Title
Estimating Effective Connectivity from fMRI Data Using Factor-based Subspace Autoregressive Models
Abstract
We consider the problem of identifying large-scale effective connectivity of brain networks from fMRI data. Standard vector autoregressive (VAR) models fail to estimate reliably networks with large number of nodes. We propose a new method based on factor modeling for reliable and efficient high-dimensional VAR analysis of large networks. We develop a subspace VAR (SVAR) model from a factor model (FM), where observations are driven by a lower-dimensional subspace of common latent factors with an AR dynamics. We consider two variants of principal components (PC) methods that provide consistent estimates for the FM hence the implied SVAR model, even of large dimensions. Information criterion is used to select the optimal subspace dimension. We established asymptotic normality and convergence rates for the estimated SVAR coefficients matrix. Evaluation on simulated resting-state fMRI shows that the SVAR models are more robust and produce better connectivity estimates than the classical model for a moderately-large network analysis. Results on real data by varying the subspace dimensions identify strong connections in the default mode network and reveal hierarchical connectivity of resting-state networks with distinct functional relevance.
Year
DOI
Venue
2015
10.1109/LSP.2014.2365634
IEEE Signal Process. Lett.
Keywords
Field
DocType
factor-based subspace autoregressive model,factor model,fmri data,svar coefficient matrix estimation,asymptotic normality,default mode network,fm,brain effective connectivity,matrix algebra,pc method,effective connectivity estimation,moderately-large network analysis,resting-state network,autoregressive processes,biomedical mri,principal component method,fmri,vector autoregressive model,brain,optimal subspace dimension,information criterion,principal component analysis,brain network,vectors,svar model,subspace vector autoregressive model,reactive power,frequency modulation,estimation,reliability
Convergence (routing),Autoregressive model,Default mode network,Pattern recognition,Subspace topology,Matrix (mathematics),Artificial intelligence,Network analysis,Principal component analysis,Mathematics,Asymptotic distribution
Journal
Volume
Issue
ISSN
22
6
1070-9908
Citations 
PageRank 
References 
5
0.42
12
Authors
4
Name
Order
Citations
PageRank
Chee-Ming Ting17213.17
Abd-Krim Seghouane219324.99
Sheikh Hussain Salleh3375.62
A. B. Mohd Noor450.42