Sentence examples for applied to the adjacency from inspiring English sources

In this method, a spectral decomposition is applied to the adjacency matrix to derive communities in the form of eigenvectors, which are weighted by the strength of their corresponding eigenvalues.

The diffusion kernel function k β (A ) = e β (A − d e g (A ) ), with deg(A) the degree matrix of A, applied to the adjacency matrix A PIN α will result in the kernel matrix (1) K α, β = k β (A PIN α ) The formulation of diffusion kernels ensures that K α, β = (K α, β ) T and K α, 0 = I.

A soft threshold function (power = 4) was applied to the resulting adjacency matrix based on the criterion of approximate scale-free topology (minimum power for which the scale-free fit coefficient > 0.9).

The FLC output is the modification to be applied to the HOM i,j) per adjacency (expression (2)).

In this case, the adjacency (or similarity) matrix describing the brain graphs can be flattened into a vector representation and any of the well explored similarity or dissimilarity metrics can be applied to the data [ 12].

Thus, we transformed the computed adjacency matrix A into a topological overlap matrix (TOM) and subsequently into a distance matrix, 1− T O M. Then, average linkage hierarchical clustering was applied to the calculated distance matrix.

These comparisons with the original connectivity and random benchmarks were applied to all adjacency matrices reconstructed from individual and combined node features.

This formulation is not fully equivalent to the standard clustering coefficient when applied to a standard adjacency graph.

With respect to the adjacency graph, ρ can be of two types: internal, when ρ is applied to two adjacencies belonging to a single component; and recombination, when ρ is applied to adjacencies belonging to two distinct components.

For example, take the adjacencies d h z e t and d t y ¯ ∘ from genome B. A DCJ applied to these two adjacencies could result into d t e t and d h z y ¯ ∘, in which the label z y ¯ resulted from the accumulation of the labels of the two original adjacencies.

Then adjacency constrained search based on the disparity map is applied to find the optimal matching pairs between the left and right candidate sets.