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Advancements in the sensitivity of gravitational wave detectors have increased the detection rate of transient astrophysical signals. We improve the existing BayesWave initialization algorithm and present a rapid, low latency approximate…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Sudhi Mathur , Neil J. Cornish

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

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

State-of-the-art neural network-based methods for learning summary statistics have delivered promising results for simulation-based likelihood-free parameter inference. Existing approaches require density estimation as a post-processing…

We develop an iterative framework for Bayesian inference problems where the posterior distribution may involve computationally intensive models, intractable gradients, significant posterior concentration, and pronounced non-Gaussianity. Our…

Computation · Statistics 2026-03-16 Daniel Sharp , Bart van Bloemen Waanders , Youssef Marzouk

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

Fast and reliable inference of gravitational-wave source parameters is crucial for analyzing large catalogs that are reaching the size of hundreds of detections, and for identifying short-lived electromagnetic counterparts. Neural posterior…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Javier Roulet , Marco Crisostomi , Lucy M. Thomas , Katerina Chatziioannou

Parametric stochastic simulators are ubiquitous in science, often featuring high-dimensional input parameters and/or an intractable likelihood. Performing Bayesian parameter inference in this context can be challenging. We present a neural…

Machine Learning · Statistics 2021-10-27 Benjamin Kurt Miller , Alex Cole , Patrick Forré , Gilles Louppe , Christoph Weniger

Variational autoencoder (VAE) is a very successful generative model whose key element is the so called amortized inference network, which can perform test time inference using a single feed forward pass. Unfortunately, this comes at the…

Machine Learning · Computer Science 2021-02-08 Minyoung Kim , Vladimir Pavlovic

Bayesian methods estimate a measure of uncertainty by using the posterior distribution. One source of difficulty in these methods is the computation of the normalizing constant. Calculating exact posterior is generally intractable and we…

Machine Learning · Computer Science 2021-11-17 Farzaneh Mahdisoltani

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Christopher J. Moore , Jonathan R. Gair

Electromagnetic (EM) follow-up observations of gravitational wave (GW) events will help shed light on the nature of the sources, and more can be learned if the EM follow-ups can start as soon as the GW event becomes observable. In this…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Jing Luan , Shaun Hooper , Linqing Wen , Yanbei Chen

This paper proposes a new framework to regularize the highly ill-posed and non-linear phase retrieval problem through deep generative priors using simple gradient descent algorithm. We experimentally show effectiveness of proposed algorithm…

Machine Learning · Computer Science 2018-08-20 Fahad Shamshad , Ali Ahmed

Bayesian inference with stochastic sampling has been widely used to obtain the properties of gravitational wave (GW) sources. Although computationally intensive, its cost remains manageable for current second-generation GW detectors because…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Qian Hu , John Veitch

Bayesian inference, widely used in gravitational-wave parameter estimation, depends on the choice of priors, i.e., on our previously existing knowledge. However, to investigate neutron star mergers, priors are often chosen in an agnostic…

High Energy Astrophysical Phenomena · Physics 2025-12-01 Thibeau Wouters , Peter T. H. Pang , Tim Dietrich , Chris Van Den Broeck

In order to extract information about the properties of compact binaries, we must estimate the noise power spectral density of gravitational-wave data, which depends on the properties of the gravitational-wave detector. In practice, it is…

Instrumentation and Methods for Astrophysics · Physics 2020-06-18 Colm Talbot , Eric Thrane

Bayesian inference is used to extract unknown parameters from gravitational wave signals. Detector noise is typically modelled as stationary, although data from the LIGO and Virgo detectors is not stationary. We demonstrate that the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-13 O Edy , A. Lundgren , L. K. Nuttall

In spite of the diverse literature on nonstationary spatial modeling and approximate Gaussian process (GP) methods, there are no general approaches for conducting fully Bayesian inference for moderately sized nonstationary spatial data sets…

Computation · Statistics 2020-07-01 Mark D. Risser , Daniel Turek

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Serena Vinciguerra , John Veitch , Ilya Mandel

Estimation of parameters that obey specific constraints is crucial in statistics and machine learning; for example, when parameters are required to satisfy boundedness, monotonicity, or linear inequalities. Traditional approaches impose…

Methodology · Statistics 2026-04-03 Lachlan Astfalck , Deborshee Sen , Sayan Patra , Edward Cripps , David Dunson