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The first method is the wavelet local correlation coefficient (WLCC), which detects the phase correlation.
(i) The first method is the Wavelet local correlation coefficient (WLCC), proposed by [18] and defined as (3).
Details are only injected if the local correlation coefficient between those images, calculated on a window of size N × N, is larger than a given threshold.
This corresponds to areas with a strong local correlation coefficient between health and socioeconomic indicators.
Figure 5 shows the scatter plots a) between IC GWPCA and IC b) IC GWPCA and local correlation coefficient HI and SI, and c) Map of the local correlation coefficient between HI = lip and SI estimated by GWR [ 22].
These areas correspond to IRIS with strong local correlation coefficient between HI and SI identified by GWR (Fig. 5c).
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In the presented method, the complexity in calculating local correlation coefficients is reduced via equivalent reformulation that leads to efficient array operations or enables the use of multi-dimensional fast Fourier transforms, without losing or sacrificing local and non-linear changes or characteristics.
We extend the convolution-based local normalised correlation coefficient (LNCC) method by Cachier et al.[ 23] to irregular regions-of-interest (ROI) (see Appendix A).
Briefly, quality scores Q(L i k ) at fragment lengths L i k in electropherogram P k (k = {1,..., m}) are estimated by a windowing calculation of local average correlation coefficients between P k and the other electropherograms (for details, see [ 12]).
However, correlation analysis of residuals revealed extensive local response dependency (correlation coefficient >0.3) and also substantial negative correlation coefficient indicating multidimensionality.
Our method follows a probabilistic approach applied to the results of fitting protein domains into maps of proteins and the computation of local cross-correlation coefficient measures.
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