S-AMP: Approximate message passing for general matrix ensembles

  title={S-AMP: Approximate message passing for general matrix ensembles},
  author={Burak Çakmak and Ole Winther and Bernard Henri Fleury},
  journal={2014 IEEE Information Theory Workshop (ITW 2014)},
We propose a novel iterative estimation algorithm for linear observation models called S-AMP. The fixed points of S-AMP are the stationary points of the exact Gibbs free energy under a set of (first- and second-) moment consistency constraints in the large system limit. S-AMP extends the approximate message-passing (AMP) algorithm to general matrix ensembles with a well-defined large system size limit. The generalization is based on the S-transform (in free probability) of the spectrum of the… CONTINUE READING
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