Cosmological inference from Bayesian forward modelling of deep galaxy redshift surveys

Abstract

We present a large-scale Bayesian inference framework to constrain cosmological parameters using galaxy redshift surveys, via an application of the Alcock-Paczyński (AP) test. Our physical model of the non-linearly evolved density field, as probed by galaxy surveys, employs Lagrangian perturbation theory (LPT) to connect Gaussian initial conditions to the final density field, followed by a coordinate transformation to obtain the redshift space representation for comparison with data. We generate realizations of primordial and present-day matter fluctuations given a set of observations. This hierarchical approach encodes a novel AP test, extracting several orders of magnitude more information from the cosmological expansion compared to classical approaches, to infer cosmological parameters and jointly reconstruct the underlying 3D dark matter density field. The novelty of this AP test lies in constraining the comoving-redshift transformation to infer the appropriate cosmology which yields isotropic correlations of the galaxy density field, with the underlying assumption relying purely on the cosmological principle. Such an AP test does not rely explicitly on modelling the full statistics of the field. We verify in depth via simulations that this renders our test robust to model misspecification. This leads to another crucial advantage, namely that the cosmological parameters exhibit extremely weak dependence on the currently unresolved phenomenon of galaxy bias, thereby circumventing a potentially key limitation. This is consequently among the first methods to extract a large fraction of information from statistics other than that of direct density contrast correlations, without being sensitive to the amplitude of density fluctuations. We perform several statistical efficiency and consistency tests on a mock galaxy catalogue, using the SDSS-III survey as template.

arXiv comment11 + 7 pages, 13 figures. Accepted for publication in A&A

References in corpus (71)

• Planck 2015 results. XIII. Cosmological parameters
• The Sloan Digital Sky Survey: Technical Summary
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Seventh Data Release of the Sloan Digital Sky Survey
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• The Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III
• Baryonic Features in the Matter Transfer Function
• The 3D power spectrum of galaxies from the SDSS
• The 6dF Galaxy Survey: Final Redshift Release (DR3) and Southern Large-Scale Structures
• Cosmology and Fundamental Physics with the Euclid Satellite
• The Tenth Data Release of the Sloan Digital Sky Survey: First Spectroscopic Data from the SDSS-III Apache Point Observatory Galactic Evolution Experiment
• Cluster Abundance Constraints on Quintessence Models
• Power Spectra for Cold Dark Matter and its Variants
• Large-Scale Galaxy Bias
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• Probing dark energy using baryonic oscillations in the galaxy power spectrum as a cosmological ruler
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Inflationary Cosmology
• Measuring the cosmological constant with redshift surveys
• Bayesian physical reconstruction of initial conditions from large scale structure surveys
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
• Precision cosmography with stacked voids
• PTHalos: A fast method for generating mock galaxy distributions
• The Bispectrum: From Theory to Observations
• Constraints on Cosmology and Gravity from the Dynamics of Voids
• Reconstructed Density and Velocity Fields from the 2MASS Redshift Survey
• How isotropic is the Universe?
• The WiggleZ Dark Energy Survey: measuring the cosmic expansion history using the Alcock-Paczynski test and distant supernovae
• Cosmological Redshift Distortion of Correlation Functions as a Probe of the Density Parameter and the Cosmological Constant
• Probability Distribution Function of Cosmological Density Fluctuations from Gaussian Initial Condition: Comparison of One- and Two-point Log-normal Model Predictions with N-body Simulations
• A first application of the Alcock-Paczynski test to stacked cosmic voids
• Wiener Reconstruction of Large-Scale Structure from Peculiar Velocities
• Bayesian reconstruction of the cosmological large-scale structure: methodology, inverse algorithms and numerical optimization
• Probing cosmology and gravity with redshift-space distortions around voids
• Fast Hamiltonian sampling for large scale structure inference
• Constraining Anisotropic Baryon Oscillations
• Past and present cosmic structure in the SDSS DR7 main sample
• Bayesian power-spectrum inference for Large Scale Structure data
• Measuring q_0 from the Distortion of Voids in Redshift Space
• A measurement of the Alcock-Paczynski effect using cosmic voids in the SDSS
• Measuring the cosmic evolution of dark energy with baryonic oscillations in the galaxy power spectrum
• Bayesian non-linear large scale structure inference of the Sloan Digital Sky Survey data release 7
• The 2dF Galaxy Redshift Survey: Wiener Reconstruction of the Cosmic Web
• Wiener Reconstruction of Galaxy Surveys in Spherical Harmonics
• Unmasking the Masked Universe: the 2M++ catalogue through Bayesian eyes
• A Geometrical Test of the Cosmological Energy Contents Using the Lyman-alpha Forest
• Cosmic Cartography of the Large-Scale Structure with Sloan Digital Sky Survey Data Release 6
• Recovering the nonlinear density field from the galaxy distribution with a Poisson-Lognormal filter
• Extracting Angular Diameter Distance and Expansion Rate of the Universe from Two-dimensional Galaxy Power Spectrum at High Redshifts: Baryon Acoustic Oscillation Fitting versus Full Modeling
• Fast optimal CMB power spectrum estimation with Hamiltonian sampling
• A halo bias function measured deeply into voids without stochasticity
• Methods for Bayesian power spectrum inference with galaxy surveys
• Multiscale Inference of Matter Fields and Baryon Acoustic Oscillations from the Ly-alpha Forest
• Bayesian inference from photometric redshift surveys
• The Alcock-Paczynski test in redshifted twenty one centimeter maps
• Wiener Reconstruction of the IRAS 1.2Jy Galaxy Redshift Survey: Cosmographical Implications
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: application to the SDSS-III BOSS DR12 galaxies
• Testing cosmic geometry without dynamic distortions using voids
• On density and velocity fields and beta from the IRAS PSCz survey
• Alcock-Paczynski cosmological test
• Non-linear Constrained Realizations of the Large Scale Structure
• Separating out the Alcock-Paczynski Effect on 21cm Fluctuations
• Matrix-free Large Scale Bayesian inference in cosmology
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test: galaxy density gradient field
• Quasar Clustering and Spacetime Geometry
• Unbiased Reconstruction of the Large Scale Structure
• Constrained realizations and minimum variance reconstruction of non-Gaussian random fields
• Non-Gaussian gravitational clustering field statistics
• Sensitivity of Redshift Distortion Measurements to Cosmological Parameters

