Cognitive Neurodynamics

, Volume 12, Issue 5, pp 461–470 | Cite as

Examining stability of independent component analysis based on coefficient and component matrices for voxel-based morphometry of structural magnetic resonance imaging

  • Qing Zhang
  • Guoqiang Hu
  • Lili Tian
  • Tapani Ristaniemi
  • Huili Wang
  • Hongjun Chen
  • Jianlin WuEmail author
  • Fengyu CongEmail author
Research Article


Independent component analysis (ICA) on group-level voxel-based morphometry (VBM) produces the coefficient matrix and the component matrix. The former contains variability among multiple subjects for further statistical analysis, and the latter reveals spatial maps common for all subjects. ICA algorithms converge to local optimization points in practice and the mostly applied stability investigation approach examines the stability of the extracted components. We found that the practically stable components do not guarantee to produce the practically stable coefficients of ICA decomposition for the further statistical analysis. Consequently, we proposed a novel approach including two steps: (1), the stability index for the coefficient matrix and the stability index for the component matrix were examined, respectively; (2) the two indices were multiplied to analyze the stability of ICA decomposition. The proposed approach was used to study the sMRI data of Type II diabetes mellitus group and the healthy control group (HC). Group differences in VBM were found in the superior temporal gyrus. Besides, it was revealed that the VBMs of the region of the HC group were significantly correlated with Montreal Cognitive Assessment (MoCA) describing the level of cognitive disorder. In contrast to the widely applied approach to investigating the stability of the extracted components for ICA decomposition, we proposed to examine the stability of ICA decomposition by fusion the stability of both coefficient matrix and the component matrix. Therefore, the proposed approach can examine the stability of ICA decomposition sufficiently.


Diabetes Voxel-based morphometry Independent component analysis Back-projection Montreal cognitive assessment Stability Coefficient matrix Component matrix 



This work was supported by National Natural Science Foundation of China (Grant Nos. 81471742, 81371526) and the Fundamental Research Funds for the Central Universities [DUT16JJ(G)03] in Dalian University of Technology in China. Gratitude goes forward to the Affiliated Zhongshan Hospital of Dalian University for DICOM data collection and Xichu Zhu and Jianrong Li in Dalian University of Technology for language editing.


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of RadiologyAffiliated Zhongshan Hospital of Dalian UniversityDalianChina
  2. 2.Department of Biomedical Engineering, Faculty of Electronic Information and Electrical EngineeringDalian University of TechnologyDalianChina
  3. 3.Department of PsychologyUniversity of JyvaskylaJyvaskylaFinland
  4. 4.Faculty of Information TechnologyUniversity of JyvaskylaJyvaskylaFinland
  5. 5.School of Foreign LanguagesDalian University of TechnologyDalianChina

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