Approximate Message Passing

Bayesian methods for sparse signal recovery with automatic hyperparameter estimation

Approximate Message Passing with Built-in Parameter Estimation

Under the Bayesian framework, the signal x follows a sparsity-promoting distribution. The distribution parameters are treated as unknown variables and jointly recovered with the signal via Approximate Message Passing (Huang et al., 2022).

The proposed AMP-PE framework.

References

2022

  1. TSP
    AMP_PE.png
    Approximate Message Passing With Parameter Estimation for Heavily Quantized Measurements
    Shuai Huang, Deqiang Qiu, and Trac D. Tran
    IEEE Transactions on Signal Processing, 2022