Table 1 Algorithm 1

Input: X;

Output:

matrix A and communities of the GRN;

Step 0.

(Initiation) W : = 0 ∈ ℝ^{n × n}. Select μ > 0, γ _τ > 0, λ₁∈ (0, λ₂).

Step 1.

(N-step: identify possible N etworks) Solve (8) to find an approximate matrix A.

Step 2.

(C-step: estimate C ommunity structure) Calculate weighted matrix W 1 by Eq. (13), then solve the proposed block PCA model (12) to calculate L*.

Step 3.

(Update weight matrix) Update W by Eq. (9). If stop criteria are not satisfied, go to Step 1.

Step 4.

(GRN identification) Identify the communities of the computed GRN by SSVD.