The bottom panels show the correlation values for a pair of directly connected neurons in a hypercube graph (in this network, the correlation value depends only on the distance between two vertices, i.e. the number of edges in a shortest path connecting them, which can range between the value of 1 which corresponds to directly connected vertices, and the maximal value of log2 N).
The latter correlations connecting the EQ-5D domains with the FACT-Ga subscales were summarized in the lower-left square of the MTMM matrix called Heteromethod Block.
It was the thread that connected them.
Since GcFlasso uses only the information on the presence or absence of edges, when edges of weak correlation connect nodes across two true subgraphs, GcFlasso is unable to ignore the weak edges and fuses the effect of SNPs on the phenotypes across those two subgraphs.
In the resulting GGM with 3,742 edges (significant partial correlations) connecting each of 1,907 metabolites with at least one other metabolite, we only kept the 546 metabolites nominally associated (p < 0.05) with diabetes and removed all other metabolites with their edges.
Quantum mechanics introduces a bunch of new phenomena that seem strange wave nature for material particles, particle nature for light waves, entanglement correlations connecting particles over arbitrary distances but one of the most unusual has a rather innocuous name: "spin". This is an intrinsic angular momentum associated with fundamental particles, as if they were tiny spinning balls.
Each coexpressed gene pair has either a positive connectivity or a negative connectivity based on the sign of the correlation coefficient that connects the two genes.
Edges were weighted by taking the absolute value of the correlation coefficients that connect coexpressed pairs of genes.
Using an equation connecting the correlation and memory functions enables one to reveal the microscopic structure, which can be expressed in terms of the Markov chain conditional probability function.
We observed that high average gene-to-gene signal strength monotonically increased the correlations between directly connected genes and also those between indirectly connected genes.
