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Continuous Time Particle Filtering for fMRI
Lawrence Murray and Amos Storkey
Continuous Time Particle Filtering for fMRI
Volume Advances in Neural Information Processing Systems 20,
2008.
AbstractWe construct a biologically motivated stochastic differential model of the neu-
ral and hemodynamic activity underlying the observed Blood Oxygen Level De-
pendent (BOLD) signal in Functional Magnetic Resonance Imaging (fMRI). The
model poses a dif?cult parameter estimation problem, both theoretically due to the
nonlinearity and divergence of the differential system, and computationally due to
its time and space complexity. We adapt a particle ?lter and smoother to the task,
and discuss some of the practical approaches used to tackle the dif?culties, includ-
ing use of sparse matrices and parallelisation. Results demonstrate the tractability
of the approach in its application to an effective connectivity study. [Edit]
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