Almanac: Weak Lensing power spectra and map inference on the masked sphere

Abstract

We present a field-based signal extraction of weak lensing from noisy observations on the curved and masked sky. We test the analysis on a simulated Euclid-like survey, using a Euclid-like mask and noise level. To make optimal use of the information available in such a galaxy survey, we present a Bayesian method for inferring the angular power spectra of the weak lensing fields, together with an inference of the noise-cleaned tomographic weak lensing shear and convergence (projected mass) maps. The latter can be used for field-level inference with the aim of extracting cosmological parameter information including non-gaussianity of cosmic fields. We jointly infer all-sky $E$-mode and $B$-mode tomographic auto- and cross-power spectra from the masked sky, and potentially parity-violating $EB$-mode power spectra, up to a maximum multipole of ${\ell }_{\max }=2048$. We use Hamiltonian Monte Carlo sampling, inferring simultaneously the power spectra and denoised maps with a total of $\sim 16.8$ million free parameters. The main output and natural outcome is the set of samples of the posterior, which does not suffer from leakage of power from $E$ to $B$ unless reduced to point estimates. However, such point estimates of the power spectra, the mean and most likely maps, and their variances and covariances, can be computed if desired.

arXiv comment18 pages, 16 figures - small changes in response to helpful comments from a referee

References in corpus (60)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• MCMC using Hamiltonian dynamics
• Weak Gravitational Lensing
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Intrinsic and Extrinsic Galaxy Alignment
• Estimating the Power Spectrum of the Cosmic Microwave Background
• A unified pseudo-$C_{\ell }$ framework
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Modeling Uncertainty
• The Skewness of the Aperture Mass Statistic
• Bayesian physical reconstruction of initial conditions from large scale structure surveys
• Cosmology with Weak Lensing Surveys
• Core Cosmology Library: Precision Cosmological Predictions for LSST
• Galaxy alignments: An overview
• Intrinsic Correlation of Galaxy Shapes: Implications for Weak Lensing Measurements
• Parameter inference with estimated covariance matrices
• The first-year shear catalog of the Subaru Hyper Suprime-Cam SSP Survey
• Fast estimation of polarization power spectra using correlation functions
• Global, Exact Cosmic Microwave Background Data Analysis Using Gibbs Sampling
• Power spectrum estimation from high-resolution maps by Gibbs sampling
• Simultaneous measurement of cosmology and intrinsic alignments using joint cosmic shear and galaxy number density correlations
• Potential sources of contamination to weak lensing measurements: constraints from N-body simulations
• A non-linear solution to the $S_8$ tension?
• Galaxy alignments: Observations and impact on cosmology
• Galaxy alignments: Theory, modelling and simulations
• E/B decomposition of finite pixelized CMB maps
• Weak lensing analysis in three dimensions
• Lensed CMB simulation and parameter estimation
• CFHTLenS: Mapping the Large Scale Structure with Gravitational Lensing
• COSEBIs: Extracting the full E-/B-mode information from cosmic shear correlation functions
• Fast Hamiltonian sampling for large scale structure inference
• Galaxy orientation with the cosmic web across cosmic time
• Dark Energy Survey Year 1 Results: Curved-Sky Weak Lensing Mass Map
• Dark Energy Survey Year 3 results: curved-sky weak lensing mass map reconstruction
• Maximum-entropy weak lens reconstruction: improved methods and application to data
• Assessing tension metrics with Dark Energy Survey and Planck data
• Libsharp - spherical harmonic transforms revisited
• Hierarchical Cosmic Shear Power Spectrum Inference
• Estimation of Polarized Power Spectra by Gibbs sampling
• Fast optimal CMB power spectrum estimation with Hamiltonian sampling
• Cosmological parameters, shear maps and power spectra from CFHTLenS using Bayesian hierarchical inference
• Cosmic shear power spectra in practice
• Efficient Cosmological Parameter Estimation with Hamiltonian Monte Carlo
• On the insufficiency of arbitrarily precise covariance matrices: non-Gaussian weak lensing likelihoods
• The non-Gaussianity of the cosmic shear likelihood - or: How odd is the Chandra Deep Field South?
• Optimal CMB Lensing Reconstruction and Parameter Estimation with SPTpol Data
• Euclid: The importance of galaxy clustering and weak lensing cross-correlations within the photometric Euclid survey
• Diagnosing Suboptimal Cotangent Disintegrations in Hamiltonian Monte Carlo
• The skewed weak lensing likelihood: why biases arise, despite data and theory being sound
• KiDS & Euclid: Cosmological implications of a pseudo angular power spectrum analysis of KiDS-1000 cosmic shear tomography
• Bayesian forward modelling of cosmic shear data
• A Markov Chain Monte Carlo Algorithm for analysis of low signal-to-noise CMB data
• Methods for pixel domain correction of EB leakage
• Spherical Bayesian mass-mapping with uncertainties: full sky observations on the celestial sphere
• Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses
• Cosmology from weak lensing alone and implications for the Hubble tension
• On the initial shear field of the cosmic web
• Euclid: Covariance of weak lensing pseudo-$C_{\ell }$ estimates. Calculation, comparison to simulations, and dependence on survey geometry
• KaRMMa 2.0 -- Kappa Reconstruction for Mass Mapping

Cited by in corpus (9)

• CosmoPower-JAX: high-dimensional Bayesian inference with differentiable cosmological emulators
• KiDS-SBI: Simulation-based inference analysis of KiDS-1000 cosmic shear
• Accurate field-level weak lensing inference for precision cosmology
• Euclid preparation. LIX. Angular power spectra from discrete observations
• Almanac: MCMC-based signal extraction of power spectra and maps on the sphere
• Stage IV baryonic feedback correction for non-Gaussianity inference
• Map-level baryonification: unified treatment of weak lensing two-point and higher-order statistics
• Hybrid summary statistics: neural weak lensing inference beyond the power spectrum
• Diagnosing Systematic Effects Using the Inferred Initial Power Spectrum