Reference

mlpack_optimization_test_WoodFunction(3)

The Wood function, defined by f(x) = f1(x) + f2(x) + f3(x) + f4(x) + f5(x) + f6(x) f1(x) = 100 (x2 - x1^2)^2 f2(x) = (1 - x1)^2 f3(x) = 90 (x4 - x3^2)^2 f4(x) = (1 - x3)^2 f5(x) = 10 (x2 + x4 - 2)^2 f6(x) = (1 / 10) (x2 - x4)^2 x_0 = [-3, -1, -3, -1].

NAME

mlpack::optimization::test::WoodFunction -

The Wood function, defined by f(x) = f1(x) + f2(x) + f3(x) + f4(x) + f5(x) + f6(x) f1(x) = 100 (x2 - x1^2)^2 f2(x) = (1 - x1)^2 f3(x) = 90 (x4 - x3^2)^2 f4(x) = (1 - x3)^2 f5(x) = 10 (x2 + x4 - 2)^2 f6(x) = (1 / 10) (x2 - x4)^2 x_0 = [-3, -1, -3, -1].

SYNOPSIS

Public Member Functions

WoodFunction ()
double Evaluate (const arma::mat &coordinates)
const arma::mat & GetInitialPoint () const
void Gradient (const arma::mat &coordinates, arma::mat &gradient)

Private Attributes

arma::mat initialPoint

Detailed Description

The Wood function, defined by f(x) = f1(x) + f2(x) + f3(x) + f4(x) + f5(x) + f6(x) f1(x) = 100 (x2 - x1^2)^2 f2(x) = (1 - x1)^2 f3(x) = 90 (x4 - x3^2)^2 f4(x) = (1 - x3)^2 f5(x) = 10 (x2 + x4 - 2)^2 f6(x) = (1 / 10) (x2 - x4)^2 x_0 = [-3, -1, -3, -1].

This should optimize to f(x) = 0, at x = [1, 1, 1, 1].

Definition at line 93 of file test_functions.hpp.

Constructor & Destructor Documentation

mlpack::optimization::test::WoodFunction::WoodFunction ()

Member Function Documentation

double mlpack::optimization::test::WoodFunction::Evaluate (const arma::mat &coordinates)

const arma::mat& mlpack::optimization::test::WoodFunction::GetInitialPoint () const

void mlpack::optimization::test::WoodFunction::Gradient (const arma::mat &coordinates, arma::mat &gradient)

Member Data Documentation

arma::mat mlpack::optimization::test::WoodFunction::initialPoint [private]

Definition at line 104 of file test_functions.hpp.

Author

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