Skip to main content

\(L_1\)-Regularized Continuous Conditional Random Fields

  • Conference paper
  • First Online:
PRICAI 2016: Trends in Artificial Intelligence (PRICAI 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9810))

Included in the following conference series:

Abstract

Continuous Conditional Random Fields (CCRF) has been widely applied to various research domains as an efficient approach for structural regression. In previous studies, the weights of CCRF are constrained to be positive from a theoretical perspective. This paper extends the definition domains of weights of CCRF and thus introduces \(L_1\) norm to regularize CCRF, which enables CCRF to perform feature selection. We provide a plausible learning method for \(L_1\)-Regularized CCRF (\(L_1\)-CCRF) and verify its effectiveness. Moreover, we demonstrate that the proposed \(L_1\)-CCRF performs well in selecting key features related to the various customers’ power usages in Smart Grid.

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

Notes

  1. 1.

    http://www.cl.cam.ac.uk/research/rainbow/projects/ccrf/.

References

  1. Andrew, G., Gao, J.: Scalable training of \(L_1\)-regularized log-linear models. In: Proceedings of the 24th International Conference on Machine Learning, pp. 33–40. ACM (2007)

    Google Scholar 

  2. Baltrusaitis, T., Banda, N., Robinson, P.: Dimensional affect recognition using continuous conditional random fields. In: IEEE Automatic Face and Gesture Recognition, pp. 1–8 (2013)

    Google Scholar 

  3. Guo, H.: Accelerated continuous conditional random fields for load forecasting. IEEE Trans. Knowl. Data Eng. 27(8), 2023–2033 (2015)

    Article  Google Scholar 

  4. Ketter, W., Collins, J., Reddy, P., Weerdt, M.: The power trading agent competition. ERIM Report Series Reference No. ERS–004-LIS (2014)

    Google Scholar 

  5. Lafferty, J.: Conditional random fields: probabilistic models for segmenting and labeling sequence data. In: Proceedings of the 18th International Conference on Machine Learning (ICML-2001) (2001)

    Google Scholar 

  6. Lavergne, T., Cappé, O., Yvon, F.: Practical very large scale CRFs. In: Proceedings of the 48th Annual Meeting of the Association for Computational Linguistics, pp. 504–513. Association for Computational Linguistics (2010)

    Google Scholar 

  7. Liu, D., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Program. 45(1–3), 503–528 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ng, A.: Feature selection, \(L_1\) vs. \(L_2\) regularization, and rotational invariance. In: Proceedings of the Twenty-first International Conference on Machine Learning, pp. 78–85. ACM (2004)

    Google Scholar 

  9. Qin, T., Liu, T., Zhang, X., Wang, D., Li, H.: Global ranking using continuous conditional random fields. In: Advances in Neural Information Processing Systems, pp. 1281–1288 (2009)

    Google Scholar 

  10. Radosavljevic, V., Vucetic, S., Obradovic, Z.: Continuous conditional random fields for regression in remote sensing. In: ECAI, pp. 809–814 (2010)

    Google Scholar 

  11. Xin, X., King, I., Deng, H., Lyu, M.R.: A social recommendation framework based on multi-scale continuous conditional random fields. In: Proceedings of the 18th ACM Conference on Information and Knowledge Management, pp. 1247–1256. ACM (2009)

    Google Scholar 

  12. Yu, J., Vishwanathan, S., Günter, S., Schraudolph, N.: A quasi-newton approach to nonsmooth convex optimization problems in machine learning. J. Mach. Learn. Res. 11, 1145–1200 (2010)

    MathSciNet  MATH  Google Scholar 

  13. Zhang, T.: Solving large scale linear prediction problems using stochastic gradient descent algorithms. In: Proceedings of the Twenty-first International Conference on Machine Learning, pp. 116–123. ACM (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xishun Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Wang, X., Ren, F., Liu, C., Zhang, M. (2016). \(L_1\)-Regularized Continuous Conditional Random Fields. In: Booth, R., Zhang, ML. (eds) PRICAI 2016: Trends in Artificial Intelligence. PRICAI 2016. Lecture Notes in Computer Science(), vol 9810. Springer, Cham. https://doi.org/10.1007/978-3-319-42911-3_67

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-42911-3_67

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42910-6

  • Online ISBN: 978-3-319-42911-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics