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 .
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
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.
was found between power of scale and COP sway mean velocity.
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.