com.imsl.test.example.math

Class RadialBasisEx1

java.lang.Object

com.imsl.test.example.math.RadialBasisEx1

public class RadialBasisEx1
extends Object

RadialBasis Example 1: Approximates a function with a Hardy multiquadric radial basis function.

Data is generated from the function $$e^{-\|\vec{x}\|^2/d}$$ where d is the dimension, is evaluated at a set of randomly chosen points. Random noise is added to the values and a radial basis approximation to the noisy data is computed. The radial basis fit, using the default radial basis function Hardy multiquadric with \(\delta=1\), is then compared to the original function at another set of randomly chosen points. Both the average error and the maximum error are computed and printed.

In this example, the dimension d=10. The function is sampled at 200 random points, in the \([-1,1]^d\) hyper-cube, to which what noise in the range [-0.2,0.2] is added. The error is computed at 1000 random points, also from the \([-1,1]^d\) hyper-cube. The compute errors are less than the added noise.

See Also:

Code, Output

Constructor Summary

Constructors

Constructor and Description
RadialBasisEx1()

Method Summary

Modifier and Type	Method and Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

RadialBasisEx1

public RadialBasisEx1()

Method Detail

main

public static void main(String[] args)