Recovery guarantees for low-count Poisson and Bernoulli phase retrieval

Sjoerd Dirksen; Felix Krahmer; Patricia Römer; Palina Salanevich

doi:10.1109/sampta64769.2025.11133548

Recovery guarantees for low-count Poisson and Bernoulli phase retrieval

Sjoerd Dirksen
, Felix Krahmer
, Patricia Römer
, Palina Salanevich

Sub Mathematical Modeling

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In low-dose microscopy, noisy phaseless measurements can be modeled as Poisson or Bernoulli random variables. In this paper, we propose a spectral method for this phase retrieval setup and derive reconstruction guarantees for both noise models with Gaussian measurements. Furthermore, we study how the reconstruction error depends on the radiation dose used for the measurements and on the oversampling ratio.

Original language	English
Title of host publication	2025 International Conference on Sampling Theory and Applications (SampTA)
Publisher	IEEE
DOIs	https://doi.org/10.1109/sampta64769.2025.11133548
Publication status	Published - 28 Jul 2025

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10.1109/sampta64769.2025.11133548

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title = "Recovery guarantees for low-count Poisson and Bernoulli phase retrieval",

abstract = "In low-dose microscopy, noisy phaseless measurements can be modeled as Poisson or Bernoulli random variables. In this paper, we propose a spectral method for this phase retrieval setup and derive reconstruction guarantees for both noise models with Gaussian measurements. Furthermore, we study how the reconstruction error depends on the radiation dose used for the measurements and on the oversampling ratio.",

author = "Sjoerd Dirksen and Felix Krahmer and Patricia R{\"o}mer and Palina Salanevich",

year = "2025",

month = jul,

day = "28",

doi = "10.1109/sampta64769.2025.11133548",

language = "English",

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T1 - Recovery guarantees for low-count Poisson and Bernoulli phase retrieval

AU - Dirksen, Sjoerd

AU - Krahmer, Felix

AU - Römer, Patricia

AU - Salanevich, Palina

PY - 2025/7/28

Y1 - 2025/7/28

N2 - In low-dose microscopy, noisy phaseless measurements can be modeled as Poisson or Bernoulli random variables. In this paper, we propose a spectral method for this phase retrieval setup and derive reconstruction guarantees for both noise models with Gaussian measurements. Furthermore, we study how the reconstruction error depends on the radiation dose used for the measurements and on the oversampling ratio.

AB - In low-dose microscopy, noisy phaseless measurements can be modeled as Poisson or Bernoulli random variables. In this paper, we propose a spectral method for this phase retrieval setup and derive reconstruction guarantees for both noise models with Gaussian measurements. Furthermore, we study how the reconstruction error depends on the radiation dose used for the measurements and on the oversampling ratio.

U2 - 10.1109/sampta64769.2025.11133548

DO - 10.1109/sampta64769.2025.11133548

M3 - Conference contribution

BT - 2025 International Conference on Sampling Theory and Applications (SampTA)

PB - IEEE

ER -

Recovery guarantees for low-count Poisson and Bernoulli phase retrieval

Abstract

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