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Efficient Bayesian inference for learning in the Ising linear perceptron and signal detection in CDMA

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  • Neirotti, Juan P.
  • Saad, David

Abstract

Efficient new Bayesian inference technique is employed for studying critical properties of the Ising linear perceptron and for signal detection in code division multiple access (CDMA). The approach is based on a recently introduced message passing technique for densely connected systems. Here we study both critical and non-critical regimes. Results obtained in the non-critical regime give rise to a highly efficient signal detection algorithm in the context of CDMA; while in the critical regime one observes a first-order transition line that ends in a continuous phase transition point. Finite size effects are also studied.

Suggested Citation

  • Neirotti, Juan P. & Saad, David, 2006. "Efficient Bayesian inference for learning in the Ising linear perceptron and signal detection in CDMA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 203-210.
  • Handle: RePEc:eee:phsmap:v:365:y:2006:i:1:p:203-210
    DOI: 10.1016/j.physa.2006.01.020
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    Cited by:

    1. Gzyl, Henryk & ter Horst, Enrique & Molina, German, 2015. "Application of the method of maximum entropy in the mean to classification problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 101-108.

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    Keywords

    Communication theory; Bayesian inference;

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