Persistent homology in cosmic shear II: A tomographic analysis of DES-Y1

Abstract

We demonstrate how to use persistent homology for cosmological parameter inference in a tomographic cosmic shear survey. We obtain the first cosmological parameter constraints from persistent homology by applying our method to the first-year data of the Dark Energy Survey. To obtain these constraints, we analyse the topological structure of the matter distribution by extracting persistence diagrams from signal-to-noise maps of aperture masses. This presents a natural extension to the widely used peak count statistics. Extracting the persistence diagrams from the cosmo-SLICS, a suite of $N$-body simulations with variable cosmological parameters, we interpolate the signal using Gaussian Processes and marginalise over the most relevant systematic effects, including intrinsic alignments and baryonic effects. We find for the structure growth parameter $S_8=0.747_{-0.031}^{+0.025}$, which is in full agreement with other late-time probes. We also constrain the intrinsic alignment parameter to $A=1.54\pm 0.52$, ruling out the case of no intrinsic alignments at a $3\sigma$-level.

References in corpus (86)

• A Universal Density Profile from Hierarchical Clustering
• Weak Gravitational Lensing
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Bayesian photometric redshift estimation
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• The Hyper Suprime-Cam SSP Survey: Overview and Survey Design
• The Dark Energy Camera
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• A roadmap for the computation of persistent homology
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
• The persistent cosmic web and its filamentary structure I: Theory and implementation
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cosmic Shear
• Cosmology from cosmic shear power spectra with Subaru Hyper Suprime-Cam first-year data
• The BAHAMAS project: Calibrated hydrodynamical simulations for large-scale structure cosmology
• PolyChord: next-generation nested sampling
• The Dark Energy Survey Data Release 1
• Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements
• Cosmological simulations of black hole growth: AGN luminosities and downsizing
• The Kilo-Degree Survey
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Modeling Uncertainty
• Weak lensing for precision cosmology
• KiDS+VIKING-450: Cosmic shear tomography with optical+infrared data
• Detection of (dark) matter concentrations via weak gravitational lensing
• The Skewness of the Aperture Mass Statistic
• Quantifying the effect of baryon physics on weak lensing tomography
• CosmoSIS: modular cosmological parameter estimation
• Galaxy alignments: An overview
• Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data
• Massive Lossless Data Compression and Multiple Parameter Estimation from Galaxy Spectra
• Connecting Angular Momentum and Galactic Dynamics: The complex Interplay between Spin, Mass, and Morphology
• Practical Weak Lensing Shear Measurement with Metacalibration
• Halo mass function: Baryon impact, fitting formulae and implications for cluster cosmology
• Parameter inference with estimated covariance matrices
• Beyond linear galaxy alignments
• Estimating the Redshift Distribution of Faint Galaxy Samples
• Dark Energy Survey Year 1 Results: Redshift distributions of the weak lensing source galaxies
• KiDS-450: Testing extensions to the standard cosmological model
• A refined sub-grid model for black hole accretion and AGN feedback in large cosmological simulations
• KiDS+VIKING-450 and DES-Y1 combined: Cosmology with cosmic shear
• High Performance P3M N-body code: CUBEP3M
• Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data
• A new approach to observational cosmology using the scattering transform
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics - II: Inference from Shear Peaks using N-body Simulations
• KiDS+VIKING-450 and DES-Y1 combined: Mitigating baryon feedback uncertainty with COSEBIs
• Origin and properties of dual and offset active galactic nuclei in a cosmological simulation at z=2
• Likelihood-free inference with neural compression of DES SV weak lensing map statistics
• COSEBIs: Extracting the full E-/B-mode information from cosmic shear correlation functions
• Investigating the velocity structure and X-ray observable properties of simulated galaxy clusters with PHOX
