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We present the GPry algorithm for fast Bayesian inference of general (non-Gaussian) posteriors with a moderate number of parameters. GPry does not need any pre-training, special hardware such as GPUs, and is intended as a drop-in…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Jonas El Gammal , Nils Schöneberg , Jesús Torrado , Christian Fidler

We compute adiabatic waveforms for extreme mass-ratio inspirals (EMRIs) by "stitching" together a long inspiral waveform from a sequence of waveform snapshots, each of which corresponds to a particular geodesic orbit. We show that the…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Scott A. Hughes , Niels Warburton , Gaurav Khanna , Alvin J. K. Chua , Michael L. Katz

Gravitational waves from compact binaries measured by the LIGO and Virgo detectors are routinely analyzed using Markov Chain Monte Carlo sampling algorithms. Because the evaluation of the likelihood function requires evaluating millions of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-23 Arnaud Delaunoy , Antoine Wehenkel , Tanja Hinderer , Samaya Nissanke , Christoph Weniger , Andrew R. Williamson , Gilles Louppe

Bayesian inference in the physical sciences faces a fundamental challenge: the imperative for high-fidelity physical modeling often clashes with the intrinsic limitations of stochastic sampling algorithms. Complex, high-dimensional…

Instrumentation and Methods for Astrophysics · Physics 2026-04-09 Bo Liang , Chang Liu , Hanlin Song , Tianyu Zhao , Minghui Du , He Wang , Haohao Gu , Sensen He , Yuxiang Xu , Wei-Liang Qian , Li-e Qiang , Peng Xu , Ziren Luo , Mingming Sun

A new algorithm based on bayesian inference for learning local graph conductance based on Gaussian Process(GP) is given that uses advanced MCMC convergence ideas to create a scalable and fast algorithm for convergence to stationary…

Machine Learning · Computer Science 2022-04-28 Farshad Noravesh

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

Scientific analysis for the gravitational-wave detector LISA will require theoretical waveforms from extreme-mass-ratio inspirals (EMRIs) that extensively cover all possible orbital and spin configurations around astrophysical Kerr black…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Soichiro Isoyama , Ryuichi Fujita , Alvin J. K. Chua , Hiroyuki Nakano , Adam Pound , Norichika Sago

We propose an approach based on function evaluations and Bayesian inference to extract higher-order differential information of objective functions {from a given ensemble of particles}. Pointwise evaluation $\{V(x^i)\}_i$ of some potential…

Machine Learning · Statistics 2023-03-02 Claudia Schillings , Claudia Totzeck , Philipp Wacker

By building on recent advances in the use of randomized trace estimation to drastically reduce the memory footprint of adjoint-state methods, we present and validate an imaging approach that can be executed exclusively on accelerators.…

Geophysics · Physics 2022-03-14 Mathias Louboutin , Felix J. Herrmann

The Fisher matrix (FM) has been generally used to predict the accuracy of the gravitational wave parameter estimation. Although a limitation of the FM has been well known, it is still mainly used due to its very low computational cost…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Hee-Suk Cho , Chang-Hwan Lee

With laser interferometers, LIGO-Virgo collaboration has recently realized the direct detections of the intermediate-frequency (i.e., from dozens to hundreds of Hertz) gravitational waves (GWs) by probing their mechanically-tidal responses.…

General Relativity and Quantum Cosmology · Physics 2018-09-19 H. Zheng , L. F. Wei , H. Wen , F. Y. Li

The interpretation of cosmological observables requires the use of increasingly sophisticated theoretical models. Since these models are becoming computationally very expensive and display non-trivial uncertainties, the use of standard…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Marcos Pellejero-Ibañez , Raul E. Angulo , Giovanni Aricó , Matteo Zennaro , Sergio Contreras , Jens Stücker

Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

Here we present an open source Python-based Bayesian orbit retrieval code (Nii) that implements an automatic parallel tempering Markov chain Monte Carlo (APT-MCMC) strategy. Nii provides a module to simulate the observations of a…

Instrumentation and Methods for Astrophysics · Physics 2021-11-24 Sheng Jin , Xiaojian Ding , Su Wang , Yao Dong , Jianghui Ji

In various industrial contexts, estimating the distribution of unobserved random vectors Xi from some noisy indirect observations H(Xi) + Ui is required. If the relation between Xi and the quantity H(Xi), measured with the error Ui, is…

Methodology · Statistics 2015-08-25 Shuai Fu , Mathieu Couplet , Nicolas Bousquet

Extreme mass-ratio inspirals (EMRIs), namely binary systems composed of a massive black hole and a compact stellar-mass object, are anticipated to be among the gravitational wave (GW) sources detected by the Laser Interferometer Space…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-23 Chang Liu , Danny Laghi , Nicola Tamanini

The upcoming gravitational wave (GW) observatory LISA will measure the parameters of sources like extreme-mass-ratio inspirals (EMRIs) to exquisite precision. These measurements will also be sensitive to perturbations to the vacuum,…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Shubham Kejriwal , Francisco Duque , Alvin J. K. Chua , Jonathan Gair

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

The realized stochastic volatility (RSV) model that utilizes the realized volatility as additional information has been proposed to infer volatility of financial time series. We consider the Bayesian inference of the RSV model by the Hybrid…

Computational Finance · Quantitative Finance 2016-11-28 Tetsuya Takaishi

Physically motivated gravitational wave signals are needed in order to study the behaviour and efficacy of different data analysis methods seeking their detection. GravEn, short for Gravitational-wave Engine, is a MATLAB software package…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amber L. Stuver , Lee Samuel Finn