Resolution:
## Figure 8.
Fitting polynomial and spline regression models to measure non-linear relationships.
(A-B) A pair of simulated data x,y(black dots) with the black curve illustrating the true expected value E(y) given x, where E(y|x) = cos(x^{2})^{2}. The red curve shows the fit of a polynomial regression model with degree d = 4 . The blue curve shows the fit of a cubic spline regression model with 2 knots.
Fitting indices of the two models are shown at the top. In simulation, polynomial
and cubic spline regression models can properly discover non-linear relations. (C-D) Comparisons of regression models and mutual information based co-expression measures
in the ND data set. Co-expression of probe pairs is measured with polynomial (d =
3)/cubic spline regressions (x-axis) and mutual information A_{MI,UniversalVersion2}(y-axis). The Spearman correlation and p-value of the two measures are shown at the
top. (E-F) Comparisons in the mouse muscle data set. A_{MI,UniversalVersion2 }has a stronger correlation with regression models than with bicor, indicating that
the first two measures can capture certain common non-linear patterns.
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