mlsanityData to 7 Oct 2026

Phase Retrieval from Coded Diffraction Patterns

arXiv 1310.3240 ↗First posted 11 Oct 2013cs.IT cs.NA math.FAcited by 26

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Abstract (arXiv)

This paper considers the question of recovering the phase of an object from intensity-only measurements, a problem which naturally appears in X-ray crystallography and related disciplines. We study a physically realistic setup where one can modulate the signal of interest and then collect the intensity of its diffraction pattern, each modulation thereby producing a sort of coded diffraction pattern. We show that PhaseLift, a recent convex programming technique, recovers the phase information exactly from a number of random modulations, which is polylogarithmic in the number of unknowns. Numerical experiments with noiseless and noisy data complement our theoretical analysis and illustrate our approach.

Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). First posted on arXiv 11 Oct 2013.

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Citing papers per year: 2021: 4; 2022: 8; 2023: 4; 2024: 2; 2025: 6; 2026: 2.

26 papers.

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  1. 2024Principled Probabilistic Imaging using Diffusion Models as Plug-and-Play Priorscited by 93
  2. 2023Learning to Warm-Start Fixed-Point Optimization Algorithmscited by 32
  3. 2022Convergence of gradient descent for deep neural networkscited by 24
  4. 2025Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approachcited by 18
  5. 2022Randomly Initialized Alternating Least Squares: Fast Convergence for Matrix Sensingcited by 11
  6. 2022SiSPRNet: End-to-End Learning for Single-Shot Phase Retrievalcited by 7
  7. 2023Spectral Estimators for Structured Generalized Linear Models via Approximate Message Passingcited by 5
  8. 2022DOLPH: Diffusion Models for Phase Retrievalcited by 4
  9. 2023PRISTA-Net: Deep Iterative Shrinkage Thresholding Network for Coded Diffraction Patterns Phase Retrievalcited by 3
  10. 2021Total Least Squares Phase Retrievalcited by 2
  11. 2022Provable Phase Retrieval with Mirror Descentcited by 2
  12. 2024Fast and Robust Phase Retrieval via Deep Expectation-Consistent Approximationcited by 2
14 more
  1. 2021On Stochastic Variance Reduced Gradient Method for Semidefinite Optimizationcited by 1
  2. 2021Provably Convergent Algorithms for Solving Inverse Problems Using Generative Modelscited by 1
  3. 2021Coded Illumination for Improved Lensless Imagingcited by 1
  4. 2025Solving Inverse Problems using Diffusion with Iterative Colored Renoisingcited by 1
  5. 2022Unfolding-Aided Bootstrapped Phase Retrieval in Optical Imagingcited by 0
  6. 2022Convex Augmentation for Total Variation Based Phase Retrievalcited by 0
  7. 2022Towards Practical Single-shot Phase Retrieval with Physics-Driven Deep Neural Networkcited by 0
  8. 2023Single-shot Phase Retrieval from a Fractional Fourier Transform Perspectivecited by 0
  9. 2025Phase transition of descending phase retrieval algorithmscited by 0
  10. 2025Optimal spectral initializers impact on phase retrieval phase transitions -- an RDT viewcited by 0
  11. 2025Phase retrieval with rank d measurements -- descending algorithms phase transitionscited by 0
  12. 2025DLMMPR:Deep Learning-based Measurement Matrix for Phase Retrievalcited by 0
  13. 2026Pupil Design for Computational Wavefront Estimationcited by 0
  14. 2026Convex Basins in Single-Index Model Loss Landscapes: Applications to Robust Recovery under Strong Adversarial Corruptioncited by 0