Here are three exemplary mixture decompositions performed using MILCA



The first one is a “cocktail party” problem with 5 audio sources (4 speakers, one music sample

and a white noise signal). We mixed these sources by a 5x5 non-negative random mixing matrix

and assumed that all 5 “microphone recordings” are available. The results of blind source separation

by MILCA are channels 1-5.


5 audio signals (wav files)

5 observed superpositions

Recovered least-dependent components

Weather (dutch)

mix 1

channel 1

Weather (german)

mix 2

channel 2

Weather (CNN)

mix 3

channel 3

Last Christmas

mix 4

channel 4

White noise

mix 5

channel 5



Next is an image restoration and de-noising problem. Again, 3 sources and a white noise signal

are mixed by a 4x4 random non-negative matrix.


Original images

Mixed

Restored













 

 

A synthetic hyperspectral image - three species ("red", "green" and "blue") with distinct spectra distributed 

on a 100x100 grid. The observations are given by a three-way 100x100x1000 matrix  where the third 

dimension represents spectral resolution. The results of blind separation are spectra of components   

and their spatial distributions ("maps" of mixing coefficients or abundances).

 

Grayscale-coded abundances

Mixture image (RGB)

Decomposed

red

 

 

 

 



 

 

green

 

blue