As one increases the threshold, the network becomes more informative about the partial correlation structure of the system, but partial correlation selection may be affected by statistical uncertainty.
Many of the Boolean networks from the literature are threshold networks [11].
In the successive figures more links are added by reducing the threshold, reaching the complete network in Figure 2. f), where all links are depicted.
These include the long-range interaction networks in protein structure [ 44], the metabolic network of E. coli as defined by atomic mappings [ 45], the KSHV PPI network [ 46], the global network of Avian Influenza outbreaks [ 47], the sequence-based chemoinformatics threshold networks for drug target [ 48], and the network for phenolic secondary metabolism of T. cacao [ 49].
To empirically determine an adequate small-world network threshold and to generate the necessary distribution of measures for classical inferential statistics, samples are generated by thresholding the networks on the group level over a range of thresholds.
Molecular interaction networks explored by IPA tools, with the threshold settings of a maximum 35 nodes per network, revealed a total of 25 networks.
A transition from positive curvature ("meshed" network) to negative curvature ("core concentric" network) is observed by increasing the threshold.
By increasing the value of the threshold we obtain a growing network where the first links to form are the strongest in a semantic sense.
The simplified networks discussed above were also called threshold networks.
By construction, the threshold (0 ≤ κ ≤ 1) regulates the connectivity of a correlation network.
Figure 3 depicts the outage probability of the EPA for the FDJD scheme as a function of the interference threshold I th imposed by the primary network.
