LeastSquaresOptimizer Class

Represents an algorithm that minimizes a sum of squares.

Definition

Namespace: Numerics.NET.Optimization
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
C#
public abstract class LeastSquaresOptimizer : ManagedIterativeAlgorithm<Vector<double>>
Inheritance
Object  →  ManagedIterativeAlgorithm<Vector<Double>, Double, SolutionReport<Vector<Double>, Double>>  →  ManagedIterativeAlgorithm<Vector<Double>>  →  LeastSquaresOptimizer
Derived

Remarks

The LeastSquaresOptimizer class serves as the abstract base class for implementations of nonlinear least squares optimizers. This class cannot be instantiated. Instead, use one of its inherited classes:

ClassDescription
LevenbergMarquardtOptimizerRepresents an optimizer that implements the Levenberg-Marquardt algorithm.
TrustRegionReflectiveOptimizerRepresents an optimizer that uses the Trust Region Reflective algorithm.

To verify that the algorithm terminated normally, you can inspect the Status property, which is of type AlgorithmStatus. A value of Converged indicates that the algorithm terminated normally. However, it is still possible that the algorithm didn't converge to the actual best fit. A visual inspection is always recommended.

Constructors

LeastSquaresOptimizer Constructs a new LeastSquaresOptimizer object.

Properties

ConvergenceTests Gets the collection of convergence tests for the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Dimensions Gets or sets the number of dimensions of the optimization problem.
EstimatedError Gets a value indicating the size of the absolute error of the result.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
EvaluationsNeeded Gets the number of evaluations needed to execute the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
EvaluationsRemaining Gets the number of evaluations still available.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
GradientTest Gets the VectorConvergenceTest<T> that uses the gradient of the objective function.
GradientVector Gets or sets the current value of the gradient.
HasSharedDegreeOfParallelism Indicates whether the degree of parallelism is a property that is shared across instances.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
InitialGuess Gets or sets the initial value for the iteration.
InitialTrustRegionSize Gets or sets the initial size of the trust region.
IterationsNeeded Gets the number of iterations needed by the algorithm to reach the desired accuracy.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
IterationsRemaining Gets the number of iterations remaining.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
JacobianEvaluationsNeeded Gets or sets the number of times the Jacobian was evaluated.
JacobianFunction Gets or sets a delegate that computes the Jacobian of the problem.
LastCorrection Gets the last correction to the solution of the system of equations.
LowerBounds Gets or sets the vector of lower bounds for the solution.
MaxDegreeOfParallelism Gets or sets the maximum degree of parallelism enabled by this instance.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
MaxEvaluations Gets or sets the maximum number of evaluations during the calculation.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
MaxIterationsGets or sets the maximum number of iterations to use when approximating the roots of the target function.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Minimum Gets or sets the current best approximation to the minimum.
MinimumValue Gets or sets the current value of the objective function.
MinIterations Gets or sets the minimum iterations that have to be performed.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
NumberOfFunctions Gets or sets the number of functions in the problem.
ObjectiveFunction Gets or sets a delegate that computes the function values of the problem.
ParallelOptions Gets or sets the configuration for the parallel behavior of the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Result Gets the result of an algorithm after it has executed.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
SolutionReport Gets the result of an algorithm after it has executed.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
SolutionTest Gets the VectorConvergenceTest<T> that uses the approximate solution.
Status Gets the AlgorithmStatus following an execution of the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThrowExceptionOnFailure Gets or sets whether to throw an exception when the algorithm fails to converge.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
UpperBounds Gets or sets the upper bounds for the solution.
ValueTest Gets the SimpleConvergenceTest<T> that uses the value of the target functions.
VarianceCovarianceMatrix Gets the variance-covariance matrix of the solution.

Methods

EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
FinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
FindMinimum Runs the Levenberg-Marquardt algorithm and returns the result.
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetTypeGets the Type of the current instance.
(Inherited from Object)
GetVarianceCovarianceMatrix Computes the variance-covariance matrix of the solution.
IncrementEvaluations() Increments the number of evaluations by one.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
IncrementEvaluations(Int32) Increments the number of evaluations by the specified amount.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Iterate Performs one iteration of the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Iterated Performs tasks after the iteration is completed, but before the status of the algorithm is finalized.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
MemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
OnConvergence Performs any tasks after the main algorithm has converged.
(Overrides ManagedIterativeAlgorithm<T, TError, TReport>.OnConvergence())
OnFailure Performs any tasks after the main algorithm has failed to converge.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
OnInit Performs initialization before the first iteration.
(Overrides ManagedIterativeAlgorithm<T, TError, TReport>.OnInit())
ReportFailure Records the results of an algorithm in case it fails.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ReportResult Records the results of an algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ReportSuccess Records the results of a algorithm that converged successfully.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ResetEvaluations Resets the number of evaluations to zero.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Restart Prepares the algorithm to be run again with possibly different inputs.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Run() Runs the algorithm.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
Run(ParallelOptions) Runs the algorithm using the specified parallelization options.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
SetMinimumValue Sets the value of the objective function at the minimum to the supplied value.
SetResult Sets the results of an algorithm's execution.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
SetSymbolicObjectiveFunction(Expression<Func<Vector<Double>, Double>>[]) Sets the objective function as a list of symbolic expressions.
SetSymbolicObjectiveFunction(IList<Expression<Func<Vector<Double>, Double>>>) Sets the objective function as a list of symbolic expressions.
TestConvergence Checks whether the algorithm has converged.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThreadSafeIncrementEvaluations() Increments the number of evaluations by one.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThreadSafeIncrementEvaluations(Int32) Increments the number of evaluations by the specified amount.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ThrowConvergenceException Interprets the AlgorithmStatus and throws the appropriate exception.
(Inherited from ManagedIterativeAlgorithm<T, TError, TReport>)
ToStringReturns a string that represents the current object.
(Inherited from Object)

See Also