Virtual Library of Simulation Experiments:

Test Functions and Datasets

Lim et al. (2002) Polynomial Function


Description:

Dimensions: 2

This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer experiment functions (Lim et al., 2002).

Input Domain:

The function is evaluated on the square xi ∈ [0, 1], for all i = 1, 2.

Code:


Reference:

Lim, Y. B., Sacks, J., Studden, W. J., & Welch, W. J. (2002). Design and analysis of computer experiments when the output is highly correlated over the input space. Canadian Journal of Statistics, 30(1), 109-126.


For questions or comments, please email Derek Bingham at: dbingham@stat.sfu.ca.



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