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Ishigami-Homma function evaluation

Source: R/test_functions.R
ishi_homma_fun.Rd

Evaluates the Ishigami-Homma function. Input samples are drawn from a uniform distribution over \([-\pi, \pi]^3\)

Usage

ishi_homma_fun(N, A = 2, B = 1)

Arguments

N

Number of input samples to generate.

A

(default: 2) Numeric, amplitude of the second sine component .

B

(default: 1) Numeric, coefficient of the interaction term.

Value

A list with two elements:

  • x: a numeric matrix of size N x 8 containing the input samples.

  • y: a numeric vector of length N with the corresponding function outputs.

Details

The Ishigami-Homma function is defined as: $$Y = \sin(X_1) + A \cdot \sin^2(X_2) + B \cdot X_3^4 \cdot \sin(X_1)$$ where \(X_i \sim \mathcal{U}(-\pi, \pi)\).

See also

sobol_fun, gaussian_fun

Examples

result <- ishi_homma_fun(1000)
head(result$x)
#>               X1         X2          X3
#> [1,] -2.28423759 -0.9399756  0.33191817
#> [2,] -0.09561026 -0.3103324  2.08030330
#> [3,] -2.28376501  0.7043859  2.89825661
#> [4,] -2.22049303  2.2053860 -1.09533096
#> [5,]  2.22482608  2.8740950 -0.02519212
#> [6,] -2.77463554  2.8473635  0.09935267
head(result$y)
#> [1]   0.5389623  -1.6968814 -53.2895980  -0.6453498   0.9333679  -0.1906092