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We demonstrate the use of automatic Bayesian inference for the analysis of LISA data sets. In particular we describe a new automatic Reversible Jump Markov Chain Monte Carlo method to evaluate the posterior probability density functions of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Stroeer , Jonathan Gair , Alberto Vecchio

In this work we use genetic algorithm to search for the gravitational wave signal from the inspiralling massive Black Hole binaries in the simulated LISA data. We consider a single signal in the Gaussian instrumental noise. This is a first…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Antoine Petiteau , Yu Shang , Stanislav Babak

The future space based gravitational wave detector LISA (Laser Interferometer Space Antenna) will observe millions of Galactic binaries constantly present in the data stream. A small fraction of this population (of the order of several…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Natalia Korsakova , Stanislav Babak , Michael L. Katz , Nikolaos Karnesis , Sviatoslav Khukhlaev , Jonathan R. Gair

Combining multiple events into population analyses is a cornerstone of gravitational-wave astronomy. A critical component of such studies is the assumed population model, which can range from astrophysically motivated functional forms to…

High Energy Astrophysical Phenomena · Physics 2025-05-21 Cecilia Maria Fabbri , Davide Gerosa , Alessandro Santini , Matthew Mould , Alexandre Toubiana , Jonathan Gair

We present a novel method for sampling iso-likelihood contours in nested sampling using a type of machine learning algorithm known as normalising flows and incorporate it into our sampler nessai. Nessai is designed for problems where…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Michael J. Williams , John Veitch , Chris Messenger

Here we present an investigation into using nested sampling algorithms in cosmological likelihood analysis. We present a new nested sampling algorithm, ESNested, that uses Evolution Strategies for sample proposals. This quickly finds the…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-28 M. Axiak , T. D. Kitching , J. I. van Hemert

We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

Metropolis nested sampling evolves a Markov chain from a current livepoint and accepts new points along the chain according to a version of the Metropolis acceptance ratio modified to satisfy the likelihood constraint, characteristic of…

Computation · Statistics 2020-02-11 Kamran Javid

We describe updates and improvements to the BayesWave gravitational wave transient analysis pipeline, and provide examples of how the algorithm is used to analyze data from ground-based gravitational wave detectors. BayesWave models…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Neil J. Cornish , Tyson B. Littenberg , Bence Bécsy , Katerina Chatziioannou , James A. Clark , Sudarshan Ghonge , Margaret Millhouse

The scientific impact of GW170817 strongly supports the need for an efficient electromagnetic follow-up campaign to gravitational-wave event candidates. The success of such campaigns depends critically on a fast and accurate localization of…

High Energy Astrophysical Phenomena · Physics 2025-02-19 Gabriele Demasi , Giulia Capurri , Angelo Ricciardone , Barbara Patricelli , Massimo Lenti , Walter Del Pozzo

Detecting continuous nanohertz gravitational waves (GWs) generated by individual close binaries of supermassive black holes (CB-SMBHs) is one of the primary objectives of pulsar timing arrays (PTAs). The detection sensitivity is slated to…

Instrumentation and Methods for Astrophysics · Physics 2021-12-08 Yu-Yang Songsheng , Yi-Qian Qian , Yan-Rong Li , Pu Du , Jie-Wen Chen , Yan Wang , Soumya D. Mohanty , Jian-Min Wang

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

Approximations are commonly employed in realistic applications of scientific Bayesian inference, often due to convenience if not necessity. In the field of gravitational-wave (GW) data analysis, fast-to-evaluate but approximate waveform…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Ruiting Mao , Jeong Eun Lee , Ollie Burke , Alvin J. K. Chua , Matthew C. Edwards , Renate Meyer

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

Traditionally, gravitational waves are detected with techniques such as matched filtering or unmodeled searches based on wavelets. However, in the case of generic black hole binaries with non-aligned spins, if one wants to explore the whole…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Paraskevi Nousi , Alexandra E. Koloniari , Nikolaos Passalis , Panagiotis Iosif , Nikolaos Stergioulas , Anastasios Tefas

The LIGO-Virgo collaboration uses a variety of techniques to detect and characterize gravitational waves. One approach is to use templates - models for the signals derived from Einstein's equations. Another approach is to extract the…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Margaret Millhouse , Neil J. Cornish , Tyson Littenberg

Nested sampling (NS) computes parameter posterior distributions and makes Bayesian model comparison computationally feasible. Its strengths are the unsupervised navigation of complex, potentially multi-modal posteriors until a well-defined…

Computation · Statistics 2023-07-11 Johannes Buchner

All scientific claims of gravitational wave discovery to date rely on the offline statistical analysis of candidate observations in order to quantify significance relative to background processes. The current foundation in such offline…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Michael Andrews , Manfred Paulini , Luke Sellers , Alexey Bobrick , Gianni Martire , Haydn Vestal

This thesis investigates algorithms regarding their applicability for highly nonlinear model fitting on big datasets. Various mathematical methods are presented with which a model fit using the least squares criterion is possible. Special…

Instrumentation and Methods for Astrophysics · Physics 2017-12-20 Robin Geyer

We seek to achieve the Holy Grail of Bayesian inference for gravitational-wave astronomy: using deep-learning techniques to instantly produce the posterior $p(\theta|D)$ for the source parameters $\theta$, given the detector data $D$. To do…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Alvin J. K. Chua , Michele Vallisneri