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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

When solving stochastic partial differential equations (SPDEs) driven by additive spatial white noise, the efficient sampling of white noise realizations can be challenging. Here, we present a new sampling technique that can be used to…

数值分析 · 数学 2023-01-10 Matteo Croci , Michael B. Giles , Marie E. Rognes , Patrick E. Farrell

This paper reports the first search for stellar-origin binary black holes within the LISA Data Challenges (LDC). The search algorithm and the \Yorsh{} LDC datasets, both previously described elsewhere, are only summarized briefly; the…

广义相对论与量子宇宙学 · 物理学 2025-02-18 Diganta Bandopadhyay , Christopher J. Moore

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

机器学习 · 计算机科学 2015-02-25 Jacob Steinhardt , Percy Liang

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

Inference after model selection presents computational challenges when dealing with intractable conditional distributions. Markov chain Monte Carlo (MCMC) is a common method for sampling from these distributions, but its slow convergence…

统计方法学 · 统计学 2023-08-22 Sifan Liu

We report on the performance of an end-to-end Bayesian analysis pipeline for detecting and characterizing galactic binary signals in simulated LISA data. Our principal analysis tool is the Blocked-Annealed Metropolis Hasting (BAM)…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Jeff Crowder , Neil J. Cornish

Markov Chain Monte Carlo (MCMC) methods for sampling probability density functions (combined with abundant computational resources) have transformed the sciences, especially in performing probabilistic inferences, or fitting models to data.…

天体物理仪器与方法 · 物理学 2018-05-23 David W. Hogg , Daniel Foreman-Mackey

Recent attempts to constrain cosmological variation in the fine structure constant, alpha, using quasar absorption lines have yielded two statistical samples which initially appear to be inconsistent. One of these samples was subsequently…

宇宙学与河外天体物理 · 物理学 2009-10-16 Julian A. King , Daniel J. Mortlock , John K. Webb , Michael T. Murphy

Space-based gravitational wave (GW) detectors, such as LISA, are expected to detect thousands of Galactic close white dwarf binaries emitting nearly monochromatic GWs. In this study, we demonstrate that LISA is reasonably likely to detect…

高能天体物理现象 · 物理学 2025-08-13 Naoki Seto

Approximate Markov chain Monte Carlo (MCMC) offers the promise of more rapid sampling at the cost of more biased inference. Since standard MCMC diagnostics fail to detect these biases, researchers have developed computable Stein discrepancy…

机器学习 · 统计学 2020-10-16 Jackson Gorham , Lester Mackey

We present a parameter estimation procedure based on a Bayesian framework by applying a Markov Chain Monte Carlo algorithm to the calibration of the dynamical parameters of a space based gravitational wave detector. The method is based on…

广义相对论与量子宇宙学 · 物理学 2012-12-03 Luigi Ferraioli , Edward K. Porter , Eric Plagnol

In the coming decade, the millihertz gravitational wave observatory LISA will provide the best constraints yet on the tens of thousands of close white dwarf binaries in the Milky Way, yielding unprecedented insights into the most abundant…

太阳与恒星天体物理 · 物理学 2026-05-08 Kyle Kremer , Katelyn Breivik , Claire S. Ye

We propose a machine learning-based approach for parameter estimation of Massive Black Hole Binaries (MBHBs), leveraging normalizing flows to approximate the likelihood function. By training these flows on simulated data, we can generate…

广义相对论与量子宇宙学 · 物理学 2025-09-18 Iván Martín Vílchez , Carlos F. Sopuerta

Gravitational waves from the inspiral and coalescence of supermassive black-hole (SMBH) binaries with masses ~10^6 Msun are likely to be among the strongest sources for the Laser Interferometer Space Antenna (LISA). We describe a…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Duncan A. Brown , Jeff Crowder , Curt Cutler , Ilya Mandel , Michele Vallisneri

In statistical analysis, Monte Carlo (MC) stands as a classical numerical integration method. When encountering challenging sample problem, Markov chain Monte Carlo (MCMC) is a commonly employed method. However, the MCMC estimator is biased…

数值分析 · 数学 2024-11-05 Jiarui Du , Zhijian He

We develop an accurate simulation-based inference framework for high-mass ($\gtrsim\!10^7 \rm{M_\odot}$) black-hole binaries observable by LISA. The method is implemented within the DINGO gravitational-wave parameter-estimation code,…

The upcoming Laser Interferometer Space Antenna (LISA) will detect a large gravitational-wave foreground of Galactic white dwarf binaries. These sources are exceptional for their probable detection at electromagnetic wavelengths, some long…

We consider the discrete-time filtering problem in scenarios where the observation noise is degenerate or low. More precisely, one is given access to a discrete time observation sequence which at any time $k$ depends only on the state of an…

统计计算 · 统计学 2025-11-17 Abylay Zhumekenov , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

Efficient sampling of complex high-dimensional probability distributions is a central task in computational science. Machine learning methods like autoregressive neural networks, used with Markov chain Monte Carlo sampling, provide good…

统计力学 · 物理学 2021-11-11 Dian Wu , Riccardo Rossi , Giuseppe Carleo