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Parameter estimation of gravitational wave signals is computationally intensive and typically requires millions of likelihood evaluations to construct posterior probability distributions. This computational cost increases significantly in…

广义相对论与量子宇宙学 · 物理学 2026-01-19 Neha Sharma , Aditya Vijaykumar , Prayush Kumar

The number of gravitational wave signals from the merger of compact binary systems detected in the network of advanced LIGO and Virgo detectors is expected to increase considerably in the upcoming science runs. Once a confident detection is…

广义相对论与量子宇宙学 · 物理学 2024-02-21 Lalit Pathak , Sanket Munishwar , Amit Reza , Anand S. Sengupta

We propose a novel use of a recent new computational tool for Bayesian inference, namely the Approximate Bayesian Computation (ABC) methodology. ABC is a way to handle models for which the likelihood function may be intractable or even…

统计计算 · 统计学 2014-03-04 Clara Grazian , Brunero Liseo

We design and analyze unbiased Markov chain Monte Carlo (MCMC) schemes based on couplings of blocked Gibbs samplers (BGSs), whose total computational costs scale linearly with the number of parameters and data points. Our methodology is…

统计计算 · 统计学 2026-03-03 Paolo Maria Ceriani , Andrea Pandolfi , Giacomo Zanella

Gravitational-wave observations have the capability to strongly differentiate between different assumptions for how binary compact objects form. In this work, we show how to carefully interpolate a marginal likelihood between choices of…

广义相对论与量子宇宙学 · 物理学 2023-07-11 Vera Delfavero , Richard O'Shaughnessy , Krzysztof Belczynski , Paweł Drozda , Daniel Wysocki

We report a gravitational-wave parameter estimation algorithm, AMPLFI, based on likelihood-free inference using normalizing flows. The focus of AMPLFI is to perform real-time parameter estimation for candidates detected by machine-learning…

Recent discoveries of gravitational wave (GW) signals from astrophysical compact binary systems of neutron stars and black holes have firmly established them as prime sources for advanced GW detectors. Theoretical templates of expected…

广义相对论与量子宇宙学 · 物理学 2019-02-04 Soumen Roy , Anand S. Sengupta , Parameswaran Ajith

This article surveys computational methods for posterior inference with intractable likelihoods, that is where the likelihood function is unavailable in closed form, or where evaluation of the likelihood is infeasible. We review recent…

统计计算 · 统计学 2020-04-10 Matthew T. Moores , Anthony N. Pettitt , Kerrie Mengersen

Bayesian inference methods such as Markov Chain Monte Carlo (MCMC) typically require repeated computations of the likelihood function, but in some scenarios this is infeasible and alternative methods are needed. Simulation-based inference…

机器学习 · 计算机科学 2025-12-10 Linnea M Wolniewicz , Peter Sadowski , Claudio Corti

We address the problem of likelihood based inference for correlated diffusion processes using Markov chain Monte Carlo (MCMC) techniques. Such a task presents two interesting problems. First, the construction of the MCMC scheme should…

统计金融 · 定量金融 2008-12-02 Konstantinos Kalogeropoulos , Petros Dellaportas , Gareth O. Roberts

In this study the common least-squares minimization approach is compared to the Bayesian updating procedure. In the content of material parameter identification the posterior parameter density function is obtained from its prior and the…

数据分析、统计与概率 · 物理学 2024-08-12 Thomas Most

With the next generation of both electromagnetic and gravitational wave observatories beginning to come online, rapid analysis methods for kilonova data are becoming increasingly important in astronomy. Traditional Bayesian parameter…

Low-latency pipelines analyzing gravitational waves from compact binary coalescence events rely on matched filter techniques. Limitations in template banks and waveform modeling, as well as non-stationary detector noise cause errors in…

广义相对论与量子宇宙学 · 物理学 2025-08-21 Sushant Sharma Chaudhary , Gianmarco Puleo , Marco Cavaglia

Approximate Bayesian Computational (ABC) methods (or likelihood-free methods) have appeared in the past fifteen years as useful methods to perform Bayesian analyses when the likelihood is analytically or computationally intractable. Several…

统计方法学 · 统计学 2012-05-01 Meili Baragatti , Agnès Grimaud , Denys Pommeret

The coherent WaveBurst (cWB) pipeline implements a minimally-modelled search to find a coherent response in the network of gravitational wave detectors of the LIGO-Virgo Collaboration in the time-frequency domain. In this manuscript, we…

广义相对论与量子宇宙学 · 物理学 2022-03-02 O. Halim , G. Vedovato , E. Milotti , G. A. Prodi , S. Bini , M. Drago , V. Gayathri , C. Lazzaro , D. Lopez , A. Miani , B. O'Brien , F. Salemi , M. Szczepanczyk , S. Tiwari , A. Virtuoso , S. Klimenko

We propose a novel method to test the consistency of the multipole moments of compact binary systems with the predictions of General Relativity (GR). The multipole moments of a compact binary system, known in terms of symmetric and…

广义相对论与量子宇宙学 · 物理学 2019-01-16 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

The composite likelihood (CL) is amongst the computational methods used for the estimation of high-dimensional multivariate normal (MVN) copula models with discrete responses. Its computational advantage, as a surrogate likelihood method,…

统计方法学 · 统计学 2022-03-10 Aristidis K. Nikoloulopoulos

In the following article we consider approximate Bayesian computation (ABC) for certain classes of time series models. In particular, we focus upon scenarios where the likelihoods of the observations and parameter are intractable, by which…

统计计算 · 统计学 2014-01-03 Ajay Jasra

Relative binning is a new method for fast and accurate evaluation of the likelihood of gravitational wave strain data. This technique can be used to produce reliable posterior distributions for compact object mergers with very moderate…

广义相对论与量子宇宙学 · 物理学 2018-08-03 Liang Dai , Tejaswi Venumadhav , Barak Zackay

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

统计计算 · 统计学 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio