Going Beyond the Galaxy Power Spectrum: an Analysis of BOSS Data with Wavelet Scattering Transforms

Abstract

We perform the first application of the wavelet scattering transform (WST) to actual galaxy observations, through a WST analysis of the BOSS DR12 CMASS dataset. We included the effects of redshift-space anisotropy, non-trivial survey geometry, systematic weights, and the Alcock-Paczynski distortion effect, following the commonly adopted steps for the power spectrum analysis. In order to capture the cosmological dependence of the WST, we use galaxy mocks obtained from the state-of-the-art ABACUSSUMMIT simulations, tuned to match the anisotropic correlation function of the BOSS CMASS sample in the redshift range $0.46<z<0.60$. Using our model for the WST coefficients, as well as for the first 2 multipoles of the galaxy power spectrum, that we use as reference, we perform a likelihood analysis of the CMASS data. We obtain the posterior probability distributions of 4 cosmological parameters, $\{{\omega }_b,{\omega }_c,n_s,{\sigma }_8\}$, as well as the Hubble constant, derived from a fixed value of the angular size of the sound horizon at last scattering measured by the Planck satellite, all of which are marginalized over the 7 nuisance parameters of the Halo Occupation Distribution model. The WST is found to deliver a substantial improvement in the values of the predicted $1\sigma$ errors compared to the regular power spectrum, which are tighter by a factor of $3-5$ in the case of flat and uninformative priors and by a factor of $3-8$, when a Big Bang Nucleosynthesis prior is applied on the value of ${\omega }_b$. Our results are investigative and subject to certain approximations, which we discuss in the text.

arXiv comment25 pages, 11 figures, 2 tables. v3: matches accepted paper in PRD

References in corpus (104)

