Hierarchical multi-stage MCMC follow-up of continuous gravitational wave candidates

Abstract

Leveraging Markov chain Monte Carlo (MCMC) optimization of the F-statistic, we introduce a method for the hierarchical follow-up of continuous gravitational wave candidates identified by wide-parameter space semi-coherent searches. We demonstrate parameter estimation for continuous wave sources and develop a framework and tools to understand and control the effective size of the parameter space, critical to the success of the method. Monte Carlo tests of simulated signals in noise demonstrate that this method is close to the theoretical optimal performance.

16 pages, 9 figures, 3 tables; updated following acceptance for publication in Phys. Rev. D

References in corpus (12)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Data analysis recipes: Using Markov Chain Monte Carlo
• Method for all-sky searches of continuous gravitational wave signals using the frequency-Hough transform
• First low-frequency Einstein@Home all-sky search for continuous gravitational waves in Advanced LIGO data
• Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces
• Search method for long-duration gravitational-wave transients from neutron stars
• Exploiting Large-Scale Correlations to Detect Continuous Gravitational Waves
• First narrow-band search for continuous gravitational waves from known pulsars in advanced detector data
• Parameter-space metric of semicoherent searches for continuous gravitational waves
• Parameter-space correlations of the optimal statistic for continuous gravitational-wave detection

Cited by in corpus (37)

• All-sky search for continuous gravitational waves from isolated neutron stars using Advanced LIGO O2 data
• Searches for Continuous-Wave Gravitational Radiation
• Continuous gravitational waves from neutron stars: current status and prospects
• All-sky search for continuous gravitational waves from isolated neutron stars using Advanced LIGO and Advanced Virgo O3 data
• Parameter estimation with gravitational waves
• Searches for continuous gravitational waves from neutron stars: A twenty-year retrospective
• Narrowband searches for continuous and long-duration transient gravitational waves from known pulsars in the LIGO-Virgo third observing run
• All-sky search in early O3 LIGO data for continuous gravitational-wave signals from unknown neutron stars in binary systems
• Search for continuous gravitational wave emission from the Milky Way center in O3 LIGO--Virgo data
• All-sky Search for Continuous Gravitational Waves from Isolated Neutron Stars in the Early O3 LIGO Data
• Search methods for continuous gravitational-wave signals from unknown sources in the advanced-detector era
• Search for continuous gravitational waves from 20 accreting millisecond X-ray pulsars in O3 LIGO data
• Eryn : A multi-purpose sampler for Bayesian inference
• Status and perspectives of Continuous Gravitational Wave searches
• First search for long-duration transient gravitational waves after glitches in the Vela and Crab pulsars
• First all-sky search for continuous gravitational-wave signals from unknown neutron stars in binary systems using Advanced LIGO data
• Model-based cross-correlation search for gravitational waves from the low-mass X-ray binary Scorpius X-1 in LIGO O3 data
• Application of a hierarchical MCMC follow-up to Advanced LIGO continuous gravitational-wave candidates
• PyFstat: a Python package for continuous gravitational-wave data analysis
• Empirically estimating the distribution of the loudest candidate from a gravitational-wave search
• Applications of machine learning in gravitational wave research with current interferometric detectors
• Faster search for long gravitational-wave transients: GPU implementation of the transient F-statistic
• Rapid parameter estimation for an all-sky continuous gravitational wave search using conditional varitational auto-encoders
• A semicoherent glitch-robust continuous gravitational wave search
• Search for Gravitational Waves from Scorpius X-1 in LIGO O3 Data With Corrected Orbital Ephemeris
• A GPU-accelerated semi-coherent hierarchical search for stellar-mass binary inspiral signals in LISA
• Time-frequency track distance for comparing continuous gravitational wave signals
• Bayesian $\mathcal{F}$-statistic-based parameter estimation of continuous gravitational waves from known pulsars
• Computational Techniques for Parameter Estimation of Gravitational Wave Signals
• Effects of proper motion of neutron stars on continuous gravitational-wave searches
• New semicoherent targeted search for continuous gravitational waves from pulsars in binary systems
• Gravitational-wave searches in the era of Advanced LIGO and Virgo
• Toward a computationally-efficient follow-up pipeline for blind continuous gravitational-wave searches
• Einstein@Home all-sky "bucket" search for continuous gravitational waves in LIGO O3 public data
• Reduced order modelling in searches for continuous gravitational waves - I. Barycentering time delays
• Bayesian Framework to Follow-up Continuous Gravitational Wave Candidates from Deep Surveys
• Learning to detect continuous gravitational waves: an open data-analysis competition