Test Functions for Sensitivity Analysis

The table below listed the available test functions typically used in the comparison of sensitivity analysis methods.

Name	Spatial Dimension	Constructor
Borehole	8	Borehole()
Bratley et al. (1992) A	M	Bratley1992a()
Bratley et al. (1992) B	M	Bratley1992b()
Bratley et al. (1992) C	M	Bratley1992c()
Bratley et al. (1992) D	M	Bratley1992d()
Damped Oscillator	7	DampedOscillator()
Flood	8	Flood()
Ishigami	3	Ishigami()
OTL Circuit	6 / 20	OTLCircuit()
Piston Simulation	7 / 20	Piston()
Simple Portfolio Model	3	Portfolio3D()
Sobol’-G	M	SobolG()
Sulfur	9	Sulfur()
Welch et al. (1992)	20	Welch1992()
Wing Weight	10	WingWeight()

In a Python terminal, you can list all the available functions relevant for metamodeling applications using list_functions() and filter the results using the tag parameter:

import uqtestfuns as uqtf

uqtf.list_functions(tag="sensitivity")

 No.      Constructor       Dimension   Description
-----  ------------------  -----------  ----------------------------------------------------------------------------
  1        Borehole()           8       Borehole function from Harper and Gupta (1983)
  2      Bratley1992a()         M       Integration test function #1 from Bratley et al. (1992)
  3      Bratley1992b()         M       Integration test function #2 from Bratley et al. (1992)
  4      Bratley1992c()         M       Integration test function #3 from Bratley et al. (1992)
  5      Bratley1992d()         M       Integration test function #4 from Bratley et al. (1992)
  6    DampedOscillator()       8       Damped oscillator model from Igusa and Der Kiureghian (1985)
  7         Flood()             8       Flood model from Iooss and Lemaître (2015)
  8        Ishigami()           3       Ishigami function from Ishigami and Homma (1991)
  9       OTLCircuit()          6       Output transformerless (OTL) circuit model from Ben-Ari and Steinberg (2007)
 10         Piston()            7       Piston simulation model from Ben-Ari and Steinberg (2007)
 11      Portfolio3D()          3       Simple portfolio model from Saltelli et al. (2004)
 12         SobolG()            M       Sobol'-G function from Saltelli and Sobol' (1995)
 13         Sulfur()            9       Sulfur model from Charlson et al. (1992)
 14       Welch1992()          20       20-Dimensional function from Welch et al. (1992)
 15       WingWeight()         10       Wing weight model from Forrester et al. (2008)