14 #ifndef __MLPACK_CORE_KERNELS_EPANECHNIKOV_KERNEL_HPP
15 #define __MLPACK_CORE_KERNELS_EPANECHNIKOV_KERNEL_HPP
52 template<
typename VecTypeA,
typename VecTypeB>
53 double Evaluate(
const VecTypeA& a,
const VecTypeB& b)
const;
59 double Evaluate(
const double distance)
const;
66 double Gradient(
const double distance)
const;
83 template<
typename VecTypeA,
typename VecTypeB>
96 template<
typename Archive>
97 void Serialize(Archive& ar,
const unsigned int version);
122 #include "epanechnikov_kernel_impl.hpp"
This is a template class that can provide information about various kernels.
Linear algebra utility functions, generally performed on matrices or vectors.
EpanechnikovKernel(const double bandwidth=1.0)
Instantiate the Epanechnikov kernel with the given bandwidth (default 1.0).
double Gradient(const double distance) const
Evaluate the Gradient of Epanechnikov kernel given that the distance between the two input points is ...
void Serialize(Archive &ar, const unsigned int version)
Serialize the kernel.
double ConvolutionIntegral(const VecTypeA &a, const VecTypeB &b)
Obtains the convolution integral [integral of K(||x-a||) K(||b-x||) dx] for the two vectors...
double inverseBandwidthSquared
Cached value of the inverse bandwidth squared (to speed up computation).
Include all of the base components required to write MLPACK methods, and the main MLPACK Doxygen docu...
double bandwidth
Bandwidth of the kernel.
The Epanechnikov kernel, defined as.
double Normalizer(const size_t dimension)
Compute the normalizer of this Epanechnikov kernel for the given dimension.
static const bool UsesSquaredDistance
If true, then the kernel include a squared distance, ||x - y||^2 .
static const bool IsNormalized
If true, then the kernel is normalized: K(x, x) = K(y, y) = 1 for all x.
double Evaluate(const VecTypeA &a, const VecTypeB &b) const
Evaluate the Epanechnikov kernel on the given two inputs.
double GradientForSquaredDistance(const double distanceSquared) const
Evaluate the Gradient of Epanechnikov kernel given that the squared distance between the two input po...