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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

Suppose a small compact object (black hole or neutron star) of mass $m$ orbits a large black hole of mass $M \gg m$. This system emits gravitational waves (GWs) that have a radiation-reaction effect on the particle's motion. EMRIs…

广义相对论与量子宇宙学 · 物理学 2011-02-15 Jonathan Thornburg

We introduce a new kludge scheme to model the dynamics of generic extreme mass-ratio inspirals (stellar compact objects spiraling into a spinning supermassive black hole) and to produce the gravitational waveforms that describe the…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Carlos F. Sopuerta , Nicolás Yunes

We assess the value of machine learning as an accelerator for the parameterisation schemes of operational weather forecasting systems, specifically the parameterisation of non-orographic gravity wave drag. Emulators of this scheme can be…

大气与海洋物理 · 物理学 2021-08-11 Matthew Chantry , Sam Hatfield , Peter Duben , Inna Polichtchouk , Tim Palmer

The detection of the gravitational waves emitted in the capture process of a compact object by a massive black hole is known as an extreme-mass ratio inspiral (EMRI) and represents a unique probe of gravity in the strong regime and is one…

星系天体物理 · 物理学 2019-07-03 Pau Amaro-Seoane

Researchers increasingly wish to estimate time-varying parameter (TVP) regressions which involve a large number of explanatory variables. Including prior information to mitigate over-parameterization concerns has led to many using Bayesian…

计量经济学 · 经济学 2020-02-25 Florian Huber , Gary Koop , Michael Pfarrhofer

The extreme-mass-ratio inspirals (EMRIs) of stellar-mass compact objects into massive black holes are an important class of source for the future space-based gravitational-wave detector LISA. Detecting signals from EMRIs will require…

广义相对论与量子宇宙学 · 物理学 2017-08-11 Alvin J. K. Chua , Christopher J. Moore , Jonathan R. Gair

Presented is a description of a Markov chain Monte Carlo (MCMC) parameter estimation routine for use with interferometric gravitational radiational data in searches for binary neutron star inspiral signals. Five parameters associated with…

广义相对论与量子宇宙学 · 物理学 2016-08-16 Christian Röver , Renate Meyer , Nelson Christensen

MRI systems are traditionally engineered to produce close to idealized performance, enabling a simplified pulse sequence design philosophy. An example of this is control of eddy currents produced by gradient fields; usually these are…

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

机器学习 · 统计学 2022-03-02 Yingzhi Xia , Nicholas Zabaras

Solving Bayesian inference problems approximately with variational approaches can provide fast and accurate results. Capturing correlation within the approximation requires an explicit parametrization. This intrinsically limits this…

机器学习 · 统计学 2020-01-31 Jakob Knollmüller , Torsten A. Enßlin

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

Gaussian Process (GP) models are widely utilized as surrogate models in scientific and engineering fields. However, standard GP models are limited to continuous variables due to the difficulties in establishing correlation structures for…

机器学习 · 统计学 2025-03-05 Mingyu Pu , Songhao Wang , Haowei Wang , Szu Hui Ng

Extreme mass-ratio inspirals (EMRIs) are one of the key sources of gravitational waves for space-based detectors such as LISA. However, their detection remains a major data analysis challenge due to the signals' complexity and length. We…

广义相对论与量子宇宙学 · 物理学 2026-01-28 Lorenzo Speri , Rodrigo Tenorio , Christian Chapman-Bird , Davide Gerosa

Probabilistic inversion methods based on Markov chain Monte Carlo (MCMC) simulation are well suited to quantify parameter and model uncertainty of nonlinear inverse problems. Yet, application of such methods to CPU-intensive forward models…

地球物理 · 物理学 2017-01-11 M. Rosas-Carbajal , N. Linde , T. Kalscheuer , J. A. Vrugt

PyVBMC is a Python implementation of the Variational Bayesian Monte Carlo (VBMC) algorithm for posterior and model inference for black-box computational models (Acerbi, 2018, 2020). VBMC is an approximate inference method designed for…

机器学习 · 统计学 2023-06-29 Bobby Huggins , Chengkun Li , Marlon Tobaben , Mikko J. Aarnos , Luigi Acerbi

The ensemble Kalman filter (EnKF) is a Monte Carlo approximation of the Kalman filter for high dimensional linear Gaussian state space models. EnKF methods have also been developed for parameter inference of static Bayesian models with a…

We propose a novel exponentially-modified Gaussian (EMG) mixture residual model. The EMG mixture is well suited to model residuals that are contaminated by a distribution with positive support. This is in contrast to commonly used robust…

机器学习 · 统计学 2019-02-18 Sebastian Ament , John Gregoire , Carla Gomes

Extreme mass-ratio inspirals (EMRIs), comprising a stellar-mass compact object (CO) orbiting a supermassive black hole (BH), are key targets for future space-based gravitational-wave (GW) observatories. Incorporating the spin of the…

高能天体物理现象 · 物理学 2026-03-26 Qiuxin Cui , Wen-Biao Han

Exascale computing delivers the raw power to simulate ever larger and more chemically realistic systems, but realizing this potential requires codes that can efficiently use thousands of processors. Our real-space multigrid (RMG) density…

材料科学 · 物理学 2026-01-19 R. J. Morelock , S. Bagchi , E. L. Briggs , W. Lu , J. Bernholc , P. Ganesh