What is resolution? A statistical minimax testing perspective on superresolution microscopy
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Publication:2054497
DOI10.1214/20-AOS2037zbMath1483.62117arXiv2005.07450OpenAlexW3201885496MaRDI QIDQ2054497
Gytis Kulaitis, Frank Werner, Axel Munk
Publication date: 3 December 2021
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.07450
Parametric hypothesis testing (62F03) Image analysis in multivariate analysis (62H35) Applications of statistics in engineering and industry; control charts (62P30) Minimax procedures in statistical decision theory (62C20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
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Cites Work
- Quantum local asymptotic normality based on a new quantum likelihood ratio
- Super-resolution from noisy data
- The Le Cam distance between density estimation, Poisson processes and Gaussian white noise
- Statistical methodology in single-molecule experiments
- Statistical molecule counting in super-resolution fluorescence microscopy: towards quantitative nanoscopy
- Super-Resolution of Positive Sources: The Discrete Setup
- Inverse problems with Poisson data: statistical regularization theory, applications and algorithms
- Statistical and Information-Theoretic Analysis of Resolution in Imaging
- Image deblurring with Poisson data: from cells to galaxies
- Superresolution via Sparsity Constraints
- On the Stable Resolution Limit of Total Variation Regularization for Spike Deconvolution
- The detection and resolution of optical signals
- Statistical resolution limits and the complexified Crame/spl acute/r-Rao bound
- Towards a Mathematical Theory of Super‐resolution
- Testing Statistical Hypotheses
- Statistical Criteria for the Detection of Pulsed Carriers in Noise. I
