The regression problem Friedman 1 as described in Friedman (1991) and Breiman (1996). Inputs are 10 independent variables uniformly distributed on the interval \([0,1]\), only 5 out of these 10 are actually used. Outputs are created according to the formula $$y = 10 \sin(\pi x1 x2) + 20 (x3 - 0.5)^2 + 10 x4 + 5 x5 + e$$
where e is N(0,sd).
mlbench.friedman1(n, sd=1)Returns a list with components
input values (independent variables)
output values (dependent variable)
number of patterns to create
Standard deviation of noise
Breiman, Leo (1996) Bagging predictors. Machine Learning 24, pages 123-140.
Friedman, Jerome H. (1991) Multivariate adaptive regression splines. The Annals of Statistics 19 (1), pages 1-67.