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Glitches represent a category of non-Gaussian and transient noise that frequently intersects with gravitational wave (GW) signals, exerting a notable impact on the processing of GW data. The inference of GW parameters, crucial for GW…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Tian-Yang Sun , Chun-Yu Xiong , Shang-Jie Jin , Yu-Xin Wang , Jing-Fei Zhang , Xin Zhang

Gaussian Processes (GPs) can be used as flexible, non-parametric function priors. Inspired by the growing body of work on Normalizing Flows, we enlarge this class of priors through a parametric invertible transformation that can be made…

Machine Learning · Computer Science 2021-02-26 Juan Maroñas , Oliver Hamelijnck , Jeremias Knoblauch , Theodoros Damoulas

The analysis of gravitational wave interferometer data requires estimates for the noise covariance matrix. For stationary noise, this amounts to estimating the power spectrum. Classical methods such as Welch averaging are used in many…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Toral Gupta , Neil Cornish

In cryo-electron microscopy (EM), molecular structures are determined from large numbers of projection images of individual particles. To harness the full power of this single-molecule information, we use the Bayesian inference of EM…

Biomolecules · Quantitative Biology 2018-01-17 Pilar Cossio , David Rohr , Fabio Baruffa , Markus Rampp , Volker Lindenstruth , Gerhard Hummer

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…

Instrumentation and Methods for Astrophysics · Physics 2024-04-02 Miaoxin Liu , Xiao-Dong Li , Alvin J. K. Chua

Recently, Gaussian processes have been used to model the vector field of continuous dynamical systems, referred to as GPODEs, which are characterized by a probabilistic ODE equation. Bayesian inference for these models has been extensively…

Machine Learning · Computer Science 2025-08-11 Jian Xu , Shian Du , Junmei Yang , Xinghao Ding , John Paisley , Delu Zeng

We present a parameter estimation framework for gravitational wave (GW) signals that brings together several ideas to accelerate the inference process. First, we use the relative binning algorithm to evaluate the signal-to-noise-ratio…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Tousif Islam , Javier Roulet , Tejaswi Venumadhav

We propose parameterizing the population distribution of the gravitational wave population modeling framework (Hierarchical Bayesian Analysis) with a normalizing flow. We first demonstrate the merit of this method on illustrative…

Instrumentation and Methods for Astrophysics · Physics 2023-01-02 David Ruhe , Kaze Wong , Miles Cranmer , Patrick Forré

A yet undetected class of GW signals is represented by the close encounters between compact objects in highly-eccentric e~1 orbits, that can occur in binary systems formed in dense environments such as globular clusters. The expected…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Federico De Santi , Massimiliano Razzano , Francesco Fidecaro , Luca Muccillo , Lucia Papalini , Barbara Patricelli

Once upon a time, predictions for the accuracy of inference on gravitational-wave signals relied on computationally inexpensive but often inaccurate techniques. Recently, the approach has shifted to actual inference on noisy signals with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-09 Carl-Johan Haster , Ilya Mandel , Will M. Farr

We present a machine learning approach using normalising flows for inferring cosmological parameters from gravitational wave events. Our methodology is general to any type of compact binary coalescence event and cosmological model and…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Federico Stachurski , Christopher Messenger , Martin Hendry

Mathematical models implemented on a computer have become the driving force behind the acceleration of the cycle of scientific processes. This is because computer models are typically much faster and economical to run than physical…

Computation · Statistics 2021-07-05 Vojtech Kejzlar , Mookyong Son , Shrijita Bhattacharya , Tapabrata Maiti

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

In this paper we report the prototype of the first coalescing binary detection pipeline fully implemented on NVIDIA GPU hardware accelerators. The code has been embedded in a GPU library, called cuInspiral and has been developed under CUDA…

General Relativity and Quantum Cosmology · Physics 2010-06-25 Leone B. Bosi

We present a detailed study of Bayesian inference workflows for pulsar timing array data with a focus on enhancing efficiency, robustness and speed through the use of normalizing flow-based nested sampling. Building on the Enterprise…

Instrumentation and Methods for Astrophysics · Physics 2025-11-05 Eleonora Villa , Golam Mohiuddin Shaifullah , Andrea Possenti , Carmelita Carbone

We present the learned harmonic mean estimator with normalizing flows - a robust, scalable and flexible estimator of the Bayesian evidence for model comparison. Since the estimator is agnostic to sampling strategy and simply requires…

Instrumentation and Methods for Astrophysics · Physics 2025-10-28 Alicja Polanska , Matthew A. Price , Davide Piras , Alessio Spurio Mancini , Jason D. McEwen

Future ground-based and space-borne interferometric gravitational-wave detectors may capture between tens and thousands of binary coalescence events per year. There is a significant and growing body of work on the estimation of…

High Energy Astrophysical Phenomena · Physics 2010-04-23 Ilya Mandel

Pulsar timing arrays (PTAs) perform Bayesian posterior inference with expensive MCMC methods. Given a dataset of ~10-100 pulsars and O(10^3) timing residuals each, producing a posterior distribution for the stochastic gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2023-10-20 David Shih , Marat Freytsis , Stephen R. Taylor , Jeff A. Dror , Nolan Smyth

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

Gaussian Process Regression (GPR) is a powerful tool for nonparametric regression, but its application in a fully Bayesian fashion in high-dimensional settings is hindered by two primary challenges: the difficulty of variable selection and…

Methodology · Statistics 2025-11-11 Peter Knaus