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 (35)

• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• 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
• Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Modeling Uncertainty
• Estimating the Redshift Distribution of Faint Galaxy Samples
• A refined sub-grid model for black hole accretion and AGN feedback in large cosmological simulations
• 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
• Likelihood-free inference with neural compression of DES SV weak lensing map statistics
• 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
• 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
• Massive data compression for parameter-dependent covariance matrices
• Cosmological Forecast for non-Gaussian Statistics in large-scale weak Lensing Surveys
• 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
• The Persistence of Large Scale Structures I: Primordial non-Gaussianity
• 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