com.imsl.test.example.math

Class RadialBasisEx4

java.lang.Object

com.imsl.test.example.math.RadialBasisEx4

public class RadialBasisEx4
extends Object

Approximates a function with a Gaussian radial basis function.

Data is generated from the function $$\exp(\frac{y}{2.0}\sin{x})\cos(\frac{y}{2.0})$$ where a number of (x,y) pairs make up a set of randomly chosen points. Random noise is added to the values, a Gaussian radial basis function \(e^{-ax^2}\) is specified, and a radial basis approximation of the noisy data is computed. The radial basis fit is then compared to the original function at another set of randomly chosen points. Both the average normalized error and the maximum normalized error are computed and printed.

In this example, the parameter of the Gaussian radial basis function \(a = 0.1\). The function is sampled at \(100\) random points and the error is computed at \)10000\) random points.

See Also:

Code, Output

Constructor Summary

Constructors

Constructor and Description
RadialBasisEx4()

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

RadialBasisEx4

public RadialBasisEx4()

Method Detail

main

public static void main(String[] args)