Cited by in corpus (45)

• Physical Bayesian modelling of the non-linear matter distribution: new insights into the Nearby Universe
• Super-resolution emulator of cosmological simulations using deep physical models
• Bayesian delensing delight: sampling-based inference of the primordial CMB and gravitational lensing
• How much information can be extracted from galaxy clustering at the field level?
• An $n$-th order Lagrangian Forward Model for Large-Scale Structure
• Lifting weak lensing degeneracies with a field-based likelihood
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• Bayesian field-level inference of primordial non-Gaussianity using next-generation galaxy surveys
• Cosmology Inference from Biased Tracers using the EFT-based Likelihood
• ADDGALS: Simulated Sky Catalogs for Wide Field Galaxy Surveys
• Bayesian forward modelling of cosmic shear data
• Painting halos from cosmic density fields of dark matter with physically motivated neural networks
• Information Content of Higher-Order Galaxy Correlation Functions
• Machine Learning for Observational Cosmology
• Inferring high redshift large-scale structure dynamics from the Lyman-alpha forest
• Impacts of the physical data model on the forward inference of initial conditions from biased tracers
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Non-parametric dark energy reconstruction using the tomographic Alcock-Paczynski test
• Cosmological information content in redshift-space power spectrum of SDSS-like galaxies in the quasi-nonlinear regime up to $k=0.3h$Mpc${}^{-1}$
• Neural physical engines for inferring the halo mass distribution function
• Bayesian Inference of Initial Conditions from Non-Linear Cosmic Structures using Field-Level Emulators
• Explicit Bayesian treatment of unknown foreground contaminations in galaxy surveys
• Cosmic Velocity Field Reconstruction Using AI
• Field-level inference of galaxy intrinsic alignment from the SDSS-III BOSS survey
• A hierarchical field-level inference approach to reconstruction from sparse Lyman-$\alpha$ forest data
• Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy
• BAO scale inference from biased tracers using the EFT likelihood
• The Sejong Suite: Cosmological Hydrodynamical Simulations with Massive Neutrinos, Dark Radiation, and Warm Dark Matter
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• Cosmic Cartography: Bayesian reconstruction of the galaxy density informed by large-scale structure
• Optimal machine-driven acquisition of future cosmological data
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• Field-level multiprobe analysis of the CMB, integrated Sachs-Wolfe effect, and the galaxy density maps
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Fourier space analysis
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Possibility of estimateing the non-linear systematics using fast simulations
• Hybrid summary statistics: neural weak lensing inference beyond the power spectrum
• Learning the Universe: Learning to Optimize Cosmic Initial Conditions with Non-Differentiable Structure Formation Models
• Straightening the Ruler: Field-Level Inference of the BAO Scale with LEFTfield
• Mixing Bispectrum Multipoles Under Geometric Distortions
• Tomographic Alcock-Paczynski Method with Redshift Errors
• Bye-bye, Local-in-matter-density Bias: The Statistics of the Halo Field Are Poorly Determined by the Local Mass Density
• Fisher matrix for the angular power spectrum of multi-tracer galaxy surveys
• The Manticore Project II: Bayesian digital twins of cosmic structure across the SDSS and BOSS volumes
• Diagnosing Systematic Effects Using the Inferred Initial Power Spectrum
• Cosmological constraints from the density gradient weighted correlation function