PixelPop: High Resolution Nonparameteric Inference of Gravitational-Wave Populations in Multiple Dimensions

Abstract

The origins of merging compact binaries observed by gravitational-wave detectors remains highly uncertain. Several astrophysical channels may contribute to the overall merger rate, with distinct formation processes imprinted on the structure and correlations in the underlying distributions of binary source parameters. In the absence of confident theoretical models, the current understanding of this population mostly relies on simple parametric models that make strong assumptions and are prone to misspecification. Recent work has made progress using more flexible nonparametric models, but detailed measurement of the multidimensional population remains challenging. In pursuit of this, we present PixelPop-a high resolution Bayesian nonparametric model to infer joint distributions and parameter correlations with minimal assumptions. PixelPop densely bins the joint parameter space and directly infers the merger rate in each bin, assuming only that bins are coupled to their nearest neighbors. We demonstrate this method on mock populations with and without bivariate source correlations, employing several statistical metrics for information gain and correlation significance to quantify our nonparametric results. We show that PixelPop correctly recovers the true populations within posterior uncertainties and offers a conservative assessment of population-level features and parameter correlations. Its flexibility and tractability make it a useful data-driven tool to probe gravitational-wave populations in multiple dimensions.

17 pages, 12 figures, published in Physical Review D

References in corpus (66)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Advanced LIGO
• MCMC using Hamiltonian dynamics
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• Pulsational Pair-Instability Supernovae
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• Extracting distribution parameters from multiple uncertain observations with selection biases
• Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
• Spinning-black-hole binaries: The orbital hang up
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Most Black Holes are Born Very Slowly Rotating
• One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways
• Exoplanet population inference and the abundance of Earth analogs from noisy, incomplete catalogs
• Does the Black Hole Merger Rate Evolve with Redshift?
• Hierarchical mergers of stellar-mass black holes and their gravitational-wave signatures
• The origin of spin in binary black holes: Predicting the distributions of the main observables of Advanced LIGO
• Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization
• The impact of mass-transfer physics on the observable properties of field binary black hole populations
• The redshift evolution of the binary black hole merger rate: a weighty matter
• Spectral sirens: cosmology from the full mass distribution of compact binaries
• Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning
• Measuring the star formation rate with gravitational waves from binary black holes
• Distribution of Effective Spins and Masses of Binary Black Holes from the LIGO and Virgo O1-O3a Observing Runs
• Accuracy Requirements for Empirically-Measured Selection Functions
• Improved methods for simulating nearly extremal binary black holes
• Estimation of the Sensitive Volume for Gravitational-wave Source Populations Using Weighted Monte Carlo Integration
• Model-independent inference on compact-binary observations
• Mining Gravitational-wave Catalogs To Understand Binary Stellar Evolution: A New Hierarchical Bayesian Framework
• Cover Your Basis: Comprehensive Data-Driven Characterization of the Binary Black Hole Population
• Probing multiple populations of compact binaries with third-generation gravitational-wave detectors
• The spins of compact objects born from helium stars in binary systems
• Binary Black Hole Mergers from LIGO/Virgo O1 and O2: Population Inference Combining Confident and Marginal Events
• A Parameter-Free Tour of the Binary Black Hole Population
• Suspicious Siblings: The Distribution of Mass and Spin Across Component Black Holes in Isolated Binary Evolution
• Ain't No Mountain High Enough: Semi-Parametric Modeling of LIGO-Virgos Binary Black Hole Mass Distribution
• Resolving the Stellar-Collapse and Hierarchical-Merger origins of the Coalescing Black Holes
• Non-parametric inference of the population of compact binaries from gravitational wave observations using binned Gaussian processes
• Deep learning and Bayesian inference of gravitational-wave populations: Hierarchical black-hole mergers
• Do unequal-mass binary black hole systems have larger ${\chi }_{\text{eff}}$? Probing correlations with copulas in gravitational-wave astronomy
• A trend in the effective spin distribution of LIGO binary black holes with mass
• Signatures of mass ratio reversal in gravitational waves from merging binary black holes
• Searching for mass-spin correlations in the population of gravitational-wave events: the GWTC-3 case study
• Digging the population of compact binary mergers out of the noise
• Gravitational-wave inference in the catalog era: evolving priors and marginal events
• What You Don't Know Can Hurt You: Use and Abuse of Astrophysical Models in Gravitational-wave Population Analyses
• Evidence for the evolution of black hole mass function with redshift
• Evidence for a correlation between binary black hole mass ratio and black-hole spins
• The ${\chi }_{\mathrm{eff}}-z$ correlation of field binary black hole mergers and how 3G gravitational-wave detectors can constrain it
• Black-hole mergers in disklike environments could explain the observed $q$-${\chi }_{\mathrm{eff}}$ correlation
• Cosmography with next-generation gravitational wave detectors
• Gravitational wave populations and cosmology with neural posterior estimation
• Is there an excess of black holes around $20M_{\odot }$? Optimising the complexity of population models with the use of reversible jump MCMC
• Model exploration in gravitational-wave astronomy with the maximum population likelihood
• Dropping Anchor: Understanding the Populations of Binary Black Holes with Random and Aligned Spin Orientations
• A flexible Gaussian process reconstruction method and the mass function of the coalescing binary black hole systems
• An upper limit on the spins of merging binary black holes formed through binary evolution
• Calibrating signal-to-noise ratio detection thresholds using gravitational-wave catalogs
• Quick recipes for gravitational-wave selection effects
• MOCCA-SURVEY Database -- I. Tidal disruption events of white dwarfs in globular clusters and young massive clusters
• Inferring the Astrophysical Population of Gravitational Wave Sources in the Presence of Noise Transients
• Surrogate forward models for population inference on compact binary mergers

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• The Science of the Einstein Telescope
• Sampling the full hierarchical population posterior distribution in gravitational-wave astronomy
• Rapid inference and comparison of gravitational-wave population models with neural variational posteriors
• Reconstructing parametric gravitational-wave population fits from non-parametric results without refitting the data
• Seeking Spinning Subpopulations of Black Hole Binaries via Iterative Density Estimation
• Where did Heavy Binaries Go? Gravitational-wave Populations Using Delaunay Triangulation with Optimized Complexity
• Looking To The Horizon: Probing Evolution in the Black Hole Spectrum With Gravitational Wave Catalogs
• An analytical joint prior for effective spins for inference on the spin distribution of binary black holes
• Expect the unexpected: augmented mixture models for black-hole-population studies
• Comparing astrophysical models to gravitational-wave data in the observable space
• Measurement prospects for the pair-instability mass cutoff with gravitational waves
• Model-agnostic gravitational-wave background characterization algorithm
• Population Properties of Binary Black Holes with Eccentricity