Conference Publication Details
Mandatory Fields
O'Grady, PD;Pearlmutter, BA
INDEPENDENT COMPONENT ANALYSIS AND BLIND SIGNAL SEPARATION
Soft-LOST: EM on a mixture of oriented lines
2004
January
Published
1
28 ()
Optional Fields
BLIND SOURCE SEPARATION
430
436
Robust clustering of data into overlapping linear subspaces is a common problem. Here we consider one-dimensional subspaces that cross the origin. This problem arises in blind source separation, where the subspaces correspond directly to columns of a mixing matrix. We present an algorithm that identifies these subspaces using an EM procedure, where the E-step calculates posterior probabilities assigning data points to lines and M-step repositions the lines to match the points assigned to them. This method, combined with a transformation into a sparse domain and an L-1-norm optimisation, constitutes a blind source separation algorithm for the under-determined case.
Grant Details