• The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• GaBoDS: The Garching-Bonn Deep Survey -- IX. A sample of 158 shear-selected mass concentration candidates
• The impact of baryonic processes on the two-point correlation functions of galaxies, subhaloes and matter
• Using persistent homology and dynamical distances to analyze protein binding
• Cosmic Shear Cosmology Beyond 2-Point Statistics: A Combined Peak Count and Correlation Function Analysis of DES-Y1
• On the impact of baryons on the halo mass function, bias, and cluster cosmology
• Simulations of Weak Gravitational Lensing - II : Including Finite Support Effects in Cosmic Shear Covariance Matrices
• Constraints on the CMB Temperature Evolution using Multi-Band Measurements of the Sunyaev Zel'dovich Effect with the South Pole Telescope
• Searching for galaxy clusters using the aperture mass statistics in 50 VLT fields
• Massive data compression for parameter-dependent covariance matrices
• Cosmological Forecast for non-Gaussian Statistics in large-scale weak Lensing Surveys
• Statistical and Systematic Errors in Measurement of Weak-Lensing Minkowski Functionals: Application to Canada-France-Hawaii Lensing Survey
• Cosmic Shear Covariance Matrix in $w$CDM: Cosmology Matters
• Optimal capture of non-Gaussianity in weak lensing surveys: power spectrum, bispectrum and halo counts
• Finding cosmic voids and filament loops using topological data analysis
• The Outer Halos of Very Massive Galaxies: BCGs and their DSC in the Magneticum Simulations
• Persistent homology in cosmic shear: constraining parameters with topological data analysis
• Lifting weak lensing degeneracies with a field-based likelihood
• Selection biases in empirical p(z) methods for weak lensing
• The Persistence of Large Scale Structures I: Primordial non-Gaussianity
• Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
• Weak Lensing Minima and Peaks: Cosmological Constraints and the Impact of Baryons
• The effect of baryons in the cosmological lensing PDFs
• Going deep with Minkowski functionals of convergence maps
• The integrated 3-point correlation function of cosmic shear
• Bayesian forward modelling of cosmic shear data
• Probing dark energy with tomographic weak-lensing aperture mass statistics
• Self-calibration of weak lensing systematic effects using combined two- and three-point statistics
• Fisher Forecasts for Primordial non-Gaussianity from Persistent Homology
• Impact of baryons in cosmic shear analyses with tomographic aperture mass statistics
• Eigengalaxies: describing galaxy morphology using principal components in image space
• A New Data Compression Method and its Application to Cosmic Shear Analysis
• A revised density split statistic model for general filters
• A Study on the Baryon Acoustic Oscillation with Topological Data Analysis
• Data Compression and Covariance Matrix Inspection: Cosmic Shear

Cited by in corpus (20)

• Euclid. I. Overview of the Euclid mission
• Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• KiDS-1000 Cosmology: Constraints from density split statistics
• Cosmological constraints from weak lensing scattering transform using HSC Y1 data
• Cosmological Probes of Structure Growth and Tests of Gravity
• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
• Cosmology with Persistent Homology: a Fisher Forecast
• Fitting covariance matrix models to simulations
• A roadmap to cosmological parameter analysis with third-order shear statistics III: Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data
• Wasserstein distance as a new tool for discriminating cosmologies through the topology of large scale structure
• A roadmap to cosmological parameter analysis with third-order shear statistics II: Analytic covariance estimate
• Imprint of massive neutrinos on Persistent Homology of large-scale structure
• Topological data analysis reveals differences between simulated galaxies and dark matter haloes
• Cosmological constraints from HSC Y1 lensing convergence PDF
• Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field
• Cosmology with Persistent Homology: Parameter Inference via Machine Learning
• Cosmological parameters from the joint analysis of Density Split and Second Order Statistics: an Emulator based on the Halo Occupation Distribution
• Homology reveals significant anisotropy in the cosmic microwave background
• Non-linear infusion of intrinsic alignment and source clustering: impact on non-Gaussian cosmic shear statistics