dim_reduction Package

dimensionality_reduction Module

Created on Sep 28, 2012

@author: georgianadinu

class composes.transformation.dim_reduction.dimensionality_reduction.DimensionalityReduction(reduced_dimension)

Bases: object

classdocs

create_operation()

get_name()

get_reduced_dimension()

name

reduced_dimension

nmf Module

Created on Oct 1, 2012

@author: georgianadinu

class composes.transformation.dim_reduction.nmf.Nmf(reduced_dimension)

Bases: composes.transformation.dim_reduction.dimensionality_reduction.DimensionalityReduction

Performs Non-negative Matrix Factorization to reduced dimension \(k\).

Given an input non-negative matrix \(X\), it computes the decomposition:

\(X \approx WH\) where W and H are non-negative matrices which minimize \(||X-WH||_{2}\)

It returns the matrix W.

apply(matrix_)

nndsvd_init(matrix_)

random_init(matrix_)

v_col_init(matrix_)

svd Module

Created on Sep 28, 2012

@author: georgianadinu

class composes.transformation.dim_reduction.svd.Svd(reduced_dimension)

Bases: composes.transformation.dim_reduction.dimensionality_reduction.DimensionalityReduction

Performs truncated Singular Value Decomposition to a reduced dimension \(k\).

Given an input matrix \(X\), it computes the decomposition:

\(X = U \Sigma V^{T}\)

It returns \(U \Sigma\) truncated to dimension \(min(k,rank(X))\)

apply(matrix_)