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To allow for a fair performance assessment, all programs except CLUSS were provided with an identical pair-wise protein sequence similarity matrix for clustering.

However, some algorithms in ClusterMaker, such as kmeans or hierarchical, require the network to have numerical attributes to compute a distance matrix for clustering.

After we extracted the coupling profiles of these perturbations to compose a new matrix for clustering (see Supporting Information Figure S7), we found a stable and self-consistent cluster of 10 positions, as shown in the Figure 4A.

Data were then included in the microarray data matrix for clustering analysis (see next paragraph).

In Sections 2.1 and 2.2, two different methods are investigated to integrate a single Laplacian matrix with a single kernel matrix for clustering, where the main difference is to either optimize the cluster assignment affinity matrix A as a generalized Rayleigh quotient (ratio model) or as a Rayleigh quotient (additive model).

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Bags for each website were then compared to create pairwise distance matrices for clustering.

We assume the reasons of the occurrence of the non-zero diagonal values are similar to the reasons for the non-symmetricity of the matrix: the starting position, the rigidity of reference conformer, etc. Further, to make the non-symmetric matrix symmetric, we applied matrix transformations for clustering.

The resulting matrix was used for clustering the sequences with TRIBE-MCL with an inflation parameter value of 1.75 [ 28].

Risk ratios derived using generalized estimating equations with log link and exchangeable working correlation matrix to account for clustering owing to inclusion of mothers with multiple deliveries in the cohort.

For each pair of profiles, the quadratic distance over the twenty amino acid frequencies was calculated to compute a distance matrix as an input for clustering using UPGMA as implemented in NEIGHBOR [ 69].

The eigenvector of the adjacency matrix is extracted from its Laplace matrix and is subsequently used for clustering.

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