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相关论文: MatBYIB: A Matlab-based code for Bayesian inferenc…

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The accuracy of Bayesian inference can be negatively affected by the use of inaccurate forward models. In the case of gravitational-wave inference, accurate but computationally expensive waveform models are sometimes substituted with faster…

天体物理仪器与方法 · 物理学 2024-04-02 Miaoxin Liu , Xiao-Dong Li , Alvin J. K. Chua

A natural way to quantify uncertainties in Gaussian mixture models (GMMs) is through Bayesian methods. That said, sampling from the joint posterior distribution of GMMs via standard Markov chain Monte Carlo (MCMC) imposes several…

统计方法学 · 统计学 2024-05-20 Santiago Marin , Bronwyn Loong , Anton H. Westveld

Eccentricity of compact binaries can improve the parameter estimation of gravitational waves (GWs). In this paper, we first investigate the parameter estimation of eccentric GWs with decihertz observatory. We consider two scenarios for the…

广义相对论与量子宇宙学 · 物理学 2023-03-02 Tao Yang , Rong-Gen Cai , Zhoujian Cao , Hyung Mok Lee

Parameterised models that predict the gravitational-wave (GW) signal from merging black holes are used to extract source properties from GW observations. The majority of research in this area has focused on developing methods capable of…

广义相对论与量子宇宙学 · 物理学 2024-09-09 Sebastian Khan

Mixed-resolution architectures, combining high-resolution (analog) data with coarsely quantized (e.g., 1-bit) data, are widely employed in emerging communication and radar systems to reduce hardware costs and power consumption. However, the…

信号处理 · 电气工程与系统科学 2025-08-29 Yaniv Mazor , Tirza Routtenberg

We develop an empirical Bayes (EB) algorithm for the matrix completion problems. The EB algorithm is motivated from the singular value shrinkage estimator for matrix means by Efron and Morris (1972). Since the EB algorithm is essentially…

机器学习 · 统计学 2019-04-10 Takeru Matsuda , Fumiyasu Komaki

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

广义相对论与量子宇宙学 · 物理学 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

In this paper we discuss the development of a fast and accurate waveform model for the quasi-circular orbital evolution of extreme-mass-ratio-inspirals (EMRIs). This model simply employs the data of a few numerical Teukoulsky-based energy…

广义相对论与量子宇宙学 · 物理学 2016-09-23 Wen-Biao Han

Once a gravitational wave signal is detected, the measurement of its source parameters is important to achieve various scientific goals. This is done through Bayesian inference, where the analysis cost increases with the model complexity…

广义相对论与量子宇宙学 · 物理学 2023-08-29 Harsh Narola , Justin Janquart , Quirijn Meijer , K. Haris , Chris Van Den Broeck

One approach to testing general relativity (GR) introduces free parameters in the post-Newtonian (PN) expansion of the gravitational-wave (GW) phase. If systematic errors on these testing GR (TGR) parameters exceed the statistical errors,…

广义相对论与量子宇宙学 · 物理学 2024-05-14 Pankaj Saini , Sajad A. Bhat , Marc Favata , K. G. Arun

The PE for GW merger events relies on a waveform model calibrated using numerical simulations. Within the Bayesian framework, this waveform model represents the GW signal produced during the merger and is crucial for estimating the…

广义相对论与量子宇宙学 · 物理学 2025-11-25 Sumit Kumar , Max Melching , Frank Ohme

The field of gravitational waves is rapidly progressing due to the noticeable advancements in the sensitivity of gravitational-wave detectors that has enabled the detection prospects of binary black hole mergers. Extreme mass ratio inspiral…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Mostafizur Rahman , Shailesh Kumar , Arpan Bhattacharyya

We present a first-stage study of the effect of using knowledge from electromagnetic (EM) observations in the gravitational wave (GW) data analysis of Galactic binaries that are predicted to be observed by the new Laser Interferometer Space…

天体物理仪器与方法 · 物理学 2015-06-05 Sweta Shah , Marc van der Sluys , Gijs Nelemans

The second generation of gravitational-wave detectors is scheduled to start operations in 2015. Gravitational-wave signatures of compact binary coalescences could be used to accurately test the strong-field dynamical predictions of general…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Walter Del Pozzo , Katherine Grover , Ilya Mandel , Alberto Vecchio

We present a new effective-one-body (EOB) model for eccentric binary coalescences. The model stems from the state-of-the-art model TEOBResumS$\_$SM for circularized coalescing black-hole binaries, that is modified to explicitly incorporate…

广义相对论与量子宇宙学 · 物理学 2020-10-29 Danilo Chiaramello , Alessandro Nagar

We explore the precision with which the Einstein Telescope (ET) will be able to measure the parameters of intermediate-mass-ratio inspirals (IMRIs). We calculate the parameter estimation errors using the Fisher Matrix formalism and present…

广义相对论与量子宇宙学 · 物理学 2015-03-17 E. A. Huerta , Jonathan R. Gair

We study Bayesian methods for large-scale linear inverse problems, focusing on the challenging task of hyperparameter estimation. Typical hierarchical Bayesian formulations that follow a Markov Chain Monte Carlo approach are possible for…

数值分析 · 数学 2024-01-05 Khalil A Hall-Hooper , Arvind K Saibaba , Julianne Chung , Scot M Miller

Gravitational lensing of gravitational waves (GWs) provides a unique opportunity to study cosmology and astrophysics at multiple scales. Detecting microlensing signatures, in particular, requires efficient parameter estimation methods due…

广义相对论与量子宇宙学 · 物理学 2025-05-02 Roberto Bada-Nerin , Oleg Bulashenko , Osvaldo Gramaxo Freitas , José A. Font

Using simple, intuitive arguments, we discuss the expected accuracy with which astrophysical parameters can be extracted from an observed gravitational wave signal. The observation of a chirp like signal in the data allows for measurement…

广义相对论与量子宇宙学 · 物理学 2023-09-18 Stephen Fairhurst , Charlie Hoy , Rhys Green , Cameron Mills , Samantha A. Usman