Description Usage Arguments Details Value Examples
MGRAF3
returns the estimated common structure Z and Q that are
shared by all the subjects as well as the subject-specific low rank
matrix Λ_i for multiple undirected graphs.
1 |
A |
Binary array with size VxVxn storing the VxV symmetric adjacency matrices of n graphs. |
K |
An integer that specifies the latent dimension of the graphs |
tol |
A numeric scalar that specifies the convergence threshold of CISE algorithm. CISE iteration continues until the absolute percent change in joint log-likelihood is smaller than this value. Default is tol = 0.01. |
maxit |
An integer that specifies the maximum number of iterations. Default is maxit = 5. |
The subject-specific deviation D_i is decomposed into
D_i = Q * Λ_i * Q^{\top},
where Q is a VxK orthonormal matrix and each Λ_i is a KxK diagonal matrix.
A list is returned containing the ingredients below from M-GRAF3 model corresponding to the largest log-likelihood over iterations.
Z |
A numeric vector containing the lower triangular entries in the estimated matrix Z. |
Lambda |
Kxn matrix where each column stores the diagonal entries in Λ_i. |
Q |
VxK orthonormal matrix |
LL_max |
Maximum log-likelihood across iterations. |
LL |
Joint log-likelihood at each iteration. |
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