HedarFukushimaTransform (Apache Commons Math 4.0-beta1)

java.lang.Object
- org.apache.commons.math4.legacy.optim.nonlinear.scalar.noderiv.HedarFukushimaTransform

All Implemented Interfaces:

Simplex.TransformFactory, OptimizationData
```
public class HedarFukushimaTransform
extends Object
implements Simplex.TransformFactory
```
DSSA algorithm. Described in
Abdel-Rahman Hedar and Masao Fukushima (2002), Hybrid simulated annealing and direct search method for nonlinear unconstrained global optimization , Optimization Methods and Software, 17:5, 891-912, DOI: 10.1080/1055678021000030084

A note about the "shrink" factor: Per DSSA's description, the simplex must keep its size during the simulated annealing (SA) phase to avoid premature convergence. This assumes that the best candidates from the SA phase will each subsequently serve as starting point for another optimization to hone in on the local optimum. Values lower than 1 and no subsequent "best list" search correspond to the "SSA" algorithm in the above paper.

Constructor Summary

Constructors
Constructor	Description
`HedarFukushimaTransform()`	Disable shrinking of the simplex (as mandated by DSSA).
`HedarFukushimaTransform(double sigma)`
`HedarFukushimaTransform(double sigma, org.apache.commons.rng.UniformRandomProvider rng)`

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`UnaryOperator<Simplex>`	`create(MultivariateFunction evaluationFunction, Comparator<PointValuePair> comparator, DoublePredicate saAcceptance)`	Creates a simplex transformation.
`String`	`toString()`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - HedarFukushimaTransform
```
public HedarFukushimaTransform(double sigma,
                               org.apache.commons.rng.UniformRandomProvider rng)
```
    Parameters:
    
    sigma - Shrink factor.
    
    rng - Random generator.
    
    Throws:
    
    IllegalArgumentException - if sigma <= 0 or sigma > 1.
  - HedarFukushimaTransform
```
public HedarFukushimaTransform(double sigma)
```
    Parameters:
    
    sigma - Shrink factor.
    
    Throws:
    
    IllegalArgumentException - if sigma <= 0 or sigma > 1.
  - HedarFukushimaTransform
```
public HedarFukushimaTransform()
```
    Disable shrinking of the simplex (as mandated by DSSA).
- Method Detail
  - create
```
public UnaryOperator<Simplex> create(MultivariateFunction evaluationFunction,
                                     Comparator<PointValuePair> comparator,
                                     DoublePredicate saAcceptance)
```
    Creates a simplex transformation.
    
    Specified by:
    
    create in interface Simplex.TransformFactory
    
    Parameters:
    
    evaluationFunction - Evaluation function.
    
    comparator - Vertex fitness comparator.
    
    saAcceptance - Simulated annealing acceptance test.
    
    Returns:
    
    the simplex transform operator.
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object