Interface for kernel expansion coefficient computation. More...

Detailed Description

Interface for kernel expansion coefficient computation.

Any algorithm that can compute onedimensional coefficients given a kernel matrix \(K\) for a kernel expansion of the type

\[f(x) = \sum\limits_{i=1}^N \alpha_i\K(x,x_i)\]

should implement this interface in order to be available as strategy within any approx.KernelApprox subclass.

Author: Daniel Wirtz

Date: 2011-03-31

Change in 0.5:

(Daniel Wirtz, 2011-09-12)

Added initial values that can be passed to the CoeffComp algorithms.
New Property IKernelCoeffComp.MultiTargetComputation that indicates of the algorithm at hand can handle a column vector matrix instead of a single vector.

New in 0.5:: (Daniel Wirtz, 2011-07-07) Moved this class to the approx.algorithms package.

Change in 0.3:: (Daniel Wirtz, 2011-05-03) Removed offset terms from interface as the \(b\) offsets for kernel expansions arent used anymore.

New in 0.3:: (Daniel Wirtz, 2011-03-31) Added this interface.

Definition at line 17 of file IKernelCoeffComp.m.

Public Member Functions
function copy =	clone (copy)
	The interface method with returns a copy of the current class instance. More...

virtual function	init (data.FileMatrix K)
	Initialization template method. More...

virtual function [ rowvec ci , integer svidx ] =	computeKernelCoefficients (yi, initialai)
	Kernel coefficient computation. More...

Public Attributes
logical	MultiTargetComputation = false
	A flag that indicates to users if the coefficient computation method is capable of using a matrix of column fxi vectors or only single vectors. More...

Public Attributes inherited from handle
	addlistener
	Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More...

	notify
	Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More...

	delete
	Handle object destructor method that is called when the object's lifecycle ends. More...

	disp
	Handle object disp method which is called by the display method. See the MATLAB disp function. More...

	display
	Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More...

	findobj
	Finds objects matching the specified conditions from the input array of handle objects. More...

	findprop
	Returns a meta.property objects associated with the specified property name. More...

	fields
	Returns a cell array of string containing the names of public properties. More...

	fieldnames
	Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More...

	isvalid
	Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More...

	eq
	Relational functions example. See details for more information. More...

	transpose
	Transposes the elements of the handle object array. More...

	permute
	Rearranges the dimensions of the handle object array. See the MATLAB permute function. More...

	reshape
	hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More...

	sort
	ort the handle objects in any array in ascending or descending order. More...

Member Function Documentation

function copy = IKernelCoeffComp.clone ( target )

virtual

The interface method with returns a copy of the current class instance.

Parameters

target If clone was called for a subclass of this class, target must contain the new instance of the subclass that is to be the cloned result.

Implements ICloneable.

Definition at line 66 of file IKernelCoeffComp.m.

References MultiTargetComputation.

function [ rowvec ci , integer svidx ] = IKernelCoeffComp.computeKernelCoefficients	(	yi,
		initialai
	)

pure virtual

Kernel coefficient computation.

Here the concrete class performs the approximation calculation for given function evaluation points \(y_i = f(x_i)\) at the centers \(x_i\) also used to compute the kernel matrix passed to the IKernelCoeffComp.init method.

See Also: init

Parameters

yi	The function values \(f(x_i)\) as column vector. If MultiTargetComputation is true, this can be a matrix of column vectors.
initialai	The values to use as initial coefficients. It is up to the implementing classes to use those if passed; however, a call with empty argument must be possible, too.

Return values

ci	The coefficients \(c_{k,i}\) of \(f_k(x)\) as ROW vector.
svidx	The used support vector indices \(i\) of \(x_i\). Always required. (Set to 1:n if no sparsity is given by the coeffcomp method)

Implemented in general.regression.KernelLS.

function IKernelCoeffComp.init ( data.FileMatrix K )

pure virtual

Initialization template method.

Call this method before any calls to computeKernelCoefficients and every time the kernel matrix changes.

See Also: computeKernelCoefficients

Parameters

K	The Kernel matrix for the centers \(x_i\)

Member Data Documentation

IKernelCoeffComp.MultiTargetComputation = false

A flag that indicates to users if the coefficient computation method is capable of using a matrix of column fxi vectors or only single vectors.

Default: false

Note: This property has non-standard access specifiers: SetAccess = Protected, GetAccess = Public; Matlab documentation of property attributes.

Definition at line 49 of file IKernelCoeffComp.m.

Referenced by clone(), and general.interpolation.KernelInterpol.KernelInterpol().

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

core/interfaces/IKernelCoeffComp.m

Detailed Description

Public Member Functions

Public Attributes

Member Function Documentation

Member Data Documentation