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Consequently, S2GCA can find the directions which make not only maximal correlation between the paired data but also maximal separability of the labeled data.
The maximal correlation between different normalized frame vectors, also known as mutual coherence, is defined as μ(F)= max1≤k,ℓ≤Nk≠ℓ|〈f k,f ℓ 〉|.
Mutual coherence measures the maximal correlation between both matrix elements and plays an important role in the success of reconstruction algorithm.
The CCI mitigation, arising from the correlation of spatially multiplexed users sharing common resources, is achieved efficiently with the use of a parameter ρmax, which defines a maximal correlation between any pair of spatially multiplexed users.
The same regularity has been obtained (Fig. 4) while separating the expanded substorms according to their intensity: maximal correlation between PC and E KL was observed at ΔT = 12 20 min irrespective of the substorm onset magnitude.
The lack of maximal correlation between breast and lung cell lines with their respective tumors can probably be ascribed to their heterogeneous gene expression patterns, already pointed out by previous clustering analysis, in this case performed at the whole-genome level [8].
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Furthermore, canonical correlation analysis (CCA) has been suggested to identify general linear associations between CN and GE data through flexible detection of weighted combinations of probes, which reveal maximal correlations between the two data sources.
The highest correlation coefficients (0.20 < r < 0.30, p < 0.0001) were observed between global health and almost all OUT-PATSAT35 scales (the maximal correlation was between global health and the doctors' technical skills), between emotional functioning and nurse or radiation therapist availability, and doctor's provision of information scales.
Data from Affymetrix and Illumina arrays were also highly concordant with minimal and maximal correlation values ranging between 0.795 and 0.889, respectively.
As default setting, the networks are constructed from an equidistant (after Fisher-transformation) series of 100 correlation thresholds between 0 and the maximal correlation in the data set.
To directly contrast the strength of this relationship between the two real stimulation conditions we compared the correlation coefficients from the voxel showing maximal correlation in each case.
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