Title
Robust extrapolation scheme for fast estimation of 3D ising field partition functions: application to within-subject fMRI data analysis.
Abstract
In this paper, we present a fast numerical scheme to estimate Partition Functions (PF) of 3D Ising fields. Our strategy is applied to the context of the joint detection-estimation of brain activity from functional Magnetic Resonance Imaging (fMRI) data, where the goal is to automatically recover activated regions and estimate region-dependent hemodynamic filters. For any region, a specific binary Markov random field may embody spatial correlation over the hidden states of the voxels by modeling whether they are activated or not. To make this spatial regularization fully adaptive, our approach is first based upon a classical path-sampling method to approximate a small subset of reference PFs corresponding to prespecified regions. Then, the proposed extrapolation method allows us to approximate the PFs associated with the Ising fields defined over the remaining brain regions. In comparison with preexisting approaches, our method is robust to topological inhomogeneities in the definition of the reference regions. As a result, it strongly alleviates the computational burden and makes spatially adaptive regularization of whole brain fMRI datasets feasible.
Year
DOI
Venue
2009
10.1007/978-3-642-04268-3_120
MICCAI
Keywords
Field
DocType
whole brain fmri,within-subject fmri data analysis,remaining brain region,brain activity,classical path-sampling method,spatial regularization,ising field,ising field partition functions,proposed extrapolation method,robust extrapolation scheme,fast estimation,activated region,reference region,spatial correlation,sampling methods,partition function,data analysis
Voxel,Spatial correlation,Partition function (mathematics),Pattern recognition,Markov random field,Computer science,Partition function (statistical mechanics),Extrapolation,Ising model,Regularization (mathematics),Artificial intelligence
Conference
Volume
Issue
ISSN
12
Pt 1
0302-9743
Citations 
PageRank 
References 
7
0.58
4
Authors
4
Name
Order
Citations
PageRank
Laurent Risser124118.63
Thomas Vincent232027.52
Philippe Ciuciu345250.82
Idier, J.456659.01