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Gravitational-wave astronomy provides a promising avenue for the discovery of new physics beyond general relativity as it probes extreme curvature and ultra-relativistic dynamics. However, in the absence of a compelling alternative to…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Lachlan Passenger , Shun Yin Cheung , Nir Guttman , Nikhil Kannachel , Paul D. Lasky , Eric Thrane

We present a general framework for incorporating astrophysical information into Bayesian parameter estimation techniques used by gravitational wave data analysis to facilitate multi-messenger astronomy. Since the progenitors of transient…

High Energy Astrophysical Phenomena · Physics 2014-10-14 XiLong Fan , Christopher Messenger , Ik Siong Heng

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

Methodology · Statistics 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto

This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Martin D. Weinberg

The goal of this thesis is twofold; introduce the fundamentals of Bayesian inference and computation focusing on astronomical and cosmological applications, and present recent advances in probabilistic computational methods developed by the…

Instrumentation and Methods for Astrophysics · Physics 2023-03-31 Minas Karamanis

Gravitational wave data are often contaminated by non-Gaussian noise transients, glitches, which can bias the inference of astrophysical signal parameters. Traditional approaches either subtract glitches in a pre-processing step, or a…

General Relativity and Quantum Cosmology · Physics 2025-08-01 Ann-Kristin Malz , John Veitch

Gravitational wave Bayesian parameter inference involves repeated comparisons of GW data to generic candidate predictions. Even with algorithmically efficient methods like RIFT or reduced-order quadrature, the time needed to perform these…

Instrumentation and Methods for Astrophysics · Physics 2019-04-24 D. Wysocki , R. O'Shaughnessy , Y-L. L. Fang , Jacob Lange

Over the past decade and a half, adoption of Bayesian inference in pulsar timing analysis has led to increasingly sophisticated models. The recent announcement of evidence for a stochastic background of gravitational waves by various pulsar…

Instrumentation and Methods for Astrophysics · Physics 2024-11-28 Rutger van Haasteren

Efficiently sampling from high-dimensional, multi-modal posteriors is a central challenge in Bayesian inference for astrophysics, especially gravitational-wave astronomy. Popular families of methods like Markov-chain Monte Carlo, nested…

Instrumentation and Methods for Astrophysics · Physics 2026-03-26 Miaoxin Liu , Alvin J. K. Chua

In the gravitational-wave analysis of pulsar-timing-array datasets, parameter estimation is usually performed using Markov Chain Monte Carlo methods to explore posterior probability densities. We introduce an alternative procedure that…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Michele Vallisneri , Marco Crisostomi , Aaron D. Johnson , Patrick M. Meyers

We combine amortized neural posterior estimation with importance sampling for fast and accurate gravitational-wave inference. We first generate a rapid proposal for the Bayesian posterior using neural networks, and then attach importance…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Maximilian Dax , Stephen R. Green , Jonathan Gair , Michael Pürrer , Jonas Wildberger , Jakob H. Macke , Alessandra Buonanno , Bernhard Schölkopf

In order to separate astrophysical gravitational-wave signals from instrumental noise, which often contains transient non-Gaussian artifacts, astronomers have traditionally relied on bootstrap methods such as time slides. Bootstrap methods…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Gregory Ashton , Eric Thrane , Rory J. E. Smith

Nested sampling (NS) is the preferred stochastic sampling algorithm for gravitational-wave inference for compact binary coalenscences (CBCs). It can handle the complex nature of the gravitational-wave likelihood surface and provides an…

Instrumentation and Methods for Astrophysics · Physics 2025-10-08 Michael J. Williams , Minas Karamanis , Yilin Luo , Uroš Seljak

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

Methodology · Statistics 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee

Many traditional algorithms applied in gravitational-wave astronomy rely on the assumption of Gaussian noise, a condition not always met. To meet this need, this study extends a robust statistical framework, advancing previous work on…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Argyro Sasli , Minas Karamanis , Nikolaos Karnesis , Michael W. Coughlin , Vuk Mandic , Uroš Seljak , Nikolaos Stergioulas

We introduce a scalable approach to Gaussian process inference that combines spatio-temporal filtering with natural gradient variational inference, resulting in a non-conjugate GP method for multivariate data that scales linearly with…

Machine Learning · Computer Science 2021-11-03 Oliver Hamelijnck , William J. Wilkinson , Niki A. Loppi , Arno Solin , Theodoros Damoulas

Finding and characterizing gravitational waves from individual supermassive black hole binaries is a central goal of pulsar timing array experiments, which will require analysis methods that can be efficient on our rapidly growing datasets.…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Bence Bécsy

A central question in multimodal neuroimaging analysis is to understand the association between two imaging modalities and to identify brain regions where such an association is statistically significant. In this article, we propose a…

Methodology · Statistics 2024-11-28 Moyan Li , Lexin Li , Jian Kang