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    Privacy-Preserving Linear and Nonlinear Approximation via Linear Programming 

    Mangasarian, Olvi; Fung, Glenn (2011)
    We propose a novel privacy-preserving random kernel approximation based on a data matrix A ? Rm�n whose rows are divided into privately owned blocks. Each block of rows belongs to a different entity that is unwilling to ...
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    Primal-Dual Bilinear Programming Solution of the Absolute Value Equation 

    Mangasarian, Olvi (2011)
    We propose a finitely terminating primal-dual bilinear programming algorithm for the solution of the NP-hard absolute value equation (AVE): Ax ? |x| = b, where A is an n � n square matrix. The algorithm, which makes no ...
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    Equivalence of Minimal L0 and Lp Norm Solutions of Linear Equalities, Inequalities and Linear Programs for Sufficiently Small p 

    Mangasarian, Olvi; Fung, Glenn (2011)
    For a bounded system of linear equalities and inequalities we show that the NP-hard ?0 norm minimization problem min ||x||0 subject to Ax = a, Bx ? b and ||x||? ? 1, is completely equivalent to the concave minimization ...
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    Absolute Value Equation Solution via Dual Complementarity 

    Mangasarian, Olvi (2011)
    By utilizing a dual complementarity condition, we propose an iterative method for solving the NPhard absolute value equation (AVE): Ax?|x| = b, where A is an n�n square matrix. The algorithm makes no assumptions on the ...

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    Author
    Mangasarian, Olvi (4)
    Fung, Glenn (2)Subjectlinear programming (4)absolute value equation (1)absolute value equations (1)bilinear programming (1)complementarity (1)l0 minimization (1)linear equations (1)linear inequalities (1)privacy-preserving approximation (1)random kernels (1)... View MoreDate Issued
    2011 (4)
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