SparsePR: Matlab Software for Sparse Phase Retrieval. This repository contains Matlab code for solving the sparse phase retrieval problem. Details of the method, theoretical guarantees and representative numerical results can be found in: Robust Sparse Phase Retrieval Made Easy, Mark Iwen, Aditya Viswanthan and Yang Wang: In this short note we propose a simple two-stage sparse phase retrieval strategy that uses a near-optimal number of measurements, and is both computationally efficient and robust to measurement noise. In addition, the proposed strategy is fairly general, allowing for a large number of new measurement constructions and recovery algorithms to be designed with minimal effort.

References in zbMATH (referenced in 18 articles , 1 standard article )

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  1. Cai, Jian-Feng; Li, Jingzhi; Lu, Xiliang; You, Juntao: Sparse signal recovery from phaseless measurements via hard thresholding pursuit (2022)
  2. Li, Huiping; Li, Song: Phase retrieval from Fourier measurements with masks (2021)
  3. Preskitt, Brian; Saab, Rayan: Admissible measurements and robust algorithms for ptychography (2021)
  4. Sun, Wenchang: Local and global phaseless sampling in real spline spaces (2021)
  5. Xia, Yu; Xu, Zhiqiang: The recovery of complex sparse signals from few phaseless measurements (2021)
  6. Aldroubi, Akram; Krishtal, I.; Tang, S.: Phaseless reconstruction from space-time samples (2020)
  7. Foucart, Simon: Sampling schemes and recovery algorithms for functions of few coordinate variables (2020)
  8. Foucart, Simon; Gribonval, Rémi; Jacques, Laurent; Rauhut, Holger: Jointly low-rank and bisparse recovery: questions and partial answers (2020)
  9. Li, Hui-ping; Li, Song: Phase retrieval with PhaseLift algorithm (2020)
  10. Cai, Jian-Feng; Liu, Haixia; Wang, Yang: Fast rank-one alternating minimization algorithm for phase retrieval (2019)
  11. Geppert, Jakob; Krahmer, Felix; Stöger, Dominik: Sparse power factorization: balancing peakiness and sample complexity (2019)
  12. Chang, Huibin; Marchesini, Stefano; Lou, Yifei; Zeng, Tieyong: Variational phase retrieval with globally convergent preconditioned proximal algorithm (2018)
  13. Bodmann, Bernhard G.; Hammen, Nathaniel: Algorithms and error bounds for noisy phase retrieval with low-redundancy frames (2017)
  14. Foucart, Simon: Flavors of compressive sensing (2017)
  15. Iwen, Mark; Viswanathan, Aditya; Wang, Yang: Robust sparse phase retrieval made easy (2017)
  16. Bahmani, Sohail; Romberg, Justin: Near-optimal estimation of simultaneously sparse and low-rank matrices from nested linear measurements (2016)
  17. Gao, Bing; Wang, Yang; Xu, Zhiqiang: Stable signal recovery from phaseless measurements (2016)
  18. Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang: Fast phase retrieval from local correlation measurements (2016)