Pearlmutter, Barak A. (2004) Soft-LOST: EM on a Mixture of Oriented Lines. Independent Component Analysis and Blind Signal Separation, 3195. pp. 430-436.
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Abstract
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 the M-step repositions the lines to match the points assigned to them. This method, combined with a transformation into a sparse domain and an L1-norm optimisation, constitutes a blind source separation algorithm for the under-determined case.
Item Type: | Article |
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Keywords: | Soft-LOST; EM; Oriented Lines; |
Academic Unit: | Faculty of Science and Engineering > Computer Science Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
Item ID: | 5508 |
Depositing User: | Barak Pearlmutter |
Date Deposited: | 15 Oct 2014 15:15 |
Journal or Publication Title: | Independent Component Analysis and Blind Signal Separation |
Publisher: | Springer Verlag |
Refereed: | Yes |
URI: | |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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