ISM Research Memorandum
No.
1018
Title:
Akaike Causality in State Space
Part I - Instantaneous Causality Between Visual
Cortex in fMRI Time Series
Author(s):
Wong, Kin Foon Kevin (The Institute of Statistical mathematics);
Ozaki, Tohru (The Institute of Statistical mathematics)
Key words:
Akaike causality; noise contribution ratio; state space model; common source;
partial causality; functional MRI; primary visual cortex; middle temporal
cortex; posterior parietal cortex.
Abstract:
We present a new approach of explaining partial causality in multivariate
fMRI time series by a state space model. A given single time series can
be divided into two noise-driven processes, which comprising a homogeneous
process shared among multivariate time series and a particular process
refining the homogeneous process. Causality map is drawn using Akaike noise
contribution ratio theory, by assuming that noises are independent. The
method is illustrated by an application to fMRI data recorded under visual
stimulus.