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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 |
|---|---|
| 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/5508 |
| 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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