A critique of Tensor Probabilistic Independent Component Analysis: Implications and recommendations for multi-subject fMRI data analysis

被引:25
|
作者
Helwig, Nathaniel E. [1 ,2 ]
Hong, Sungjin [1 ]
机构
[1] Univ Illinois, Dept Psychol, Champaign, IL 61820 USA
[2] Univ Illinois, Dept Stat, Champaign, IL 61820 USA
关键词
Tensor Probabilistic Independent; Component Analysis; Tensor PICA; PICA; Neuroimage data analysis; Parallel Factor Analysis; Parafac; PARALLEL FACTOR-ANALYSIS; STATISTICAL VARIABLES; PRINCIPAL COMPONENTS; CANDECOMP/PARAFAC; ALGORITHMS; MODELS; DECOMPOSITION; UNIQUENESS; NETWORKS; COMPLEX;
D O I
10.1016/j.jneumeth.2012.12.009
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
Tensor Probabilistic Independent Component Analysis (TPICA) is a popular tool for analyzing multi-subject fMRI data (voxels x time x subjects) because of TPICA's supposed robustness. In this paper, we show that TPICA is not as robust as its authors claim. Specifically, we discuss why TPICA's overall objective is questionable, and we present some flaws related to the iterative nature of the TPICA algorithm. To demonstrate the relevance of these issues, we present a simulation study that compares TPICA versus Parallel Factor Analysis (Parafac) for analyzing simulated multi-subject fMRI data. Our simulation results demonstrate that TPICA produces a systematic bias that increases with the spatial correlation between the true components, and that the quality of the TPICA solution depends on the chosen ICA algorithm and iteration scheme. Thus, TPICA is not robust to small-to-moderate deviations from the model's spatial independence assumption. In contrast, Parafac produces unbiased estimates regardless of the spatial correlation between the true components, and Parafac with orthogonality-constrained voxel maps produces smaller biases than TPICA when the true voxel maps are moderately correlated. As a result, Parafac should be preferred for the analysis multi-subject fMRI data where the underlying components may have spatially overlapping voxel activation patterns. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:263 / 273
页数:11
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