EEG Classification for Hybrid Brain-Computer Interface Using a Tensor Based Multiclass Multimodal Analysis Scheme

Algorithm 1

The nonredundant rank one tensor decomposition algorithm.

Input: –order tensor: , and the given number of components:

Output: rank-one tensor

Initialization:

  for to do

  set as the first principle component on all modes of tensor ;

Method:

    () Repeat

    () for to do

    ()

    () Set as the first principle component of

    () End for

    () Until

    () Calculate the projection coefficient to the th tensor

    ()

    ()

    () for to do

    () Calculate the correlation coefficients between the th tensor and the th tensor on all modes

    () if abs, then reject the th tensor; end if

    () End for

    () End for