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Gravitational-wave events are interpreted in terms of Bayesian posteriors for their source properties inferred under unphysical reference priors. Though these parameter estimates are important intermediate data products for downstream…

广义相对论与量子宇宙学 · 物理学 2026-04-20 Matthew Mould , Rodrigo Tenorio , Davide Gerosa

The increasing sensitivity of gravitational-wave detectors has brought about an increase in the rate of astrophysical signal detections as well as the rate of "glitches"; transient and non-Gaussian detector noise. Temporal overlap of…

广义相对论与量子宇宙学 · 物理学 2022-08-18 Sophie Hourihane , Katerina Chatziioannou , Marcella Wijngaarden , Derek Davis , Tyson Littenberg , Neil Cornish

Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

广义相对论与量子宇宙学 · 物理学 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

Bayesian inference of gravitational wave signals is subject to systematic error due to modelling uncertainty in waveform signal models, coined approximants. A growing collection of approximants are available which use different approaches…

广义相对论与量子宇宙学 · 物理学 2020-03-25 Gregory Ashton , Sebastian Khan

We derive a Fisher matrix for the parameters characterising a population of gravitational-wave events. This provides a guide to the precision with which population parameters can be estimated with multiple observations, which becomes…

广义相对论与量子宇宙学 · 物理学 2022-12-14 Jonathan R. Gair , Andrea Antonelli , Riccardo Barbieri

The difference ("mismatch") between two gravitational-wave (GW) signals is often used to estimate the signal-to-noise ratio (SNR) at which they will be distinguishable in a measurement or, alternatively, when the errors in a signal model…

广义相对论与量子宇宙学 · 物理学 2025-06-13 Jonathan E. Thompson , Charlie Hoy , Edward Fauchon-Jones , Mark Hannam

We present a Bayesian perspective on quantifying the uncertainty of graph signals estimated or reconstructed from imperfect observations. We show that many conventional methods of graph signal estimation, reconstruction and imputation, can…

信号处理 · 电气工程与系统科学 2025-05-22 Lennard Rompelberg , Michael T. Schaub

In future gravitational-wave (GW) detections, a large number of overlapping GW signals will appear in the data stream of detectors. When extracting information from one signal, the presence of other signals can cause large parameter…

天体物理仪器与方法 · 物理学 2024-02-07 Ziming Wang , Dicong Liang , Junjie Zhao , Chang Liu , Lijing Shao

A number of open problems hinder our present ability to extract scientific information from data that will be gathered by the near-future gravitational-wave mission LISA. Many of these relate to the modeling, detection and characterization…

天体物理仪器与方法 · 物理学 2020-02-17 Alvin J. K. Chua , Natalia Korsakova , Christopher J. Moore , Jonathan R. Gair , Stanislav Babak

We present a parameter estimation framework for gravitational wave (GW) signals that brings together several ideas to accelerate the inference process. First, we use the relative binning algorithm to evaluate the signal-to-noise-ratio…

广义相对论与量子宇宙学 · 物理学 2022-10-31 Tousif Islam , Javier Roulet , Tejaswi Venumadhav

The sensitivity of gravitational-wave (GW) detectors is characterized by their noise curves, which determine the detector's reach and ability to measure the parameters of astrophysical sources accurately. The detector noise is typically…

天体物理仪器与方法 · 物理学 2025-03-21 Sumit Kumar , Alexander H. Nitz , Xisco Jiménez Forteza

We investigate the issue in determining the significance of candidate transient gravitational-wave events in a ground-based interferometer network. Given the presence of non-Gaussian noise artefacts in real data, the noise background must…

天体物理仪器与方法 · 物理学 2017-10-18 Collin Capano , Thomas Dent , Chad Hanna , Martin Hendry , Yi-Ming Hu , Chris Messenger , John Veitch

Approximations are commonly employed in realistic applications of scientific Bayesian inference, often due to convenience if not necessity. In the field of gravitational-wave (GW) data analysis, fast-to-evaluate but approximate waveform…

广义相对论与量子宇宙学 · 物理学 2024-04-03 Ruiting Mao , Jeong Eun Lee , Ollie Burke , Alvin J. K. Chua , Matthew C. Edwards , Renate Meyer

Gaussian processes (GPs) are a class of Kernel methods that have shown to be very useful in geoscience and remote sensing applications for parameter retrieval, model inversion, and emulation. They are widely used because they are simple,…

机器学习 · 计算机科学 2020-05-21 J. Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls

The upcoming gravitational wave (GW) observatory LISA will measure the parameters of sources like extreme-mass-ratio inspirals (EMRIs) to exquisite precision. These measurements will also be sensitive to perturbations to the vacuum,…

广义相对论与量子宇宙学 · 物理学 2025-06-18 Shubham Kejriwal , Francisco Duque , Alvin J. K. Chua , Jonathan Gair

We introduce a signal processing model for signals in non-white noise, where the exact noise spectrum is a priori unknown. The model is based on a Student's t distribution and constitutes a natural generalization of the widely used normal…

统计方法学 · 统计学 2015-03-13 Christian Röver , Renate Meyer , Nelson Christensen

Gravitational wave detectors will need optimal signal-processing algorithms to extract weak signals from the detector noise. Most algorithms designed to date are based on the unrealistic assumption that the detector noise may be modeled as…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

In tests of gravity using gravitational waves (GWs), GW events analyzed are often selected based on specific criteria, particularly the signal-to-noise ratio. However, such event selection can introduce bias into parameter estimation unless…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Hayato Imafuku , Hiroki Takeda , Atsushi Nishizawa , Daiki Watarai , Kipp Cannon

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

高能天体物理现象 · 物理学 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

Bayesian inference is a powerful tool in gravitational-wave astronomy. It enables us to deduce the properties of merging compact-object binaries and to determine how these mergers are distributed as a population according to mass, spin, and…

天体物理仪器与方法 · 物理学 2022-06-15 Isobel M. Romero-Shaw , Eric Thrane , Paul D. Lasky