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mlpack::kernel::LaplacianKernel(3) | MLPACK | mlpack::kernel::LaplacianKernel(3) |
NAME¶
mlpack::kernel::LaplacianKernel - The standard Laplacian kernel.SYNOPSIS¶
Public Member Functions¶
LaplacianKernel ()
Private Attributes¶
double bandwidth
Detailed Description¶
The standard Laplacian kernel. Given two vectors $ x $, $ y $, and a bandwidth $ $ (set in the constructor), The implementation is all in the header file because it is so simple. Definition at line 40 of file laplacian_kernel.hpp.Constructor & Destructor Documentation¶
mlpack::kernel::LaplacianKernel::LaplacianKernel () [inline]¶
Default constructor; sets bandwidth to 1.0. Definition at line 46 of file laplacian_kernel.hpp.mlpack::kernel::LaplacianKernel::LaplacianKernel (doublebandwidth) [inline]¶
Construct the Laplacian kernel with a custom bandwidth. Parameters:bandwidth The bandwidth of the kernel ( $$).
Definition at line 54 of file laplacian_kernel.hpp.
Member Function Documentation¶
double mlpack::kernel::LaplacianKernel::Bandwidth () const [inline]¶
Get the bandwidth. Definition at line 91 of file laplacian_kernel.hpp. References bandwidth.double& mlpack::kernel::LaplacianKernel::Bandwidth () [inline]¶
Modify the bandwidth. Definition at line 93 of file laplacian_kernel.hpp. References bandwidth.template<typename VecType > double mlpack::kernel::LaplacianKernel::Evaluate (const VecType &a, const VecType &b) const [inline]¶
Evaluation of the Laplacian kernel. This could be generalized to use any distance metric, not the Euclidean distance, but for now, the Euclidean distance is used. Template Parameters:VecType Type of vector (likely arma::vec or
arma::spvec).
Parameters:
a First vector.
b Second vector.
Returns:
K(a, b) using the bandwidth ( $$) specified in the
constructor.
Definition at line 70 of file laplacian_kernel.hpp.
References bandwidth, and mlpack::metric::LMetric< Power, TakeRoot
>::Evaluate().
double mlpack::kernel::LaplacianKernel::Evaluate (const doublet) const [inline]¶
Evaluation of the Laplacian kernel given the distance between two points. Parameters:t The distance between the two points the kernel
should be evaluated on.
Returns:
K(t) using the bandwidth ( $$) specified in the
constructor.
Definition at line 84 of file laplacian_kernel.hpp.
References bandwidth.
std::string mlpack::kernel::LaplacianKernel::ToString () const [inline]¶
Return a string representation of the kernel. Definition at line 96 of file laplacian_kernel.hpp. References bandwidth.Member Data Documentation¶
double mlpack::kernel::LaplacianKernel::bandwidth [private]¶
Kernel bandwidth. Definition at line 106 of file laplacian_kernel.hpp. Referenced by Bandwidth(), Evaluate(), and ToString().Author¶
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