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Dirichlet Process Gaussian-mixture model: An application to localizing coalescing binary neutron stars with gravitational-wave observations

2018/06/05 by W. Del Pozzo, C. P. L. Berry, Archisman Ghosh +3 · 1 voice · 1 citation
Computer Science · Physics and Astronomy · #Gamma-ray bursts and supernovae #Gaussian Processes and Bayesian Inference #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.1093/mnras/sty1485

openalex created_date 2018/02/02 · openalex publication_date 2018/06/05 · openalex updated_date 2026/07/29

Abstract

We reconstruct posterior distributions for the position (sky area and distance) of a simulated set of binary neutron star gravitational-waves signals observed with Advanced LIGO and Advanced Virgo. We use a Dirichlet process Gaussian-mixture model, a fully Bayesian non-parametric method that can be used to estimate probability density functions with a flexible set of assumptions. The ability to reliably reconstruct the source position is important for multimessenger astronomy, as recently demonstrated with GW170817. We show that for detector networks comparable to the early operation of Advanced LIGO and Advanced Virgo, typical localization volumes are ∼104–105~Mpc3 corresponding to ∼102–103 potential host galaxies. The localization volume is a strong function of the network signal-to-noise ratio, scaling roughly |∝ \varrho net-6|⁠. Fractional localizations improve with the addition of further detectors to the network. Our Dirichlet process Gaussian-mixture model can be adopted for localizing events detected during future gravitational-wave observing runs and used to facilitate prompt multimessenger follow-up.

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