Skip to main content

Generalization of Local Temporal Correlation Common Spatial Patterns Using Lp-norm (0 < p < 2)

  • Conference paper
  • First Online:
Neural Information Processing (ICONIP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10637))

Included in the following conference series:

Abstract

As one of the effective feature extraction methods, common spatial patterns (CSP) is widely used for classification of multichannel electroencephalogram (EEG) signals in the motor imagery-based brain-compute interface (BCI) system. The formulation of the conventional CSP based on L2-norm, however, implies that it is sensitive to the presence of outliers. Local temporal correlation common spatial patterns (LTCCSP), as an extension of CSP by introducing the local temporal correlation information into the covariance modelling of the classical CSP algorithm, extracts more discriminative features. In order to further improve the robustness of the classification, in this paper, we generalize the LTCCSP algorithm by replacing the L2-norm with Lp-norm (0 < p < 2) in the objective function, called LTCCSP-Lp. An iterative algorithm is designed under the framework of minorization-maximization (MM) optimization algorithm to obtain the optimal spatial filters of LTCCSP-Lp. The iterative solution is justified in theory and the effectiveness of our novel proposed method is verified by experimental results on a toy example and datasets of BCI competitions.

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 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

Institutional subscriptions

References

  1. Lotte, F., Guan, C.: Regularizing common spatial patterns to improve BCI designs: unified theory and new algorithms. IEEE Trans. Biomed. Eng. 58(2), 355–362 (2011)

    Article  Google Scholar 

  2. Wang, H., Zheng, W.: Local temporal common spatial patterns for robust single-trial EEG classification. IEEE Trans. Neural Syst. Rehabil. Eng. 16(2), 131–139 (2008)

    Article  Google Scholar 

  3. Zhang, R., et al.: Local temporal correlation common spatial patterns for single trial EEG classification during motor imagery. Comput. Math. Methods Med. 2013, 7 p. (2013). Article ID 591216

    Google Scholar 

  4. Wang, H., Tang, Q., Zheng, W.: L1-norm-based common spatial patterns. IEEE Trans. Neural Syst. Rehabil. Eng. 59(3), 653–662 (2012)

    Google Scholar 

  5. Wang, H., Li, X.: Regularized filters for L1-Norm-Based common spatial patterns. IEEE Trans. Neural Syst. Rehabil. Eng. 24(2), 201–211 (2016)

    Article  Google Scholar 

  6. Li, X., Lu, X., Wang, H.: Robust common spatial patterns with sparsity. Biomed. Signal Process. Control 26, 52–57 (2016). Elsevier

    Article  Google Scholar 

  7. Wang, J.: Generalized 2-D principal component analysis by Lp-norm for image analysis. IEEE Trans. Cybern. 46(3), 792–803 (2015)

    Article  Google Scholar 

  8. Blankertz, B., Tomioka, R., Lemm, S., et al.: Optimizing spatial filters for robust EEG single-trial analysis. IEEE Signal Process. Mag. 25(1), 41–56 (2008)

    Article  Google Scholar 

  9. Hunter, D., Lange, K.: A tutorial on MM algorithms. Am. Stat. 58(1), 30–37 (2004)

    Article  MathSciNet  Google Scholar 

  10. Vidaurre, C., Blankertz, B.: Towards a cure for BCI illiteracy. Brain Topogr. 23(2), 194–198 (2010)

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported in part by the National Basic Research Program of China under Grant 2015CB351704, the Key Research and Development Plan (Industry Foresight and Common Key Technology) - Key Project of Jiangsu Province under Grant BE2017007-3, and the National Natural Science Foundation of China under Grants 61773114 and 61375118.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haixian Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Fang, N., Wang, H. (2017). Generalization of Local Temporal Correlation Common Spatial Patterns Using Lp-norm (0 < p < 2). In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10637. Springer, Cham. https://doi.org/10.1007/978-3-319-70093-9_82

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-70093-9_82

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70092-2

  • Online ISBN: 978-3-319-70093-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics