mlpack_kernel_PolynomialKernel (3)

Public Member Functions

PolynomialKernel (const double degree=2.0, const double offset=0.0)

Construct the Polynomial Kernel with the given offset and degree. const double & Degree () const

Get the degree of the polynomial. double & Degree ()

Modify the degree of the polynomial. template<typename VecType > double Evaluate (const VecType &a, const VecType &b) const

Simple evaluation of the dot product. const double & Offset () const

Get the offset of the dot product of the arguments. double & Offset ()

Modify the offset of the dot product of the arguments. std::string ToString () const

Return a string representation of the kernel.

Private Attributes

double degree

The degree of the polynomial. double offset

The offset of the dot product of the arguments.

The simple polynomial kernel.

For any two vectors $ x $, $ y $, $ degree $ and $ offset $,

\[ K(x, y) = (x^T * y + offset) ^ {degree}. \]

Definition at line 38 of file polynomial_kernel.hpp.

mlpack::kernel::PolynomialKernel::PolynomialKernel (const doubledegree = \fC2.0\fP, const doubleoffset = \fC0.0\fP)\fC [inline]\fP

Construct the Polynomial Kernel with the given offset and degree. If the arguments are omitted, the default degree is 2 and the default offset is 0.

Parameters:

offset Offset of the dot product of the arguments.

degree Degree of the polynomial.

Definition at line 48 of file polynomial_kernel.hpp.

const double& mlpack::kernel::PolynomialKernel::Degree () const\fC [inline]\fP

Get the degree of the polynomial.

Definition at line 69 of file polynomial_kernel.hpp.

References degree.

double& mlpack::kernel::PolynomialKernel::Degree ()\fC [inline]\fP

Modify the degree of the polynomial.

Definition at line 71 of file polynomial_kernel.hpp.

References degree.

template<typename VecType > double mlpack::kernel::PolynomialKernel::Evaluate (const VecType &a, const VecType &b) const\fC [inline]\fP

Simple evaluation of the dot product. This evaluation uses Armadillo's dot() function.

Template Parameters:

VecType Type of vector (should be arma::vec or arma::spvec).

Parameters:

a First vector.

b Second vector.

Returns:

K(a, b).

Definition at line 63 of file polynomial_kernel.hpp.

References degree, and offset.

const double& mlpack::kernel::PolynomialKernel::Offset () const\fC [inline]\fP

Get the offset of the dot product of the arguments.

Definition at line 74 of file polynomial_kernel.hpp.

References offset.

double& mlpack::kernel::PolynomialKernel::Offset ()\fC [inline]\fP

Modify the offset of the dot product of the arguments.

Definition at line 76 of file polynomial_kernel.hpp.

References offset.

std::string mlpack::kernel::PolynomialKernel::ToString () const\fC [inline]\fP

Return a string representation of the kernel.

Definition at line 79 of file polynomial_kernel.hpp.

References degree, and offset.

double mlpack::kernel::PolynomialKernel::degree\fC [private]\fP

The degree of the polynomial.

Definition at line 90 of file polynomial_kernel.hpp.

Referenced by Degree(), Evaluate(), and ToString().

double mlpack::kernel::PolynomialKernel::offset\fC [private]\fP

The offset of the dot product of the arguments.

Definition at line 92 of file polynomial_kernel.hpp.

Referenced by Evaluate(), Offset(), and ToString().

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