Mathematics in Independent Component Analysis

Chapter 6. LNCS 3195:726-733, 2004 121
8 Fabian J. Theis, Anke Meyer-Baese, and Elmar W. Lang
replacing the one-dimensional autocovariances by multi-dimensional autocovariances.
In both simulations and real-world applications mdSOBI outperforms
SOBI for these multidimensional structures.
In future work, we will show how to perform spatiotemporal BSS by jointly
diagonalizing both spatial and time autocovariance matrices. We plan on applying
these results to fMRI analysis, where we also want to use three-dimensional
autocovariances for 3d-scans of the whole brain.
Acknowledgements
The authors would like to thank Dr. Dorothee Auer from the Max Planck Institute
of Psychiatry in Munich, Germany, for providing the fMRI data, and Oliver
Lange from the Department of Clinical Radiology, Ludwig-Maximilian University,
Munich, Germany, for data preprocessing and visualization. FT and EL
acknowledge partial financial support by the BMBF in the project ’ModKog’.
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