Dynamics and termination cost of spatially coupled mean-field models

@article{Caltagirone2014DynamicsAT,
  title={Dynamics and termination cost of spatially coupled mean-field models},
  author={Francesco Caltagirone and Silvio Franz and Richard Morris and Lenka Zdeborov{\'a}},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={89 1},
  pages={
          012102
        }
}
  • Francesco Caltagirone, Silvio Franz, +1 author Lenka Zdeborová
  • Published in
    Physical review. E…
    2014
  • Physics, Computer Science, Mathematics, Medicine
  • This work is motivated by recent progress in information theory and signal processing where the so-called spatially coupled design of systems leads to considerably better performance. We address relevant open questions about spatially coupled systems through the study of a simple Ising model. In particular, we consider a chain of Curie-Weiss models that are coupled by interactions up to a certain range. Indeed, it is well known that the pure (uncoupled) Curie-Weiss model undergoes a first-order… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 24 REFERENCES

    Chains of Mean Field Models

    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    Non-adaptive pooling strategies for detection of rare faulty items

    VIEW 2 EXCERPTS

    On the convergence speed of spatially coupled LDPC ensembles

    VIEW 2 EXCERPTS

    A simple proof of threshold saturation for coupled scalar recursions

    VIEW 1 EXCERPT

    Spatially Coupled Ensembles Universally Achieve Capacity Under Belief Propagation

    VIEW 1 EXCERPT