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We would finally like to point out that the design of strategies for comparison of clustering / module discovery methods which yield overlapping outputs is an active area of research (e.g. [23]).
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Due to the very poor resolution (∼17 Å), an attempt was made to improve this by only using the 58 images with a defocus less than 3.0 μ, which yielded 15,624 overlapping boxes.
In contrast, for the same data sets, the PCA method tends to produce larger size clusters, at times even overlapping, which yield similar probability scores for all test data points; here it is likely that total sum of probabilities is more than one, therefore of multiplicative normalization would yield class assignment similar to the other multivariate methods (MGD, MDA, ANN).
Since it is possible that some of these reflect methylation changes due to treatment and since a risk CpG should also be diagnostic, we deconvoluted the effect of treatment by finding the overlap between the 84 CpGs and the 2714 CA-CpGs (unaffected by treatment), which yielded an overlap of 18 "cancer-predisposition" risk CpGs (Fisher test P = 0.003, Figure S6b, Table S5).
These findings were extended by a more detailed analysis of recombinant inbred line (RIL) and near isogenic line (NILs) populations in Arabidopsis that revealed a couple of hot spots in which yield quantitative trait loci (QTL) overlapped with a large number of metabolite accumulation QTL [27].
The present paper provides numerical and heuristic tests which yield convincing proof of the applicability of the overlapping resonances concept.
Given that Reflexivity is necessary, such locations must overlap, which yields a violation of No Interpenetration.
The subsequent results on yeast and human dataset can generally be interpreted as the difference of having less, but usually larger, non-overlapping modules (competitors) in contrast to our approach which yields more, but smaller and overlapping modules.
NetworkBlast has been used to perform three-way comparisons of yeast, worm and fly which yielded conserved modules displaying good overlap with MIPS (Mewes et al., 2004) complexes.
However by using local maxima based hill determination methods, it yields overlapping modules over any community landscape.
The three different methods yielded overlapping complementary results.
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