Classification of covariance matrices using a Riemannian-based kernel for BCI applications

  • Barachant A
  • Bonnet S
  • Congedo M
 et al. 
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Abstract

The use of spatial covariance matrix as a feature is investigated for motor imagery EEG-based classification in brain-computer interface applications. A new kernel is derived by establishing a connection with the Riemannian geometry of symmetric positive definite matrices. Different kernels are tested, in combination with support vector machines, on a past BCI competition dataset. We demonstrate that this new approach outperforms significantly state of the art results, effectively replacing the traditional spatial filtering approach. © 2013 Elsevier B.V.

Author-supplied keywords

  • Brain-computer interfaces
  • Covariance matrix
  • Kernel
  • Riemannian geometry
  • Support vector machine

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Authors

  • Alexandre Barachant

  • Stéphane Bonnet

  • Marco Congedo

  • Christian Jutten

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