Paper Info
Title
Lattice independent component analysis for functional magnetic resonance imaging
Abstract
We introduce a lattice independent component analysis (LICA) unsupervised scheme to functional magnetic resonance imaging (fMRI) data analysis. LICA is a non-linear alternative to independent component analysis (ICA), such that ICA's statistical independent sources correspond to LICA's lattice independent sources. In this paper, LICA uses an incremental lattice source induction algorithm (ILSIA) to induce the lattice independent sources from the input dataset. The ILSIA computes a set of Strongly Lattice Independent vectors using properties of lattice associative memories regarding Lattice Independence and Chebyshev best approximation. The lattice independent sources constitute a set of Affine Independent vectors that define a simplex covering the input data. LICA carries out data linear unmixing based on the lattice independent sources basis. Therefore, LICA is a hybrid combination of a non-linear lattice based component and a linear unmixing component. The principal advantage over ICA is that LICA does not impose any probabilistic model assumptions on the data sources. We compare LICA with ICA in two case studies. Firstly, including simulated fMRI data, LICA discovers the spatial location of meaningful sources with less ambiguity than ICA. Secondly, including real data from an auditory stimulation experiment, LICA improves over some state of the art ICA variants discovering the activation patterns detected by Statistical Parametric Mapping (SPM) on the same data.
Year
DOI
Venue
2011
10.1016/j.ins.2010.09.023
Inf. Sci.
Keywords
Field
DocType
data linear unmixing,data analysis,lattice independent component analysis,independent component analysis,non-linear lattice,incremental lattice source induction,lattice associative memory,functional magnetic resonance imaging,lattice independent sources basis,lattice independent source,data source,associative memory,statistical independence,probabilistic model
Affine transformation,Associative property,Pattern recognition,Lattice (order),Simplex,Statistical parametric mapping,Independent component analysis,Artificial intelligence,Statistical model,Chebyshev filter,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
181
10
0020-0255
Citations 
PageRank 
References 
30
0.97
18
Authors
4
Name
Order
Citations
PageRank
Manuel Graña11367156.11
Darya Chyzhyk213710.82
Maite García-Sebastián31147.07
Carmen Hernandez4954.91