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24 March 2025
 
  » arxiv » 1508.0315

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Low-rank spectral optimization
Michael P. Friedlander ; Ives Macedo ;
Date 3 Aug 2015
AbstractVarious 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 solving a certain constrained eigenvalue optimization problem that corresponds to the gauge dual. Numerical examples on a small and large problems illustrate the effectiveness of the approach.
Source arXiv, 1508.0315
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