Detailed Description

An experimental kernel inspired by the WeightedDegreePositionStringKernel and the Gaussian kernel.

It is computed as

$k({\bf x},{\bf x'})= \exp(-\frac{||{\bf x}-{\bf x'}||^2}{\tau}) + \sum_{s=1}^{S_{\mathrm{max}}/S_{\mathrm{step}}} \frac{1}{2s} \exp(-\frac{||{\bf x}_{[1:|{\bf x}|-sS_{\mathrm{step}}]}-{\bf x'}_{[sS_{\mathrm{step}}:|{\bf x}|]}||^2}{\tau}) + \sum_{s=1}^{S_{max}/S_{step}} \frac{1}{2s} \exp(-\frac{||{\bf x}_{[sS_{\mathrm{step}}:|{\bf x}|]}-{\bf x'}_{[1:|{\bf x}|-sS_{\mathrm{step}}]}||^2}{\tau}) +$

where $\tau$ is the kernel width. The idea is to shift the dimensions of the input vectors against eachother. $S_{\mathrm{step}}$ is the step size (parameter shift_step) of the shifts and $S_{\mathrm{max}}$ (parameter max_shift) is the maximal shift.

Definition at line 37 of file GaussianShiftKernel.h.

Inheritance diagram for CGaussianShiftKernel:

[legend]

List of all members.

Public Member Functions
	CGaussianShiftKernel ()
	CGaussianShiftKernel (int32_t size, float64_t width, int32_t max_shift, int32_t shift_step)
	CGaussianShiftKernel (CSimpleFeatures< float64_t > l, CSimpleFeatures< float64_t > r, float64_t width, int32_t max_shift, int32_t shift_step, int32_t size=10)
virtual	~CGaussianShiftKernel ()
virtual EKernelType	get_kernel_type ()
virtual const char *	get_name () const
Protected Member Functions
virtual float64_t	compute (int32_t idx_a, int32_t idx_b)
Protected Attributes
int32_t	max_shift
int32_t	shift_step

Constructor & Destructor Documentation

CGaussianShiftKernel ( void )

default constructor

Definition at line 19 of file GaussianShiftKernel.cpp.

CGaussianShiftKernel	(	int32_t	size,
		float64_t	width,
		int32_t	max_shift,
		int32_t	shift_step
	)

constructor

Parameters:

	size	cache size
	width	width
	max_shift	maximum shift
	shift_step	shift step

Definition at line 25 of file GaussianShiftKernel.cpp.

CGaussianShiftKernel	(	CSimpleFeatures< float64_t > *	l,
		CSimpleFeatures< float64_t > *	r,
		float64_t	width,
		int32_t	max_shift,
		int32_t	shift_step,
		int32_t	size = `10`
	)

constructor

Parameters:

	l	features of left-hand side
	r	features of right-hand side
	width	width
	max_shift	maximum shift
	shift_step	shift step
	size	cache size

Definition at line 32 of file GaussianShiftKernel.cpp.

~CGaussianShiftKernel ( ) [virtual]

Definition at line 41 of file GaussianShiftKernel.cpp.

Member Function Documentation

float64_t compute	(	int32_t	idx_a,
		int32_t	idx_b
	)			`[protected, virtual]`

compute kernel function for features a and b idx_{a,b} denote the index of the feature vectors in the corresponding feature object

Parameters:

	idx_a	index a
	idx_b	index b

Returns:: computed kernel function at indices a,b

Reimplemented from CGaussianKernel.

Definition at line 45 of file GaussianShiftKernel.cpp.

virtual EKernelType get_kernel_type ( ) [virtual]

return what type of kernel we are

Returns:: kernel type GAUSSIANSHIFT

Reimplemented from CGaussianKernel.

Definition at line 74 of file GaussianShiftKernel.h.

virtual const char* get_name ( void ) const [virtual]

return the kernel's name

Returns:: name GaussianShift

Reimplemented from CGaussianKernel.

Definition at line 80 of file GaussianShiftKernel.h.

Member Data Documentation

int32_t max_shift [protected]

maximum shift

Definition at line 98 of file GaussianShiftKernel.h.

int32_t shift_step [protected]

shift step

Definition at line 100 of file GaussianShiftKernel.h.

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

CGaussianShiftKernel Class Reference

Detailed Description

Public Member Functions

Protected Member Functions

Protected Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation