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    Linear Program Differentiation For Single-CHannel Speech Separation

    Pearlmutter, Barak A. and Olsson, Rasmus K. (2005) Linear Program Differentiation For Single-CHannel Speech Separation. International Journal of Imaging Systems and Technology, 15. pp. 18-33.

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    Many apparently difficult problems can be solved by reduction to linear programming. Such problems are often subproblems within larger systems. When gradient optimisation of the entire larger system is desired, it is necessary to propagate gradients through the internally-invoked LP solver. For instance, when an intermediate quantity z is the solution to a linear program involving constraint matrix A, a vector of sensitivities dE/dz will induce sensitivities dE/dA. Here we show how these can be efficiently calculated, when they exist. This allows algorithmic differentiation to be applied to algorithms that invoke linear programming solvers as subroutines, as is common when using sparse representations in signal processing. Here we apply it to gradient optimisation of overcomplete dictionaries for maximally sparse representations of a speech corpus. The dictionaries are employed in a single-channel speech separation task, leading to 5 dB and 8 dB target-to-interference ratio improvements for same-gender and opposite-gender mixtures, respectively. Furthermore, the dictionaries are successfully applied to a speaker identification task.

    Item Type: Article
    Keywords: Sparse methods, source separation
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Item ID: 565
    Depositing User: Barak Pearlmutter
    Date Deposited: 15 Jun 2007
    Journal or Publication Title: International Journal of Imaging Systems and Technology
    Publisher: Wiley
    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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