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Nonsmooth rank-one matrix factorization landscape - MaRDI portal

Nonsmooth rank-one matrix factorization landscape (Q2673521)

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scientific article; zbMATH DE number 7539450
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Nonsmooth rank-one matrix factorization landscape
scientific article; zbMATH DE number 7539450

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    Nonsmooth rank-one matrix factorization landscape (English)
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    10 June 2022
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    The paper is devoted to the nonsmooth optimization landscape of robust principal component analysis. Necessary and sufficient conditions for the absence of spurious local minima are presented. First-order optimality conditions formulated by means of the notion of a subdidderential are used and the subdifferential regularity of the objective function is also investigated.
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    nonsmooth rank-one factorization
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    subdifferential regularity
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