matfaust::proj::normlin Class Reference

Functor for the NORMLIN projector. More...

Public Member Functions
function	normlin (shape, varargin)
Public Member Functions inherited from matfaust::proj::proj_gen
function	subsref (self, S)

Additional Inherited Members
Protected Attributes inherited from matfaust::proj::proj_gen
Property	constraint

Detailed Description

Functor for the NORMLIN projector.

A, the image matrix, is defined by \( \forall i \in \{1,\ldots,shape(1)\} \) the i-th row \( A_{i,*} \) is such that \( \| A_{i, *} \|_2 = s \).

Example

>> import matfaust.proj.normlin
>> rng(42)
>> M = rand(5, 5)
 
M =
 
    0.3745    0.1560    0.0206    0.1834    0.6119
    0.9507    0.0581    0.9699    0.3042    0.1395
    0.7320    0.8662    0.8324    0.5248    0.2921
    0.5987    0.6011    0.2123    0.4319    0.3664
    0.1560    0.7081    0.1818    0.2912    0.4561
 
>> p = normlin(size(M), .01);
>> pM = p(M);
>> norm(pM(1,:), 2) % doctest: +ELLIPSIS
 
ans =
 
    1%>
>>

Constructor & Destructor Documentation

normlin()

function matfaust::proj::normlin::normlin	(	shape	,
		varargin
	)

Usage

    normlin(shape, s): returns a NORMLIN projector (functor), shape defines the size of the input matrix (e.g. [1, 10]), s defines the sparsity of the output matrix (the 2-norm of each row).

Parameters

shape	vector of size 2, to define the size of the input matrix.
's',value	(optional) the sparsity parameter, the 2-norm of the row (1 by default).

Return values

normlin

projector

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

• normlin.m