Almost2Norm Class Reference

Inheritance diagram for Almost2Norm:

[legend]

List of all members.

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Detailed Description

Vector 2-norm without square root, i.e.

inner product.

Author:

Lawrence Murray <lawrence@indii.org>

Version:

Rev

Date:

Date

Almost2Norm is not strictly a norm, as it does not satisfy the property of scalar multiplication. Combining with AlmostGaussianKernel, however, produces the same result as using PNorm<2> and GaussianKernel, but is much more efficient, as the square root in the norm and square in the exponent of the Gaussian are cancelled.

See also:

AlmostGaussianKernel

Definition at line 24 of file Almost2Norm.hpp.

Public Member Functions
virtual	~Almost2Norm ()
	Destructor.
virtual double	operator() (const vector &x) const
	Evaluate the norm.
virtual vector	sample (const unsigned int N) const
	Generate a random unit vector from a uniform distribution over the unit vectors in the normed vector space.

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Constructor & Destructor Documentation

~Almost2Norm

(

)

[virtual]

Destructor.

Definition at line 5 of file Almost2Norm.cpp.

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Member Function Documentation

double operator()

(

const vector &

x

)

const [inline, virtual]

Evaluate the norm.

Parameters:

x

; a vector.

Returns:

; the norm of the vector.

Implements Norm.

Definition at line 60 of file Almost2Norm.hpp.

indii::ml::aux::vector sample

(

const unsigned int

N

)

const [inline, virtual]

Generate a random unit vector from a uniform distribution over the unit vectors in the normed vector space.

Parameters:

N

Dimensionality of the normed vector space.

Returns:

Random unit vector of length N.

Implements Norm.

Definition at line 65 of file Almost2Norm.hpp.

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