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Presented in this paper is a Markov chain Monte Carlo (MCMC) routine for conducting coherent parameter estimation for interferometric gravitational wave observations of an inspiral of binary compact objects using data from multiple…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian Röver , Renate Meyer , Nelson Christensen

Theoretical studies in gravitational wave astronomy often require the calculation of Fisher Information Matrices and Likelihood functions, which in a direct approach entail the costly step of computing gravitational waveforms. Here I…

广义相对论与量子宇宙学 · 物理学 2013-02-07 Neil J. Cornish

The standard Bayesian technique for searching pulsar timing data for gravitational wave (GW) bursts with memory (BWMs) using Markov Chain Monte Carlo (MCMC) sampling is very computationally expensive to perform. In this paper, we explain…

广义相对论与量子宇宙学 · 物理学 2023-08-02 Jerry Sun , Paul T. Baker , Aaron D. Johnson , Dustin R. Madison , Xavier Siemens

The analysis of data from gravitational wave detectors can be divided into three phases: search, characterization, and evaluation. The evaluation of the detection - determining whether a candidate event is astrophysical in origin or some…

广义相对论与量子宇宙学 · 物理学 2009-11-06 Tyson B. Littenberg , Neil J. Cornish

The Fisher Information Matrix (FIM) has been the standard approximation to the accuracy of parameter estimation on gravitational-wave signals from merging compact binaries due to its ease-of-use and rapid computation time. While the…

天体物理仪器与方法 · 物理学 2013-10-30 Carl L. Rodriguez , Benjamin Farr , Will M. Farr , Ilya Mandel

Estimating the source parameters of gravitational waves from compact binary coalescence(CBC) is a key analysis task in gravitational-wave astronomy. To deal with the increasing detection rate of CBC signals, optimizing the parameter…

广义相对论与量子宇宙学 · 物理学 2022-07-13 Eunsub Lee , Soichiro Morisaki , Hideyuki Tagoshi

We propose a very fast approximate Markov Chain Monte Carlo (MCMC) sampling framework that is applicable to a large class of sparse Bayesian inference problems, where the computational cost per iteration in several models is of order…

统计计算 · 统计学 2021-08-17 Yves Atchadé , Liwei Wang

Advances in digital sensors, digital data storage and communications have resulted in systems being capable of accumulating large collections of data. In the light of dealing with the challenges that massive data present, this work proposes…

统计计算 · 统计学 2015-12-09 Allan De Freitas , François Septier , Lyudmila Mihaylova

Using the \texttt{lalinference} Markov-chain Monte Carlo parameter estimation code, we examine two distinct nonprecessing black hole-neutron star (BH-NS) binaries with and without higher-order harmonics. Our simulations suggest that higher…

广义相对论与量子宇宙学 · 物理学 2014-03-26 R. O'Shaughnessy , B. Farr , E. Ochsner , Hee-Suk Cho , C. Kim , Chang-Hwan Lee

The detection of gravitational waves from extreme-mass-ratio inspirals (EMRIs) in space-borne antennas like Taiji and LISA promises deep insights into strong-field gravity and black hole physics. However, the complex, highly degenerate, and…

Space-borne gravitational wave detectors will expand the scope of gravitational wave astronomy to the milli-Hertz band in the near future. The development of data analysis software infrastructure at the current stage is crucial. In this…

广义相对论与量子宇宙学 · 物理学 2026-02-13 Rui Niu , Chang Feng , Wen Zhao

Bayesian inference in the physical sciences faces a fundamental challenge: the imperative for high-fidelity physical modeling often clashes with the intrinsic limitations of stochastic sampling algorithms. Complex, high-dimensional…

天体物理仪器与方法 · 物理学 2026-04-09 Bo Liang , Chang Liu , Hanlin Song , Tianyu Zhao , Minghui Du , He Wang , Haohao Gu , Sensen He , Yuxiang Xu , Wei-Liang Qian , Li-e Qiang , Peng Xu , Ziren Luo , Mingming Sun

The Laser Interferometer Space Antenna (LISA) is expected to simultaneously detect many thousands of low frequency gravitational wave signals. This presents a data analysis challenge that is very different to the one encountered in ground…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Neil J. Cornish , Jeff Crowder

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.…

天体物理仪器与方法 · 物理学 2023-10-11 Nikolaos Karnesis , Michael L. Katz , Natalia Korsakova , Jonathan R. Gair , Nikolaos Stergioulas

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Nelson Christensen , Renate Meyer

The recent detection of nanohertz stochastic gravitational-wave backgrounds (SGWBs) by pulsar timing arrays (PTAs) promises unique insights into astrophysical and cosmological origins. However, traditional Markov Chain Monte Carlo (MCMC)…

宇宙学与河外天体物理 · 物理学 2025-06-12 Junrong Lai , Changhong Li

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

We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

宇宙学与河外天体物理 · 物理学 2020-06-03 Adam Moss

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

广义相对论与量子宇宙学 · 物理学 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Searching for gravitational waves in pulsar timing array data is computationally intensive. The data is unevenly sampled, and the noise is heteroscedastic, necessitating the use of a time-domain likelihood function with attendant expensive…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Bence Bécsy , Neil J. Cornish , Matthew C. Digman
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