Skip to main content

An Incremental Dual nu-Support Vector Regression Algorithm

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10938))

Abstract

Support vector regression (SVR) has been a hot research topic for several years as it is an effective regression learning algorithm. Early studies on SVR mostly focus on solving large-scale problems. Nowadays, an increasing number of researchers are focusing on incremental SVR algorithms. However, these incremental SVR algorithms cannot handle uncertain data, which are very common in real life because the data in the training example must be precise. Therefore, to handle the incremental regression problem with uncertain data, an incremental dual nu-support vector regression algorithm (dual-v-SVR) is proposed. In the algorithm, a dual-v-SVR formulation is designed to handle the uncertain data at first, then we design two special adjustments to enable the dual-v-SVR model to learn incrementally: incremental adjustment and decremental adjustment. Finally, the experiment results demonstrate that the incremental dual-v-SVR algorithm is an efficient incremental algorithm which is not only capable of solving the incremental regression problem with uncertain data, it is also faster than batch or other incremental SVR algorithms.

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   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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. Scholkopf, B., Smola, A.J.: New support vector algorithms. Neural Comput. Learn. II 1245, 1207–1245 (1998)

    Google Scholar 

  2. Chang, C.-C., Lin, C.-J.: Libsvm. ACM Trans. Intell. Syst. Technol. 2, 1–27 (2011)

    Article  Google Scholar 

  3. Gu, B., Sheng, V.S.: A robust regularization path algorithm for ν-support vector classification. IEEE Trans. Neural Netw. Learn. Syst. 28, 1241–1248 (2017)

    Article  Google Scholar 

  4. Wang, G., Zhang, G., Choi, K., Lu, J.: Deep additive least squares support vector machines for classification with model transfer. IEEE Trans. Syst. Man Cybern. Syst. 1–14 (2017)

    Google Scholar 

  5. Smola, A.J., Schölkopf, B.: A tutorial on support vector regression. Stat. Comput. 14, 199–222 (2001)

    Article  MathSciNet  Google Scholar 

  6. Shevade, S.K., Keerthi, S.S., Bhattacharyya, C., Murthy, K.R.K.: Improvements to the SMO algorithm for SVM regression. IEEE Trans. Neural Netw. 11, 1188–1193 (2000)

    Article  Google Scholar 

  7. Takahashi, N., Guo, J., Nishi, T.: Global convergence of SMO algorithm for support vector regression. IEEE Trans. Neural Netw. 19, 971–982 (2008)

    Article  Google Scholar 

  8. Collobert, R., Williamson, R.C.: SVMTorch: support vector machines for large-scale regression problems. J. Mach. Learn. Res. 1, 143–160 (2001)

    MathSciNet  MATH  Google Scholar 

  9. Ma, J., Theiler, J., Perkins, S.: Accurate on-line support vector regression. Neural Comput. 15, 2683–2703 (2003)

    Article  Google Scholar 

  10. Omitaomu, O.A., Jeong, M.K., Badiru, A.B., Hines, J.W.: Online support vector regression approach for the monitoring of motor shaft misalignment and feedwater flow rate. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 37, 962–970 (2007)

    Article  Google Scholar 

  11. Omitaomu, O.A., Jeong, M.K., Badiru, A.B.: Online support vector regression with varying parameters for time-dependent data. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 41, 191–197 (2011)

    Article  Google Scholar 

  12. Gu, B., Sheng, V.S., Tay, K.Y., Romano, W., Li, S.: Incremental support vector learning for ordinal regression. IEEE Trans. Neural Netw. Learn. Syst. 26, 1403–1416 (2015)

    Article  MathSciNet  Google Scholar 

  13. Gu, B., Sheng, V.S., Wang, Z., Ho, D., Osman, S., Li, S.: Incremental learning for ν -support vector regression. Neural Netw. 67, 140–150 (2015)

    Article  Google Scholar 

  14. Hong, D.H., Hwang, C.H.: Interval regression analysis using quadratic loss support vector machine. IEEE Trans. Fuzzy Syst. 13, 229–237 (2005)

    Article  Google Scholar 

  15. Yang, X., Zhang, G., Lu, J., Ma, J.: A kernel fuzzy c-Means clustering-based fuzzy support vector machine algorithm for classification problems with outliers or noises. IEEE Trans. Fuzzy Syst. 19, 105–115 (2011)

    Article  Google Scholar 

  16. Peng, X., Chen, D., Kong, L., Xu, D.: Interval twin support vector regression algorithm for interval input-output data. Int. J. Mach. Learn. Cybern. 6, 719–732 (2015)

    Article  Google Scholar 

  17. Chen, G., Zhang, X., Wang, Z.J., Li, F.: Robust support vector data description for outlier detection with noise or uncertain data. Knowl.-Based Syst. 90, 129–137 (2015)

    Article  Google Scholar 

  18. Yang, X., Tan, L., He, L.: A robust least squares support vector machine for regression and classification with noise. Neurocomputing 140, 41–52 (2014)

    Article  Google Scholar 

  19. Huang, G., Member, S., Song, S., Wu, C., You, K.: Robust support vector regression for uncertain input and output data. IEEE Trans. Neural Netw. Learn. Syst. 23, 1690–1700 (2012)

    Article  Google Scholar 

  20. Gu, B., Wang, J., Yu, Y., Zheng, G., Huang, Y., Xu, T.: Accurate on-line ν-support vector learning. Neural Netw. 27, 51–59 (2012)

    Article  Google Scholar 

  21. Meyer, D., Leisch, F., Hornik, K.: The support vector machine under test. Neurocomputing 55, 169–186 (2003)

    Article  Google Scholar 

  22. Peng, X.: TSVR: an efficient twin support vector machine for regression. Neural Netw. 23, 365–372 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jie Lu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yu, H., Lu, J., Zhang, G. (2018). An Incremental Dual nu-Support Vector Regression Algorithm. In: Phung, D., Tseng, V., Webb, G., Ho, B., Ganji, M., Rashidi, L. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2018. Lecture Notes in Computer Science(), vol 10938. Springer, Cham. https://doi.org/10.1007/978-3-319-93037-4_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-93037-4_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-93036-7

  • Online ISBN: 978-3-319-93037-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics