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 |
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
|
|