Efficient Bayesian Inference for Learning in the Ising Linear Perceptron and Signal Detection in CDMA

Details Efficient Bayesian Inference for Learning in the Ising Linear Perceptron and Signal Detection in CDMA Efficient Bayesian Inference for Learning in the Ising Linear Perceptron and Signal Detection in CDMA

2005-09-29

arxiv.org/abs/cond-mat/0509763v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 3 figures

Scientific paper

10.1016/j.physa.2006.01.020

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.

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