A Non-parametric Method for the Inference of Halo Occupation Distributions

Abstract

The galaxy-halo connection traces processes by which galaxies form and evolve. The halo occupation distribution (HOD) describes the relationship between galaxies and their host dark matter haloes. Measurements of the galaxy two-point correlation function (2PCF) allow us to extract information about the HODs of observed galaxy samples. Several parametric HOD models have been proposed in the literature, but the choice of parameterization restricts the space of possible HODs. To resolve this issue, we introduce a non-parametric HOD fitting method in which we train an emulator to learn the mappings among the galaxy 2PCF, physical properties used to select galaxy samples, and the HOD, all obtained from simulated past lightcones constructed with the Santa Cruz semi-analytic models. Implementing this emulator within a likelihood analysis framework, we derive constraints on the HOD of a galaxy sample when provided with a measurement of its 2PCF. Using the emulator to accelerate likelihood evaluations, we test the non-parametric HOD approach on a set of 2PCFs for mock galaxy samples drawn from the TNG100-1 simulation and selected above threshold values of stellar mass and star formation rate. Our framework is able to recover TNG100-1 HODs within 0.2 dex. We use the TNG100-1 mocks to tune the reported uncertainties to estimate those expected in the analysis of observations. Comparing to parametric HOD modeling routines applied to the same mock galaxy samples, our approach consistently infers the HOD with comparable or greater precision and accuracy.

27 pages, 18 figures, 2 tables. Accepted to ApJ

References in corpus (76)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• The Sloan Digital Sky Survey: Technical Summary
• The Structure of Cold Dark Matter Halos
• The Seventh Data Release of the Sloan Digital Sky Survey
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Large scale bias and the peak background split
• Populating a cluster of galaxies - I. Results at z=0
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• Halo Models of Large Scale Structure
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The 3D power spectrum of galaxies from the SDSS
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• A Semi-Analytic Model for the Co-evolution of Galaxies, Black Holes, and Active Galactic Nuclei
• Analytic model for galaxy and dark matter clustering
• Semi-Analytic Modelling of Galaxy Formation: The Local Universe
• The Dark Energy Survey: more than dark energy - an overview
• Halo occupation numbers and galaxy bias
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• The Dark Side of the Halo Occupation Distribution
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
• Modeling Luminosity-Dependent Galaxy Clustering Through Cosmic Time
• The DEEP2 Galaxy Redshift Survey: Design, Observations, Data Reduction, and Redshifts
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• The Structure of Dark Matter Haloes in Hierarchical Clustering Models
• Linking halo mass to galaxy luminosity
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• Euclid. I. Overview of the Euclid mission
• The James Webb Space Telescope Mission
• The Kilo-Degree Survey
• The Halo Occupation Distribution and the Physics of Galaxy Formation
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• How to Plant a Merger Tree
• Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions
• Halo assembly bias and its effects on galaxy clustering
• The Skewness of the Aperture Mass Statistic
• Cosmic homogeneity demonstrated with luminous red galaxies
• Linear Redshift Distortions: A Review
• Core Cosmology Library: Precision Cosmological Predictions for LSST
• The clustering of massive galaxies at z~0.5 from the first semester of BOSS data
• Galaxy Properties from the Ultra-violet to the Far-Infrared: Lambda-CDM models confront observations
• Star Formation in Semi-Analytic Galaxy Formation Models with Multiphase Gas
• Galaxy Assembly Bias: A Significant Source of Systematic Error in the Galaxy-Halo Relationship
• Observations of the Lyman-$\alpha$ Universe
• The Dark Side of Galaxy Color
• Semi-analytic forecasts for JWST - I. UV luminosity functions at z = 4 - 10
• Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z ~ 1.2
• Subhalo abundance matching and assembly bias in the EAGLE simulation
• The Aemulus Project III: Emulation of the Galaxy Correlation Function
• Redshift-Space Clustering of SDSS Galaxies --- Luminosity Dependence, Halo Occupation Distribution, and Velocity Bias
• The High Latitude Spectroscopic Survey on the Nancy Grace Roman Space Telescope
• The Hobby-Eberly Telescope Dark Energy Experiment (HETDEX) Survey Design, Reductions, and Detections
• The Correlation Function of Clusters of Galaxies and the Amplitude of Mass Fluctuations in the Universe
• Breaking the Degeneracies Between Cosmology and Galaxy Bias
• DESI DR2 Results I: Baryon Acoustic Oscillations from the Lyman Alpha Forest
• The clustering of H-alpha emitters at z=2.23 from HiZELS
• The Horizon Run 5 Cosmological Hydrodynamic Simulation: Probing Galaxy Formation from Kilo- to Giga-parsec Scales
• Testing homogeneity on large scales in the Sloan Digital Sky Survey Data Release One
• The halo model for cosmology: a pedagogical review
• Semi-analytic forecasts for JWST -- VI. Simulated lightcones and galaxy clustering predictions
• Mock Lightcones and Theory Friendly Catalogs for the CANDELS Survey
• TheHaloMod: An online calculator for the halo model
• Semi-analytic forecasts for JWST -- V. AGN luminosity functions and helium reionization at z = 2-7
• The evolution of clustering length, large-scale bias and host halo mass at 2<z<5 in the VIMOS Ultra Deep Survey (VUDS)
• The clustering and evolution of H-alpha emitters at z~1 from HiZELS
• The H-alpha luminosity-dependent clustering of star-forming galaxies from z~0.8 to z~2.2 with HiZELS
• Cluster correlation functions in N-body simulations
• Semi-analytic forecasts for Roman -- the beginning of a new era of deep-wide galaxy surveys
• Galaxy Formation in the Santa Cruz semi-analytic model compared with IllustrisTNG -- I. Galaxy scaling relations, dispersions, and residuals at z=0
• The Aemulus Project VI: Emulation of beyond-standard galaxy clustering statistics to improve cosmological constraints
• OpenUniverse2024: A shared, simulated view of the sky for the next generation of cosmological surveys
• Constraining Galaxy-Halo Connection Using Machine Learning