Skip to main content
. Author manuscript; available in PMC: 2019 Oct 15.
Published in final edited form as: Neuroimage. 2017 Nov 10;180(Pt B):350–369. doi: 10.1016/j.neuroimage.2017.10.067
si(i = 1,2,⋯mj) The i-th sliding window.
|si| The size of si.
Xi(i = 1, 2,⋯mj) Concatenated input matrix for si.
Di = [d1, d2dP], (i = 1, 2,⋯mj) Dictionary.
dq(q = 1,2, ⋯ p) Atom in the dictionary.
αi(i = 1, 2,⋯mj) Coefficient matrix.
GFNj The j-th group-wise functional network.
FNCk,p The p-th functional network component occurring in sk.
TEG = (V, F) Time-evolving graph with vertex set V and edge set E.
ekij
Edge between the vertices GFNi and GFNj in the k-th layer of TEG.
wkij
Weight of the edge ekij.
Fk ∈ ℝN×f (k = 1, 2, ⋯ M) Feature matrix of the k-th layer of TEG.
Gk ∈ ℝN×r (k = 1, 2, ⋯ M) Role membership matrix.
H ∈ ℝr×f Projection matrix from the role space to the feature space.
Qk ∈ ℝN×I Measure matrix.
E ∈ ℝr×I Contribution matrix of the measure index to the roles.
Ni={GNFj|ekijE}
Neighbor vertices of GNFi.
N¯i=V\({GNFi}Ni)
Vertex set that does not contain GNFi and Ni.
‖·‖1 l-1 norm.
‖·‖F F norm.