A fMRI data analysis method using a fast infomax-based ICA algorithm

Independent component analysis (ICA) is a new technique in signal processing to extract statistically independent components from the observed multidimensional mixture of data. In this field, many algorithms have been proposed. An infomax-based fast algorithm for ICA is proposed, using information maximum likelihood estimation with the Newton iterative algorithm. The algorithm is second-order convergent. We specifically applied the algorithm to functional magnetic resonance imaging (fMRI) data, and the result is positive. These results lend validity to the proposed method as providing a reasonable physiological explanation for the fMRI data.

[1]  D. J. Bell,et al.  Numerical Methods for Unconstrained Optimization , 1979 .

[2]  R. Malach,et al.  Object-related activity revealed by functional magnetic resonance imaging in human occipital cortex. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[3]  S Makeig,et al.  Spatially independent activity patterns in functional MRI data during the stroop color-naming task. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[4]  Terrence J. Sejnowski,et al.  Independent Component Analysis Using an Extended Infomax Algorithm for Mixed Subgaussian and Supergaussian Sources , 1999, Neural Computation.

[5]  B. Rosen,et al.  Functional mapping of the human visual cortex by magnetic resonance imaging. , 1991, Science.

[6]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[7]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[8]  Yao Dezhong,et al.  High-resolution EEG mappings: a spherical harmonic spectra theory and simulation results , 2000, Clinical Neurophysiology.

[9]  W. Murray Numerical Methods for Unconstrained Optimization , 1975 .

[10]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

[11]  D. Obradovic,et al.  Information Maximization and Independent Component Analysis: Is There a Difference? , 1998, Neural Computation.

[12]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.