Spectral method for low-dose Poisson and Bernoulli phase retrieval
Information Theory
2025-02-20 v1 math.IT
Probability
Abstract
We consider the problem of phaseless reconstruction from measurements with Poisson or Bernoulli distributed noise. This is of particular interest in biological imaging experiments where a low dose of radiation has to be used to mitigate potential damage of the specimen, resulting in low observed particle counts. We derive recovery guarantees for the spectral method for these noise models in the case of Gaussian measurements. Our results give a quantitative insight in the trade-off between the employed radiation dose per measurement and the overall sampling complexity.
Keywords
Cite
@article{arxiv.2502.13263,
title = {Spectral method for low-dose Poisson and Bernoulli phase retrieval},
author = {Sjoerd Dirksen and Felix Krahmer and Patricia Römer and Palina Salanevich},
journal= {arXiv preprint arXiv:2502.13263},
year = {2025}
}