An accurate and practical method for inference of weak gravitational lensing from galaxy images

Abstract

We demonstrate highly accurate recovery of weak gravitational lensing shear using an implementation of the Bayesian Fourier Domain (BFD) method proposed by Bernstein & Armstrong (2014, BA14), extended to correct for selection biases. The BFD formalism is rigorously correct for Nyquist-sampled, background-limited, uncrowded image of background galaxies. BFD does not assign shapes to galaxies, instead compressing the pixel data D into a vector of moments M, such that we have an analytic expression for the probability P(M|g) of obtaining the observations with gravitational lensing distortion g along the line of sight. We implement an algorithm for conducting BFD's integrations over the population of unlensed source galaxies which measures ~10 galaxies/second/core with good scaling properties. Initial tests of this code on ~10^9 simulated lensed galaxy images recover the simulated shear to a fractional accuracy of m=0.0021+-0.0004, substantially more accurate than has been demonstrated previously for any generally applicable method. Deep sky exposures generate a sufficiently accurate approximation to the noiseless, unlensed galaxy population distribution assumed as input to BFD. Potential extensions of the method include simultaneous measurement of magnification and shear; multiple-exposure, multi-band observations; and joint inference of photometric redshifts and lensing tomography.

As accepted to MNRAS. Revision includes more accurate numerical testing and clearer exposition

References in corpus (11)

• COSMOS Photometric Redshifts with 30-bands for 2-deg2
• Gravitational Lensing Analysis of the Kilo Degree Survey
• The DES Science Verification Weak Lensing Shear Catalogues
• Systematic Bias in Cosmic Shear: Beyond the Fisher Matrix
• GREAT3 results I: systematic errors in shear estimation and the impact of real galaxy morphology
• CMB lensing tomography with the DES Science Verification galaxies
• An Implementation of Bayesian Lensing Shear Measurement
• Hierarchical probabilistic inference of cosmic shear
• Cross-correlation cosmic shear with the SDSS and VLA FIRST surveys
• On Combining Lensing Shear Information from Multiple Filters
• Building Unbiased Estimators from Non-Gaussian Likelihoods with Application to Shear Estimation

Cited by in corpus (54)

• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Modeling Uncertainty
• Weak lensing for precision cosmology
• CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics
• Practical Weak Lensing Shear Measurement with Metacalibration
• The first-year shear catalog of the Subaru Hyper Suprime-Cam SSP Survey
• Dark Energy Survey Year 3 Results: Weak Lensing Shape Catalogue
• Weak lensing shear calibration with simulations of the HSC survey
• Cluster Mass Calibration at High Redshift: HST Weak Lensing Analysis of 13 Distant Galaxy Clusters from the South Pole Telescope Sunyaev-Zel'dovich Survey
• DES Y3 results: Blending shear and redshift biases in image simulations
• Towards emulating cosmic shear data: Revisiting the calibration of the shear measurements for the Kilo-Degree Survey
• The three-year shear catalog of the Subaru Hyper Suprime-Cam SSP Survey
• Scientific Synergy Between LSST and Euclid
• Euclid Preparation IV. Impact of undetected galaxies on weak-lensing shear measurements
• Cosmology with the Large Synoptic Survey Telescope: an Overview
• Mitigating Shear-dependent Object Detection Biases with Metacalibration
• Approaching the Cramer-Rao Bound in Weak Lensing with PDF Symmetrization
• Large-scale structure perturbation theory without losing stream crossing
• Constraining the masses of high-redshift clusters with weak lensing: Revised shape calibration testing for the impact of stronger shears and increased blending
• Precise weak lensing constraints from deep high-resolution $K_{\mathrm{s}}$ images: VLT/HAWK-I analysis of the super-massive galaxy cluster RCS2$J$232727.7$-$020437 at $z=0.70$
• Point spread function modelling for astronomical telescopes: a review focused on weak gravitational lensing studies
• Fourier Power Function Shapelets (FPFS) Shear Estimator: Performance on Image Simulations
• The effect of detector nonlinearity on WFIRST PSF profiles for weak gravitational lensing measurements
• Testing PSF Interpolation In Weak Lensing With Real Data
• Analytical Weak-lensing Shear Responses of Galaxy Properties and Galaxy Detection
• Towards a Bias-Free Selection Function in Shear Measurement
• Measuring the scale dependence of intrinsic alignments using multiple shear estimates
• Weak lensing shear estimation beyond the shape-noise limit: a machine learning approach
• A General Framework for Removing Point Spread Function Additive Systematics in Cosmological Weak Lensing Analysis
• Weak-lensing shear estimates with general adaptive moments, and studies of bias by pixellation, PSF distortions, and noise
• Simulating image coaddition with the Nancy Grace Roman Space Telescope: I. Simulation methodology and general results
• Metadetection Weak Lensing for the Vera C. Rubin Observatory
• Euclid preparation. LIII. LensMC, weak lensing cosmic shear measurement with forward modelling and Markov Chain Monte Carlo sampling
• Noise from Undetected Sources in Dark Energy Survey Images
• Testing the Impact of Satellite Anisotropy on Large and Small Scale Intrinsic Alignments using Hydrodynamical Simulations
• Forklens: Accurate weak-lensing shear measurement with deep learning
• A Differentiable Perturbation-based Weak Lensing Shear Estimator
• Dark Energy Survey Year 6 Results: Cell-based Coadds and Metadetection Weak Lensing Shape Catalogue
• Mitigating the Noise-Source Coupling Effect in Shear Measurement
• Analytical Noise Bias Correction for Weak Lensing Shear Analysis with ERA
• Shear Nulling after PSF Gaussianisation: moment-based weak lensing measurements with subpercent noise bias
• A Cohesive Deep Drilling Field Strategy for LSST Cosmology
• Cosmic shear measurement with maximum likelihood and maximum a posteriori inference
• Analysis of biasing from noise from the Nancy Grace Roman Space Telescope: implications for weak lensing
• Deep-field Metacalibration
• Tele-Correlation: Calibrating Shear-Shear Correlation with Real Data
• Dark Energy Survey Year 3 Results: Deep Field Optical + Near-Infrared Images and Catalogue
• The Effects of Calibration on the Bias of Shear Measurements
• Analytical Noise Bias Correction for Precise Weak Lensing Shear Inference
• FPFS Shear Estimator: Systematic Tests on the Hyper Suprime-Cam Survey First Year Data
• Removing the Impact of Correlated PSF Uncertainties in Weak Lensing
• Impact of PSF misestimation and galaxy population bias on precision shear measurement using a CNN
• Impact of Point Spread Function Higher Moments Error on Weak Gravitational Lensing
• Weak gravitational lensing shear measurement with FPFS: analytical mitigation of noise bias and selection bias
• Dark Energy Survey Year 3 results: Cosmology with peaks using an emulator approach