Illustration of sparsity of matrix P obtained with NMF.

Plot of sorted coefficients of matrix P, obtained using LR-MVRC, CORR and PCORR matrices with different values of K in NMF.</p

Overlapping communities derived from CORR.

This figure displays the communities derived using CORR based matrix via thresholding of matrix P obtained with NMF (K = 8).</p

Non overlapping communities derived from LR-MVRC.

This figure displays the communities derived using LR-MVRC based matrix via modularity optimization. Ten communities derived by LR-MVRC shown in this figure refer to motor (C1), visual (C2), default mode and cognitive control (C3), default mode (C4), subcortical (C5), bilateral limbic (C6), default mode and bilateral limbic (C7), cognitive control (C8), subcortical (C9) and auditory networks.</p

Brain networks identified using LR-MVRC with <i>K</i> = 15 in NMF.

Fourth column represent AAL atlas ROI indices belonging to the community K, whereas second and third columns represent their corresponding associated brain networks and number of ROIs in one community, respectively.</p

Brain networks identified using LR-MVRC with <i>K</i> = 8 in NMF.

Fourth column represent AAL atlas ROI indices belonging to the community K, whereas second and third columns represent the associated brain networks and number of ROIs in that community, respectively.</p

Low rank and sparsity constrained method for identifying overlapping functional brain networks - Fig 1

First row: Community structure obtained using LR-MVRC and CORR matrices with NMF and modularity optimization methods. Second row: Community structure obtained using ICA with K = 8 and 15 in the first and second columns, respectively. In the first row, first two columns represent the matrix P obtained from LR-MVRC and CORR with K = 8 and 15 in NMF, respectively. The third column represents modularity optimization results on both LR-MVRC and CORR based adjacency matrices.</p

Overlapping communities derived from LR-MVRC.

This figure displays the communities derived from the LR-MVRC based adjacency matrix via thresholding of matrix P obtained with NMF (K = 8). Eight communities derived from LR-MVRC matrix shown in this figure refer to default mode and subcortical (C1), visual (C2), bilateral limbic (C3), cognitive control and default mode (C4), default mode and visual (C5), auditory and motor (C6), subcortical (C7), and default mode and bilateral limbic (C8) networks.</p