Fast generation of weak lensing maps by the inverse-Gaussianization method

Abstract

To take full advantage of the unprecedented power of upcoming weak lensing surveys, understanding the noise, such as cosmic variance and geometry/mask effects, is as important as understanding the signal itself. Accurately quantifying the noise requires a large number of statistically independent mocks for a variety of cosmologies. This is impractical for weak lensing simulations, which are costly for simultaneous requirements of large box size (to cover a significant fraction of the past light cone) and high resolution (to robustly probe the small scale where most lensing signal resides). Therefore fast mock generation methods are desired and are under intensive investigation. We propose a new fast weak lensing map generation method, named the inverse-Gaussianization method, based on the finding that a lensing convergence field can be Gaussianized to excellent accuracy by a local transformation [Yu et al, Phys. Rev. D 84, 023523 (2011)]. Given a simulation, it enables us to produce as many as infinite statistically independent lensing maps as fast as producing the simulation initial conditions. The proposed method is tested against simulations for each tomography bin centered at lens redshift $z\sim 0.5$, 1, and 2, with various statistics. We find that the lensing maps generated by our method have reasonably accurate power spectra, bispectra, and power spectrum covariance matrix. Therefore, it will be useful for weak lensing surveys to generate realistic mocks. As an example of application, we measure the probability distribution function of the lensing power spectrum, from 16384 lensing maps produced by the inverse-Gaussianization method.

14 pages, 8 figures, 1 table, matched publication

References in corpus (56)

• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
• Solving Large Scale Structure in Ten Easy Steps with COLA
• The Skewness of the Aperture Mass Statistic
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues
• Power Spectrum Super-Sample Covariance
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• PINOCCHIO: pinpointing orbit-crossing collapsed hierarchical objects in a linear density field
• The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• EZmocks: extending the Zel'dovich approximation to generate mock galaxy catalogues with accurate clustering statistics
• Super-Sample Covariance in Simulations
• PTHalos: A fast method for generating mock galaxy distributions
• Mock galaxy catalogs using the quick particle mesh method
• The dependence of dark halo clustering on the formation epoch and the concentration parameter
• The Impact of Non-Gaussian Errors on Weak Lensing Surveys
• CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
• Improving lognormal models for cosmological fields
• Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
• On measuring the covariance matrix of the nonlinear power spectrum from simulations
• An accurate tool for the fast generation of dark matter halo catalogs
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Dependence of cosmic shear covariances on cosmology - Impact on parameter estimation
• Information content of the non-linear matter power spectrum
• Cosmological Structure Formation with Augmented Lagrangian Perturbation Theory
• Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey
• ICE-COLA: Towards fast and accurate synthetic galaxy catalogues optimizing a quasi $N$-body method
• Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects
• Detection of dark matter Skewness in the VIRMOS-DESCART survey: Implications for Ω_0
• Estimating Cosmological Parameter Covariance
• Information content of the non-linear power spectrum: the effect of beat-coupling to large scales
• Noisy weak-lensing convergence peak statistics near clusters of galaxies and beyond
• Simulations of Weak Gravitational Lensing - II : Including Finite Support Effects in Cosmic Shear Covariance Matrices
• Cosmic variance of weak lensing surveys in the non-Gaussian regime
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the low-redshift sample
• HALOGEN: A tool for fast generation of mock halo catalogues
• Performance of internal Covariance Estimators for Cosmic Shear Correlation Functions
• Information content in the halo-model dark-matter power spectrum
• Gravitational Lensing Simulations I : Covariance Matrices and Halo Catalogues
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• Matter Power Spectrum Covariance Matrix from the DEUS-PUR ΛCDM simulations: Mass Resolution and non-Gaussian Errors
• Re-capturing cosmic information
• Information content in the halo-model dark-matter power spectrum II: Multiple cosmological parameters
• Information Content in the Galaxy Angular Power Spectrum from the Sloan Digital Sky Survey and Its Implication on Weak Lensing Analysis
• From Finance to Cosmology: The Copula of Large-Scale Structure
• A Robust Measure of Cosmic Structure beyond the Power-Spectrum: Cosmic Filaments and the Temperature of Dark Matter
• A fitting formula for the non-Gaussian contribution to the lensing power spectrum covariance
• Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization
• An optimal survey geometry of weak lensing survey: minimizing super-sample covariance
• Dark Energy from the log-transformed convergence field
• A determination of dark matter bispectrum with a large set of N-body simulations
• Simulating the Effect of Non-Linear Mode-Coupling in Cosmological Parameter Estimation
• Gaussianizing the non-Gaussian lensing convergence field II: the applicability to noisy data
• On fast Generation of Cosmological Random Fields
• The impact of super-survey modes on cosmological constraints from cosmic shear fields

Cited by in corpus (10)

• ICE-COLA: fast simulations for weak lensing observables
• Statistical connection of peak counts to power spectrum and moments in weak lensing field
• Detection of cross-correlation between CMB Lensing and low-density points
• The copula of the cosmological matter density field is non-Gaussian
• The Weak Lensing Peak Statistics in the Mocks by the inverse-Gaussianization Method
• Neural style transfer of weak lensing mass maps
• Numerical investigation of non-Gaussianities in the phase and modulus of density Fourier modes
• Accurate Power Spectrum Estimation toward Nyquist limit
• About One-point Statistics of the Ratio of Two Fourier-transformed Cosmic Fields and an Application
• Generative modeling of convergence maps based on predicted one-point statistics