Eryn : A multi-purpose sampler for Bayesian inference
arXiv:2303.02164 · doi:10.1093/mnras/stad2939
Abstract
In recent years, methods for Bayesian inference have been widely used in many different problems in physics where detection and characterization are necessary. Data analysis in gravitational-wave astronomy is a prime example of such a case. Bayesian inference has been very successful because this technique provides a representation of the parameters as a posterior probability distribution, with uncertainties informed by the precision of the experimental measurements. During the last couple of decades, many specific advances have been proposed and employed in order to solve a large variety of different problems. In this work, we present a Markov Chain Monte Carlo (MCMC) algorithm that integrates many of those concepts into a single MCMC package. For this purpose, we have built {\tt Eryn}, a user-friendly and multipurpose toolbox for Bayesian inference, which can be utilized for solving parameter estimation and model selection problems, ranging from simple inference questions, to those with large-scale model variation requiring trans-dimensional MCMC methods, like the LISA global fit problem. In this paper, we describe this sampler package and illustrate its capabilities on a variety of use cases.
arXiv comment21 pages, 7 figures
References in corpus (55)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Observation of Gravitational Waves from a Binary Black Hole Merger
- emcee: The MCMC Hammer
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- TianQin: a space-borne gravitational wave detector
- Planck 2018 results. I. Overview and the cosmological legacy of Planck
- Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
- Science Case for the Einstein Telescope
- H0LiCOW XIII. A 2.4% measurement of from lensed quasars: tension between early and late-Universe probes
- Planck 2018 results. V. CMB power spectra and likelihoods
- The mass distribution and gravitational potential of the Milky Way
- Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817
- Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
- Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
- The gravitational wave signal from the Galactic disk population of binaries containing two compact objects
- Low-frequency gravitational-wave science with eLISA/NGO
- An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
- Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
- BayesWave: Bayesian Inference for Gravitational Wave Bursts and Instrument Glitches
- A guide to LIGO-Virgo detector noise and extraction of transient gravitational-wave signals
- Cosmology with the Laser Interferometer Space Antenna
- Data analysis recipes: Using Markov Chain Monte Carlo
- Dynamic temperature selection for parallel-tempering in Markov chain Monte Carlo simulations
- COSMIC Variance in Binary Population Synthesis
- The LISA Optimal Sensitivity
- PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
- Markov Chain Monte Carlo Methods for Bayesian Data Analysis in Astronomy
- Time-Delay Interferometry
- Tests of Bayesian Model Selection Techniques for Gravitational Wave Astronomy
- Prototype Global Analysis of LISA Data with Multiple Source Types
- The LISA Response Function
- Global Analysis of the Gravitational Wave Signal from Galactic Binaries
- Characterization of the stochastic signal originating from compact binaries populations as measured by LISA
- A Solution to the Galactic Foreground Problem for LISA
- Parameter estimation with gravitational waves
- A Review of Multiple Try MCMC algorithms for Signal Processing
- Bilby-MCMC: An MCMC sampler for gravitational-wave inference
- Detecting hierarchical stellar systems with LISA
- A Bayesian Approach to the Detection Problem in Gravitational Wave Astronomy
- A detection pipeline for galactic binaries in LISA data
- Taiji Data Challenge for Exploring Gravitational Wave Universe
- Uncovering gravitational-wave backgrounds from noises of unknown shape with LISA
- Hierarchical multi-stage MCMC follow-up of continuous gravitational wave candidates
- Resolving Galactic binaries in LISA data using particle swarm optimization and cross-validation
- Separating Gravitational Wave Signals from Instrument Artifacts
- A multi-point Metropolis scheme with generic weight functions
- A statistical inference approach to time-delay interferometry for gravitational-wave detection
- Gravitational wave astronomy with LIGO and similar detectors in the next decade
- Bayesian parameter-estimation of Galactic binaries in LISA data with Gaussian Process Regression
- The stepping-stone sampling algorithm for calculating the evidence of gravitational wave models
- Bayesian Characterisation of Circumbinary Exoplanets with LISA
- Stochastic Normalizing Flows
- Markov Chain Monte Carlo Methods in Quantum Field Theories: A Modern Primer
- Detecting compact galactic binaries using a hybrid swarm-based algorithm
- Bayesian Model Selection for LISA Pathfinder
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- Extracting overlapping gravitational-wave signals of galactic compact binaries: a mini review
- Comparing astrophysical models to gravitational-wave data in the observable space
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- When vacuum breaks: a self-consistency test for astrophysical environments in extreme mass ratio inspirals