Statistical physics and approximate message-passing algorithms for sparse linear estimation problems in signal processing and coding theory

@article{Barbier2015StatisticalPA,
  title={Statistical physics and approximate message-passing algorithms for sparse linear estimation problems in signal processing and coding theory},
  author={Jean Barbier},
  journal={CoRR},
  year={2015},
  volume={abs/1511.01650}
}
This thesis is interested in the application of statistical physics methods and inference to signal processing and coding theory, more precisely, to sparse linear estimation problems. The main tools are essentially the graphical models and the approximate message-passing algorithm together with the cavity method (referred as the state evolution analysis in… CONTINUE READING