• emcee: The MCMC Hammer
• Dynamics of dark energy
• Simulating the joint evolution of quasars, galaxies and their large-scale distribution
• The Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Massive neutrinos and cosmology
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• The Dark Side of the Halo Occupation Distribution
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Large-Scale Galaxy Bias
• Deep Scattering Spectrum
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• One percent determination of the primordial deuterium abundance
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Testing General Relativity in Cosmology
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• The effects of He I 10830 on helium abundance determinations
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• The Quijote simulations
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
• Uncorrelated Modes of the Nonlinear Power Spectrum
• The CAMELS project: Cosmology and Astrophysics with MachinE Learning Simulations
• Massive Lossless Data Compression and Multiple Parameter Estimation from Galaxy Spectra
• AbacusSummit: A Massive Set of High-Accuracy, High-Resolution $N$-Body Simulations
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• Combining Full-Shape and BAO Analyses of Galaxy Power Spectra: A 1.6% CMB-independent constraint on H0
• Fast Estimators for Redshift-Space Clustering
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Modeling the clustering and halo occupation distribution of BOSS-CMASS galaxies in the Final Data Release
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey
• The BAO+BBN take on the Hubble tension
• Mock galaxy catalogs using the quick particle mesh method
• Testing Gravity using Cosmic Voids
• A new analysis of galaxy 2-point functions in the BOSS survey, including full-shape information and post-reconstruction BAO
• Cosmological Tests of Gravity
• Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping
• Measuring line-of-sight dependent Fourier-space clustering using FFTs
• A new approach to observational cosmology using the scattering transform
• Voids in massive neutrino cosmologies
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• Massive Neutrinos Leave Fingerprints on Cosmic Voids
• Non-Gaussian information from weak lensing data via deep learning
• The $\text{Abacus}$ Cosmological $N$-body Code
• Probing cosmology and gravity with redshift-space distortions around voids
• Towards an Optimal Estimation of Cosmological Parameters with the Wavelet Scattering Transform
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• Full-shape cosmology analysis of SDSS-III BOSS galaxy power spectrum using emulator-based halo model: a $5\%$ determination of ${\sigma }_8$
• A High-Fidelity Realization of the Euclid Code Comparison $N$-body Simulation with Abacus
• Generalized massive optimal data compression
• On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices
• An optimal FFT-based anisotropic power spectrum estimator
• New Interpretable Statistics for Large Scale Structure Analysis and Generation
• AbacusHOD: A highly efficient extended multi-tracer HOD framework and its application to BOSS and eBOSS data
• BOSS Correlation Function Analysis from the Effective Field Theory of Large-Scale Structure
• A marked correlation function for constraining modified gravity models
• Rapid modelling of the redshift-space power spectrum multipoles for a masked density field
• \textsc{CompaSO}: A new halo finder for competitive assignment to spherical overdensities
• Solid Harmonic Wavelet Scattering for Predictions of Molecule Properties
• Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS
• Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory
• Near optimal bispectrum estimators for large-scale structure
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• The GIGANTES dataset: precision cosmology from voids in the machine learning era
• The Future of Primordial Features with Large-Scale Structure Surveys
• Stringent ${\sigma }_8$ constraints from small-scale galaxy clustering using a hybrid MCMC+emulator framework
• Intermittent process analysis with scattering moments
• Fewer Mocks and Less Noise: Reducing the Dimensionality of Cosmological Observables with Subspace Projections
• Five-percent measurements of the growth rate from simulation-based modelling of redshift-space clustering in BOSS LOWZ
• Evidence for galaxy assembly bias in BOSS CMASS redshift-space galaxy correlation function
• Non-Gaussian Minkowski functionals & extrema counts in redshift space
• The RWST, a comprehensive statistical description of the non-Gaussian structures in the ISM
• Weak lensing scattering transform: dark energy and neutrino mass sensitivity
• Accurate emulator for the redshift-space power spectrum of dark matter halos and its application to galaxy power spectrum
• Enhancing BOSS bispectrum cosmological constraints with maximal compression
• Hefty enhancement of cosmological constraints from the DES Y1 data using a Hybrid Effective Field Theory approach to galaxy bias
• Clipping the Cosmos: The Bias and Bispectrum of Large Scale Structure
• Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
• The effect on cosmological parameter estimation of a parameter dependent covariance matrix
• Classification of Magnetohydrodynamic Simulations using Wavelet Scattering Transforms
• Illustrating galaxy-halo connection in the DESI era with IllustrisTNG
• Statistical description of dust polarized emission from the diffuse interstellar medium -- A RWST approach
• Exploring the cosmic 21-cm signal from the Epoch of Reionisation using the Wavelet Scattering Transform
• Non-Gaussianity in Large Scale Structure and Minkowski Functionals
• Beyond delta: Tailoring marked statistics to reveal modified gravity
• New probe of departures from general relativity using Minkowski functionals
• Cosmology and neutrino mass with the Minimum Spanning Tree
• Information escaping the correlation hierarchy of the convergence field in the study of cosmological parameters
• Cosmology with cosmic web environments I. Real-space power spectra
• NECOLA: Towards a Universal Field-level Cosmological Emulator
• Cosmological inference from emulator based halo model I: Validation tests with HSC and SDSS mock catalogs
• Quantifying the evolution of higher-order clustering
• Modal compression of the redshift-space galaxy bispectrum
• Skewing the CMB$\times$LSS: a Fast Method for Bispectrum Analysis

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• Precise Cosmological Constraints from BOSS Galaxy Clustering with a Simulation-Based Emulator of the Wavelet Scattering Transform
• Galaxy Clustering Analysis with SimBIG and the Wavelet Scattering Transform
• Inevitable manifestation of wiggles in the expansion of the late Universe
• Cosmological Information in Skew Spectra of Biased Tracers in Redshift Space
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• Non-Gaussian modelling and statistical denoising of Planck dust polarization full-sky maps using scattering transforms
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• Probing the cold neutral medium through HI emission morphology with the scattering transform
• Scattering Spectra Models for Physics
• Robust Neural Network-Enhanced Estimation of Local Primordial Non-Gaussianity
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• Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
• Diffusion-HMC: Parameter Inference with Diffusion-model-driven Hamiltonian Monte Carlo
• Cosmology with cosmic web environments II. Redshift-space auto and cross power spectra
• CombineHarvesterFlow: Joint Probe Analysis Made Easy with Normalizing Flows
• Mixing Bispectrum Multipoles Under Geometric Distortions
• Aemulus $\nu$: Precision halo mass functions in w$\nu$CDM cosmologies
• Cosmology with Persistent Homology: Parameter Inference via Machine Learning
• A New Wavelet Scattering Transform-Based Statistic for Cosmological Analysis of Large-Scale Structure
• Constraining Power of Wavelet vs. Power Spectrum Statistics for CMB Lensing and Weak Lensing with Learned Binning
• Emulating galaxy and peculiar velocity clustering on non-linear scales