TY - GEN
T1 - Robust Phase Retrieval with Outliers
AU - Jiang, Xue
AU - So, Hing Cheung
AU - Liu, Xingzhao
PY - 2020/5
Y1 - 2020/5
N2 - An outlier-resistance phase retrieval algorithm based on alternating direction method of multipliers (ADMM) is devised in this paper. Instead of the widely used least squares criterion that is only optimal for Gaussian noise environment, we adopt the least absolute deviation criterion to enhance the robustness against outliers. Considering both intensityand amplitude-based observation models, the framework of ADMM is developed to solve the resulting non-differentiable optimization problems. It is demonstrated that the core subproblem of ADMM is the proximity operator of the ℓ1-norm, which can be computed efficiently by soft-thresholding in each iteration. Simulation results are provided to validate the accuracy and efficiency of the proposed approach compared to the existing schemes.
AB - An outlier-resistance phase retrieval algorithm based on alternating direction method of multipliers (ADMM) is devised in this paper. Instead of the widely used least squares criterion that is only optimal for Gaussian noise environment, we adopt the least absolute deviation criterion to enhance the robustness against outliers. Considering both intensityand amplitude-based observation models, the framework of ADMM is developed to solve the resulting non-differentiable optimization problems. It is demonstrated that the core subproblem of ADMM is the proximity operator of the ℓ1-norm, which can be computed efficiently by soft-thresholding in each iteration. Simulation results are provided to validate the accuracy and efficiency of the proposed approach compared to the existing schemes.
KW - alternating direction method of multipliers (ADMM)
KW - least absolute deviation.
KW - outlier
KW - Phase retrieval
KW - alternating direction method of multipliers (ADMM)
KW - least absolute deviation.
KW - outlier
KW - Phase retrieval
KW - alternating direction method of multipliers (ADMM)
KW - least absolute deviation.
KW - outlier
KW - Phase retrieval
UR - https://www.scopus.com/pages/publications/85089227113
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85089227113&origin=recordpage
U2 - 10.1109/ICASSP40776.2020.9053060
DO - 10.1109/ICASSP40776.2020.9053060
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9781509066322
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 5320
EP - 5324
BT - 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020 - Proceedings
PB - IEEE
T2 - 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020
Y2 - 4 May 2020 through 8 May 2020
ER -