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Updated: Feb 19, 2026

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Published on: July 21, 2021
Collective sparse symmetric non-negative matrix factorization for identifying overlapping communities in
Xuan Li1, John Q Gan1, Haixian Wang2
1Key Laboratory of Child Development and Learning Science of Ministry of Education, School of Biological Science & Medical Engineering, Southeast University, Nanjing, Jiangsu 210096, PR China; School of Computer Science and Electronic Engineering, University of Essex, Colchester CO4 3SQ, UK.
This study introduces collective sparse symmetric non-negative matrix factorization (cssNMF) to analyze brain functional networks using resting-state functional MRI (rs-fMRI). The novel method reveals overlapping community structures and individual differences in brain organization.
Area of Science:
- Neuroscience
- Network Science
- Data Science
Background:
- Resting-state functional magnetic resonance imaging (rs-fMRI) is crucial for studying spontaneous brain activity and network organization.
- Existing group-level analyses often overlook overlapping community structures and individual variations in brain networks.
- Recent interest highlights the importance of overlapping community structures in complex networks, including the brain.
Purpose of the Study:
- To develop a novel method for identifying overlapping community structures in brain functional networks.
- To simultaneously account for group-level organization and inter-subject variability in brain networks.
- To enhance the analysis of brain functional networks using rs-fMRI data.
Main Methods:
- Proposed a new method: collective sparse symmetric non-negative matrix factorization (cssNMF).
- Applied cssNMF to identify group-level overlapping communities across subjects.
- Preserved individual variations in brain functional network organization.
- Validated the method using simulated and real rs-fMRI datasets.
Main Results:
- cssNMF accurately and stably identifies group-level overlapping communities.
- The method effectively captures individual differences in brain network organization.
- Results demonstrate neurophysiologically meaningful interpretations.
- Validated performance through comparisons on diverse datasets.
Conclusions:
- cssNMF offers a robust approach to analyzing brain functional networks.
- The method advances understanding of common community structures and individual differences in brain organization.
- This research provides new insights into the complexity of brain functional networks.
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