OneVariableFunctionFitterM Class

Class OneVariableFunctionFitter fits a parameterized one variable function to a set of points.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreOneVariableFunctionFitterM
CenterSpace.NMath.CoreBoundedOneVariableFunctionFitterM

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

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public class OneVariableFunctionFitter<M> : ICloneable
where M : new(), INonlinearLeastSqMinimizer

Public Class OneVariableFunctionFitter(Of M As {New, INonlinearLeastSqMinimizer})
	Implements ICloneable

generic<typename M>
where M : gcnew(), INonlinearLeastSqMinimizer
public ref class OneVariableFunctionFitter : ICloneable

type OneVariableFunctionFitter<'M when 'M : new() and INonlinearLeastSqMinimizer> = 
    class
        interface ICloneable
    end

Type Parameters

M: [Missing <typeparam name="M"/> documentation for "T:CenterSpace.NMath.Core.OneVariableFunctionFitter`1"]

The OneVariableFunctionFitterM type exposes the following members.

Constructors

	Name	Description
	OneVariableFunctionFitterM(Boolean)	For internal use only.
	OneVariableFunctionFitterM(DoubleParameterizedFunction)	Constructs a OneVariableFunctionFitter instance with the given parameterized function.
	OneVariableFunctionFitterM(FuncDoubleVector, Double, Double)	Constructs a OneVariableFunctionFitter instance with the given parameterized function delegate.
	OneVariableFunctionFitterM(DoubleParameterizedFunction, M)	Constructs a OneVariableFunctionFitter instance with the given parameterized function and minimizer.
	OneVariableFunctionFitterM(FuncDoubleVector, Double, Double, M)	Constructs a OneVariableFunctionFitter instance with the given parameterized function and minimizer.

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Properties

	Name	Description
	Function	Gets and sets the parameterized function.
	Minimizer	Gets and sets the function minimizer.

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Methods

	Name	Description
	Clone	Creates a deep copy of this OneVariableFunctionFitter.
	Fit(DoubleVector, DoubleVector, DoubleVector)	Fits a function to the specified points.
	Fit(DoubleVector, DoubleVector, DoubleVector, DoubleVector)	Fits a function to the specified points.
	ResidualVector	Computes the residual vector from the given data points and solution.
	WeightedResidualVector	Computes the residual vector from the given data points and solution.

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Fields

	Name	Description
	minimizer_	The nonlinear least squares minimizer to use.
	parameterizedFunction_	Parameterized funtion.
	residualFunction_	The actual funtion minimized by the minimizer.

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Remarks

In the space of the function parameters, begining at a specified starting point, finds a minimum (possibly local) in the sum of the squared residuals with respect to a set of data points. Uses a nonlinear least squares minimization to compute the solution. You must supply at least as many data points to fit as your function has parameters.
For example, the following code fits a 4-parameter logistic function to a set of 10 data points, beginning at point (0.1, 0.1, 0.1, 0.1) in the parameter space.

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OneVariableFunctionFitter<TrustRegionMinimizer>; fitter = new OneVariableFunctionFitter<TrustRegionMinimizer>(NMathFunctions.FourParameterLogistic);

DoubleVector xValues = new DoubleVector(55, 64, 70, 76, 80, 90, 72, 65, 86, 75);
DoubleVector yValues = new DoubleVector(338, 328, 308, 225, 180, 142, 283, 325, 143, 250);
DoubleVector initialParameters = new DoubleVector("0.1 0.1 0.1 0.1");
DoubleVector solution = fitter.Fit(xValues, yValues, initialParameters);

Note that problems can have multiple local minima. Trying different initial parameter points is recommended for better solutions.

Reference

CenterSpace.NMath.Core Namespace