN: 978-3-030-18590-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics