Low-rank spectral optimization

نویسندگان

  • Michael P. Friedlander
  • Ives Macedo
چکیده

Various applications in signal processing and machine learning give rise to highly structured spectral optimization problems characterized by low-rank solutions. Two important examples that motivate this work are optimization problems from phase retrieval and from blind deconvolution, which are designed to yield rank-1 solutions. An algorithm is described based on solving a certain constrained eigenvalue optimization problem that corresponds to the gauge dual. Numerical examples on a range of problems illustrate the effectiveness of the approach.

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عنوان ژورنال:
  • CoRR

دوره abs/1508.00315  شماره 

صفحات  -

تاریخ انتشار 2015