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Single-Trial EEG Classification via Common Spatial Patterns with Mixed Lp- and Lq-Norms

Author

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  • Qian Cai
  • Weiqiang Gong
  • Yue Deng
  • Haixian Wang

Abstract

As a multichannel spatial filtering technique, common spatial patterns (CSP) have been successfully applied in brain-computer interfaces (BCI) community based on electroencephalogram (EEG). However, it is sensitive to outliers because of the employment of the L2-norm in its formulation. It is beneficial to perform robust modelling for CSP. In this paper, we propose a robust framework, called CSP-Lp/q, by formulating the variances of two EEG classes with Lp- and Lq-norms ( ) separately. The method CSP-Lp/q with mixed Lp- and Lq-norms takes the class-wise difference into account in formulating the sample dispersion. We develop an iterative algorithm to optimize the objective function of CSP-Lp/q and show its monotonity theoretically. The superiority of the proposed CSP-Lp/q technique is experimentally demonstrated on three real EEG datasets of BCI competitions.

Suggested Citation

  • Qian Cai & Weiqiang Gong & Yue Deng & Haixian Wang, 2021. "Single-Trial EEG Classification via Common Spatial Patterns with Mixed Lp- and Lq-Norms," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, June.
  • Handle: RePEc:hin:jnlmpe:6645322
    DOI: 10.1155/2021/6645322
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