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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

Parameter estimation of gravitational wave data is often computationally expensive, requiring simplifying assumptions such as circularisation of binary orbits. Although, if included, the sub-dominant effects like orbital eccentricity may…

General Relativity and Quantum Cosmology · Physics 2025-08-11 Rimo Das , V. Gayathri , Divyajyoti , Sijil Jose , Imre Bartos , Sergey Klimenko , Chandra Kant Mishra

This paper presents a new Expectation Propagation (EP) framework for image restoration using patch-based prior distributions. While Monte Carlo techniques are classically used to sample from intractable posterior distributions, they can…

Computer Vision and Pattern Recognition · Computer Science 2021-11-11 Dan Yao , Stephen McLaughlin , Yoann Altmann

In this letter, we address sparse signal recovery using spike and slab priors. In particular, we focus on a Bayesian framework where sparsity is enforced on reconstruction coefficients via probabilistic priors. The optimization resulting…

Machine Learning · Statistics 2015-05-28 Hojjat S. Mousavi , Vishal Monga , Trac D. Tran

Experiments are the gold standard for causal inference. In many applications, experimental units can often be recruited or chosen sequentially, and the adaptive execution of such experiments may offer greatly improved inference of causal…

Methodology · Statistics 2023-06-14 Difan Song , Simon Mak , C. F. Jeff Wu

Sequential neural posterior estimation (SNPE) techniques have been recently proposed for dealing with simulation-based models with intractable likelihoods. Unlike approximate Bayesian computation, SNPE techniques learn the posterior from…

Machine Learning · Statistics 2025-01-17 Yifei Xiong , Xiliang Yang , Sanguo Zhang , Zhijian He

We present a new method for extracting the instantaneous orbital axis only from gravitational wave strains of precessing binary systems observed from a particular observer direction. This method enables us to reconstruct the co-precessing…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Kyohei Kawaguchi , Koutarou Kyutoku , Hiroyuki Nakano , Masaru Shibata

We present a novel analysis method for image reconstruction in emission tomography. The method, named Reconstructed Image from Simulations Ensemble (RISE), utilizes statistical physics concepts and Monte Carlo techniques to extract the…

Medical Physics · Physics 2018-04-12 Costas N. Papanicolas , Loizos Koutsantonis , Efstathios Stiliaris

Ground-based gravitational wave laser interferometers (LIGO, GEO-600, Virgo and Tama-300) have now reached high sensitivity and duty cycle. We present a Bayesian evidence-based approach to the search for gravitational waves, in particular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John Veitch , Alberto Vecchio

Geophysical inverse problems are often ill-posed and admit multiple solutions. Conventional discriminative methods typically yield a single deterministic solution, which fails to model the posterior distribution, cannot generate diverse…

We propose the use of automatic differentiation through the programming framework jax for accelerating a variety of analysis tasks throughout gravitational wave (GW) science. Firstly, we demonstrate that complete waveforms which cover the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Thomas D. P. Edwards , Kaze W. K. Wong , Kelvin K. H. Lam , Adam Coogan , Daniel Foreman-Mackey , Maximiliano Isi , Aaron Zimmerman

All-sky searches for continuous gravitational waves are generally model dependent and computationally costly to run. By contrast, SOAP is a model-agnostic search that rapidly returns candidate signal tracks in the time-frequency plane. In…

Instrumentation and Methods for Astrophysics · Physics 2022-11-09 Joseph Bayley , Chris Messenger , Graham Woan

How can one perform Bayesian inference on stochastic simulators with intractable likelihoods? A recent approach is to learn the posterior from adaptively proposed simulations using neural network-based conditional density estimators.…

Machine Learning · Computer Science 2019-05-21 David S. Greenberg , Marcel Nonnenmacher , Jakob H. Macke

Bayesian inference for high-dimensional inverse problems is computationally costly and requires selecting a suitable prior distribution. Amortized variational inference addresses these challenges via a neural network that approximates the…

Machine Learning · Statistics 2023-01-19 Ali Siahkoohi , Gabrio Rizzuti , Rafael Orozco , Felix J. Herrmann

A gravitational-wave background can be detected in pulsar-timing-array data as Hellings--Downs correlations among the timing residuals measured for different pulsars. The optimal statistic implements this concept as a classical…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Michele Vallisneri , Patrick M. Meyers , Katerina Chatziioannou , Alvin J. K. Chua

Gravitational wave searches rely on a combination of methods, including matched filtering, coherent analyses, and more recent machine learning based pipelines. For compact binary coalescences, where signals originate from the relativistic…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Lorenzo Mobilia , Tito Dal Canton , Gianluca Maria Guidi

Excess energy method is used in searches of gravitational waves (GWs) produced from sources with poorly modeled characteristics. It identifies GW events by searching for a coincidence appearance of excess energy in a GW detector network.…

Instrumentation and Methods for Astrophysics · Physics 2018-07-03 Vaibhav Tiwari , Sergei Klimenko , Valentin Necula , Guenakh Mitselmakher

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

Bayesian inference usually requires running potentially costly inference procedures separately for every new observation. In contrast, the idea of amortized Bayesian inference is to initially invest computational cost in training an…

Machine Learning · Computer Science 2023-05-25 Manuel Glöckler , Michael Deistler , Jakob H. Macke

We consider the problem of phase retrieval, namely, recovery of a signal from the magnitude of its Fourier transform, or of any other linear transform. Due to the loss of the Fourier phase information, this problem is ill-posed. Therefore,…

Information Theory · Computer Science 2023-07-19 Yoav Shechtman , Amir Beck , Yonina C. Eldar