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    Soft-LOST: EM on a Mixture of Oriented Lines

    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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    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
    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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