affineScalingFun: Scaling function (affine case)

Description Usage Arguments Value References See Also

Description

Parametric transformation of the input space variables. The transformation is obtained coordinatewise by integrating piecewise affine marginal "densities" parametrized by a vector of knots and a matrix of density values at the knots. See references for more detail.

Usage

1

Arguments

X

an n*d matrix standing for a design of n experiments in d-dimensional space

knots

a (K+1) vector of knots parametrizing the transformation. The knots are here the same in all dimensions.

eta

a d*(K+1) matrix of coefficients parametrizing the d marginal transformations. Each line stands for a set of (K+1) marginal density values at the knots defined above.

Value

The image of X by a scaling transformation of parameters knots and eta

References

Y. Xiong, W. Chen, D. Apley, and X. Ding (2007), Int. J. Numer. Meth. Engng, A non-stationary covariance-based Kriging method for metamodelling in engineering design.

See Also

scalingFun



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