Skip to main content

A Novel Manifold Regularized Online Semi-supervised Learning Algorithm

  • Conference paper
  • First Online:
Neural Information Processing (ICONIP 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9947))

Included in the following conference series:

Abstract

In this paper, we propose a novel manifold regularized online semi-supervised learning (OS\(^2\)L) model in an Reproducing Kernel Hilbert Space (RK-HS). The proposed algorithm, named Model-Based Online Manifold Regularization (MOMR), is derived by solving a constrained optimization problem, which is different from the stochastic gradient algorithm used for solving the online version of the primal problem of Laplacian support vector machine (LapSVM). Taking advantage of the convex property of the proposed model, an exact solution can be obtained iteratively by solving its Lagrange dual problem. Furthermore, a buffering strategy is introduced to improve the computational efficiency of the algorithm. Finally, the proposed algorithm is experimentally shown to have a comparable performance to the standard batch manifold regularization algorithm.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

References

  1. Babenko, B., Yang, M.H., Belongie, S.: Visual tracking with online multiple instance learning. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 983–990 (2009)

    Google Scholar 

  2. Belkin, M., Niyogi, P., Sindhwani, V.: Manifold regularization: a geometric framework for learning from labeled and unlabeled examples. J. Mach. Learn. Res. 7, 2399–2434 (2006)

    MathSciNet  MATH  Google Scholar 

  3. Dyer, K.B., Capo, R., Polikar, R.: Compose: a semisupervised learning framework for initially labeled nonstationary streaming data. IEEE Trans. Neural Netw. Learn. Syst. 25(1), 12–26 (2014)

    Article  Google Scholar 

  4. Farajtabar, M., Shaban, A., Rabiee, H.R., Rohban, M.H.: Manifold coarse graining for online semi-supervised learning. In: Gunopulos, D., Hofmann, T., Malerba, D., Vazirgiannis, M. (eds.) ECML PKDD 2011. LNCS (LNAI), vol. 6911, pp. 391–406. Springer, Heidelberg (2011). doi:10.1007/978-3-642-23780-5_35

    Chapter  Google Scholar 

  5. Gibson, B.R., Rogers, T.T., Zhu, X.: Human semi-supervised learning. Top. Cogn. Sci. 5(1), 132–172 (2013)

    Article  Google Scholar 

  6. Goldberg, A.B., Li, M., Zhu, X.: Online manifold regularization: a new learning setting and empirical study. In: Daelemans, W., Goethals, B., Morik, K. (eds.) ECML PKDD 2008. LNCS (LNAI), vol. 5211, pp. 393–407. Springer, Heidelberg (2008). doi:10.1007/978-3-540-87479-9_44

    Chapter  Google Scholar 

  7. Sun, B.L., Li, G.H., Jia, L., Zhang, H.: Online manifold regularization by dual ascending procedure. Math. Probl. Eng. 2013 (2013). doi:10.1155/2013/838439

    Google Scholar 

  8. Goldberg, A.B., Zhu, X.J., Furger, A., Xu, J.M.: Oasis: online active semi-supervised learning. In: Proceedings of the Twenty-Fifth AAAI Conference on Artificial Intelligence, pp. 1–6 (2011)

    Google Scholar 

  9. Grabner, H., Leistner, C., Bischof, H.: Semi-supervised on-line boosting for robust tracking. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008. LNCS, vol. 5302, pp. 234–247. Springer, Heidelberg (2008). doi:10.1007/978-3-540-88682-2_19

    Chapter  Google Scholar 

  10. Heisele, B., Poggio, T., Pontil, M.: Face detection in still gray images. AI Memo 1697, Center for Biological and Computational Learning, MIT, Cambridge, MA (2000)

    Google Scholar 

  11. Kveton, B., Philipose, M., Valko, M., Huang, L.: Online semi-supervised perception: real-time learning without explicit feedback. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), pp. 15–21 (2010)

    Google Scholar 

  12. LeCun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)

    Article  Google Scholar 

  13. Schölkopf, B., Herbrich, R., Smola, A.J.: A generalized representer theorem. In: Helmbold, D., Williamson, B. (eds.) COLT 2001. LNCS (LNAI), vol. 2111, pp. 416–426. Springer, Heidelberg (2001). doi:10.1007/3-540-44581-1_27

    Chapter  Google Scholar 

  14. Sun, B.L., Li, G.H., Jia, L., Huang, K.H.: Online coregularization for multiview semisupervised learning. Sci. World J. 2013 (2013). doi:10.1155/2013/398146

    Google Scholar 

Download references

Acknowledgment

This work is partly supported by NFSC grants 61375005 and MOST grants 2015BAK-35B01.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhiyong Liu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Ding, S., Xi, X., Liu, Z., Qiao, H., Zhang, B. (2016). A Novel Manifold Regularized Online Semi-supervised Learning Algorithm. 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 9947. Springer, Cham. https://doi.org/10.1007/978-3-319-46687-3_66

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46687-3_66

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46686-6

  • Online ISBN: 978-3-319-46687-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics