Benchmark Problem Friedman 3
The regression problem Friedman 3 as described in Friedman (1991) and Breiman (1996). Inputs are 4 independent variables uniformly distrtibuted over the ranges
0 ≤ x1 ≤ 100
40 π ≤ x2 ≤ 560 π
0 ≤ x3 ≤ 1
1 ≤ x4 ≤ 11
The outputs are created according to the formula
y = atan ((x2 x3 - (1/(x2 x4)))/x1) + e
where e is N(0,sd).
mlbench.friedman3(n, sd=0.1)
n |
number of patterns to create |
sd |
Standard deviation of noise. The default value of 0.1 gives a signal to noise ratio (i.e., the ratio of the standard deviations) of 3:1. Thus, the variance of the function itself (without noise) accounts for 90% of the total variance. |
Returns a list with components
x |
input values (independent variables) |
y |
output values (dependent variable) |
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.
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