nonlinear correlation

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Noun1.nonlinear correlation - any correlation in which the rates of change of the variables is not constant
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
correlational statistics, correlation - a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other
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For the calculation of the discharge hydrograph, two hypotheses were tested, one which assumes a linear correlation between the discharge and the water level difference, and the other which assumes a nonlinear correlation.
used the nonlinear correlation coefficient to study functional connectivity between the thalamus and selected cortical regions based on stereo-electroencephalogram (SEEG) recorded from patients with drug-resistant mesial temporal lobe epilepsy and found that, at the end of seizure, the global synchronization index and the thalamic synchronization index negatively correlated with seizure duration, which indicated that the thalamocortical synchronization contributed to seizure termination [9].
In addition, a visualisation technique called hexagonal binning is used to discover the nonlinear correlation between the spatial similarity and temporal similarity values.
It can captures nonlinear correlation and contains the tail information of random variables.
By using the kernel function, the following PCA process is capable to handle nonlinear correlation among data.
MIrExpress is a new database which takes advantage of the information theory, as well as the Pearson linear correlation method, to measure the linear correlation, nonlinear correlation, and their hybrid of cell-specific gene co-expressions in immune cells.
This often results also in nonlinear correlation between the features, especially if the data dimensionality is low.
Some individual subjects addressed include nonlinear correlation of stock and commodity indices in emerging and developed markets, managing fisheries in light of complexity and chaos theory, and measuring nonlinear fluctuations in power plants.
Unit weight has linear correlation with bearing capacity at any degree of angle of friction, cohesive of soil and width and depth of foundation have nonlinear correlation with bearing capacity at any angle of friction(Abdoullah et al., 2009).
This paper introduces a new parametric nonlinear correlation analysis approach, called Windowed Error Reduction Ratio (WERR), which directly measures the correlation between input signals and output signals without producing a full model.
But it is believed that some nonlinear correlation analysis methods could be considered in the next step of related works.