We evaluate the power of detection and matching (a measure of overlap between the real and detected partitions) for each set of 1000 Monte Carlo replications.
Among the detected partitions, for each network we will select the single partition that corresponds to the highest value of modularity; this partition will be referred below as the optimal partition for each network.
The Asymmetric Wallace index can also be defined the other way around (A W B, A ), but in this case this is not considered, because detected partitions are systematically more divisive than the functional one, i.e. we are interested in seeing how detected partitions are embedded in the functional one.
Motivated by the state-of-the-art general mesh segmentation methods that adopted the theory of harmonic field to detect partition boundaries, this paper proposes a novel, dental-targeted segmentation framework for dental meshes.
Furthermore, sixfold more of genetic variation we detected is partitioned between individuals (72%) compared to within individuals (12%).
Then, given two partitions P and Q of the same network (for instance a detected network partition and the arXiv classification), an initial comparison between them has been performed using an information-based symmetrically normalized mutual information: I_{mathrm{N}}(P,Q) = frac{2I(P,Q)}{H(P +H(Q)}.
The presence of activated time series can be detected by partitioning the time series in this low dimensional space.
In [35], Ahn et al. show how overlapping communities can be detected by partitioning edges rather than nodes, and illustrated their methods with a mobile phone dataset.
The role of nutrient stress in forest decline was detected by partitioning the season into three periods reflecting different phenological stages: a canopy growth period in spring, a stem growth period in summer, and a recharge period during the non-growing season.
In both lakes, we detected substrate partitioning between AcI Actinobacteria, which was overrepresented in glucose and acetate utilization, and R-BT Betaproteobacteria, which dominated amino acid uptake.
Using atom probe tomography, we detect strong partitioning of W (partitioning coefficients from 2.4 to 3.4) and only slight partitioning of Al (partitioning coefficients ⩽1.1) to the γ′-Co3(Al, W) phase.
