Virtual Library of Simulation Experiments:

Optimization Test Problems

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Shubert Function

Description:

Dimensions: 2

The Shubert function has several local minima and many global minima. The second plot shows the the function on a smaller input domain, to allow for easier viewing.

Input Domain:

The function is usually evaluated on the square x_i ∈ [-10, 10], for all i = 1, 2, although this may be restricted to the square x_i ∈ [-5.12, 5.12], for all i = 1, 2.

Global Minimum:

Code:

Reference:

Global Optimization Test Problems. Retrieved June 2013, from
http://www-optima.amp.i.kyoto-u.ac.jp/member/student/hedar/Hedar_files/TestGO.htm.

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