MLPACK
1.0.10
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The standard Laplacian kernel. More...
Public Member Functions | |
LaplacianKernel () | |
Default constructor; sets bandwidth to 1.0. More... | |
LaplacianKernel (double bandwidth) | |
Construct the Laplacian kernel with a custom bandwidth. More... | |
double | Bandwidth () const |
Get the bandwidth. More... | |
double & | Bandwidth () |
Modify the bandwidth. More... | |
template<typename VecType > | |
double | Evaluate (const VecType &a, const VecType &b) const |
Evaluation of the Laplacian kernel. More... | |
double | Evaluate (const double t) const |
Evaluation of the Laplacian kernel given the distance between two points. More... | |
std::string | ToString () const |
Return a string representation of the kernel. More... | |
Private Attributes | |
double | bandwidth |
Kernel bandwidth. More... | |
The standard Laplacian kernel.
Given two vectors ,
, 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.
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Default constructor; sets bandwidth to 1.0.
Definition at line 46 of file laplacian_kernel.hpp.
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Construct the Laplacian kernel with a custom bandwidth.
bandwidth | The bandwidth of the kernel ( ![]() |
Definition at line 54 of file laplacian_kernel.hpp.
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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.
VecType | Type of vector (likely arma::vec or arma::spvec). |
a | First vector. |
b | Second vector. |
Definition at line 70 of file laplacian_kernel.hpp.
References bandwidth, and mlpack::metric::LMetric< Power, TakeRoot >::Evaluate().
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Evaluation of the Laplacian kernel given the distance between two points.
t | The distance between the two points the kernel should be evaluated on. |
Definition at line 84 of file laplacian_kernel.hpp.
References bandwidth.
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Return a string representation of the kernel.
Definition at line 96 of file laplacian_kernel.hpp.
References bandwidth.
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Kernel bandwidth.
Definition at line 106 of file laplacian_kernel.hpp.
Referenced by Bandwidth(), Evaluate(), and ToString().