cmp::kernel::Epanechnikov Class Reference

Epanechnikov (parabolic) density kernel. More...

#include <kernel++.h>

Inheritance diagram for cmp::kernel::Epanechnikov:

Collaboration diagram for cmp::kernel::Epanechnikov:

Public Member Functions
	Epanechnikov ()=default
double	eval (const Eigen::VectorXd &z_diff) const override
	Evaluates the unnormalized Epanechnikov kernel.
double	normalizationConstant (const size_t &dim) const override
	Returns the normalization constant for a given dimension.
double	applyToGradient (const Eigen::VectorXd &z, const Eigen::VectorXd &grad_z_i) const override
	Computes the gradient of the kernel evaluation.
Public Member Functions inherited from cmp::kernel::Kernel
virtual	~Kernel ()=default

Static Public Member Functions
static std::shared_ptr< Kernel >	make ()
	Factory method for creating an Epanechnikov kernel.

Detailed Description

Epanechnikov (parabolic) density kernel.

Mathematical Formulation The multivariate Epanechnikov kernel:

\[ K(\mathbf{z}) \propto \begin{cases} 1 - \|\mathbf{z}\|_2^2 & \text{if } \|\mathbf{z}\|_2 \le 1 \\ 0 & \text{otherwise} \end{cases} \]

Constructor & Destructor Documentation

Epanechnikov()

cmp::kernel::Epanechnikov::Epanechnikov ( )

default

Member Function Documentation

applyToGradient()

double cmp::kernel::Epanechnikov::applyToGradient ( const Eigen::VectorXd &  z, const Eigen::VectorXd &  grad_z_i  ) const

overridevirtual

Computes the gradient of the kernel evaluation.

Implements cmp::kernel::Kernel.

eval()

double cmp::kernel::Epanechnikov::eval ( const Eigen::VectorXd &  z_diff ) const

overridevirtual

Evaluates the unnormalized Epanechnikov kernel.

Implements cmp::kernel::Kernel.

make()

static std::shared_ptr< Kernel > cmp::kernel::Epanechnikov::make ( )

inlinestatic

Factory method for creating an Epanechnikov kernel.

normalizationConstant()

double cmp::kernel::Epanechnikov::normalizationConstant ( const size_t &  dim ) const

overridevirtual

Returns the normalization constant for a given dimension.

Implements cmp::kernel::Kernel.

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The documentation for this class was generated from the following files:

• include/kernel++.h
• src/kernel++.cpp