Slay the Shear: A Unified Statistical Framework for Weak Gravitational Lensing Shear Estimation

arXiv:2606.25596 · astro-ph.CO, astro-ph.IM · Submitted 2026-06-24 · Read on arXiv

Shurui Lin, Xiangchong Li, Xin Liu

astro-ph.CO, astro-ph.IM

Submitted: 2026-06-24

Comments: 24 pages, 4 figures, and 3 tables. Submitting to APJ

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Score Function — 38× in this paper · explained in 4 episodes
• Gravitational Lensing — 17× in this paper · explained in 2 episodes
• Calibration — 14× in this paper · explained in 7 episodes
• Fisher Information — 10× in this paper · explained in 3 episodes
• Response-weighted Denoising Score Matching — 6× in this paper
• Alignment — 3× in this paper · explained in 1 episode
• Trace — 3× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Selection Bias — 2× in this paper · explained in 4 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• Bayesian Framework — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Data Augmentation — 1× in this paper · explained in 7 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Multi-objective Optimization — 1× in this paper · explained in 4 episodes
• Over-smoothing — 1× in this paper · explained in 4 episodes
• Weak Lensing — 1× in this paper · explained in 2 episodes

Sources

• D$_4$CNN$\times$AnaCal: Physics-Informed Machine Learning for Accurate and Precise Weak Lensing Shear Estimation
• Euclid. I. Overview of the Euclid mission
• Gaussian Error Linear Units (GELUs)
• Metacalibration: Direct Self-Calibration of Biases in Shear Measurement
• Analytical weak-lensing shear response of galaxy model fitting
• Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report

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