pyfaust.proj.sp Class Reference

Functor for the SP projector. More...

Public Member Functions
def	__init__ (self, shape, k, normalized=True, pos=False)
Public Member Functions inherited from pyfaust.proj.proj_gen
def	__init__ (self, shape)
def	__call__ (self, M)

Public Attributes
	constraint
Public Attributes inherited from pyfaust.proj.proj_gen
	shape

Detailed Description

Functor for the SP projector.

A, the image matrix, is such that \( \| A \|_0 = k, \| A\|_F = 1 \) (if normalized == True).

Examples

>>> from pyfaust.proj import sp
>>> from numpy.random import rand, seed
>>> import numpy as np
>>> seed(42) # just for reproducibility
>>> M = np.round(rand(5,5), decimals=2)
>>> M
array([[0.37, 0.95, 0.73, 0.6 , 0.16],
[0.16, 0.06, 0.87, 0.6 , 0.71],
[0.02, 0.97, 0.83, 0.21, 0.18],
[0.18, 0.3 , 0.52, 0.43, 0.29],
[0.61, 0.14, 0.29, 0.37, 0.46]])
>>> p = sp(M.shape, 3, normalized=False)
>>> p(M)
array([[0.  , 0.95, 0.  , 0.  , 0.  ],
[0.  , 0.  , 0.87, 0.  , 0.  ],
[0.  , 0.97, 0.  , 0.  , 0.  ],
[0.  , 0.  , 0.  , 0.  , 0.  ],
[0.  , 0.  , 0.  , 0.  , 0.  ]])

Constructor & Destructor Documentation

__init__()

def pyfaust.proj.sp.__init__	(		self,
			shape,
			k,
			normalized = True,
			pos = False
	)

Parameters

shape	(tuple(int,int)) the size of the input matrix.
k	(int) the number of nonzeros of the projection image.
normalized	(bool) True to normalize the projection image according to its Frobenius norm.
pos	(bool) True to skip negative values (replaced by zero) of the matrix to project.

Member Data Documentation

constraint

pyfaust.proj.sp.constraint

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

• proj.py