An Extension of the Canonical Correlation Analysis to the Case of Multiple Observations of Two Groups of Variables

Ronald Phlypo (1) , Marco Congedo (1)

1 GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing

In this contribution we present a method that extends the Canonical Correlation Analysis for two groups of variables to the case of multiple conditions. Contrary to the extensions in literature based on augmenting the number of variable groups, the addition of conditions allows for a more robust estimate of the canonical correlation structure inherently present in the data. Algorithms to solve the estimation problem are based on joint approximate diagonalization algorithms for matrix sets. Simulations show the performance of the proposed method under two different scenarios: the calculation of a latent canonical structure and the estimation of a bilinear mixture model.

Mots clés: Canonical Correlation Analysis; Joint Diagonalisation; Multivariable Analysis

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Ronald Phlypo, Marco Congedo. An Extension of the Canonical Correlation Analysis to the Case of Multiple Observations of Two Groups of Variables. EMBC 2010 - 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Aug 2010, Buenos Aires, Argentina. ⟨10.1109/IEMBS.2010.5627364⟩. ⟨hal-00495035⟩