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We present a general framework for incorporating astrophysical information into Bayesian parameter estimation techniques used by gravitational wave data analysis to facilitate multi-messenger astronomy. Since the progenitors of transient…

High Energy Astrophysical Phenomena · Physics 2014-10-14 XiLong Fan , Christopher Messenger , Ik Siong Heng

In order to analyze data produced by the kilometer-scale gravitational wave detectors that will begin operation early next century, one needs to develop robust statistical tools capable of extracting weak signals from the detector noise.…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Jolien D. E. Creighton

Searches for gravitational wave signals which do not have a precise model describing the shape of their waveforms are often performed using power detectors based on a quadratic form of the data. A new, optimal method of generalizing these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

Gaussian processes are a powerful framework for quantifying uncertainty and for sequential decision-making but are limited by the requirement of solving linear systems. In general, this has a cubic cost in dataset size and is sensitive to…

Bayesian filtering is a general framework for recursively estimating the state of a dynamical system. Classical solutions such that Kalman filter and Particle filter are introduced in this report. Gaussian processes have been introduced as…

Information Theory · Computer Science 2010-11-04 Mr. Chong Han , Dr. Ido Nevat , Dr. Gareth Peters , Prof. Jinhong Yuan

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

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

Gravitational-wave data analysis demands sophisticated statistical noise models in a bid to extract highly obscured signals from data. In Bayesian model comparison, we choose among a landscape of models by comparing their marginal…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Haochen Wang , Stephen R. Taylor , Michele Vallisneri

Estimating the parameters of compact binaries which coalesce and produce gravitational waves is a challenging Bayesian inverse problem. Gravitational-wave parameter estimation lies within the class of multifidelity problems, where a variety…

General Relativity and Quantum Cosmology · Physics 2024-05-31 Bassel Saleh , Aaron Zimmerman , Peng Chen , Omar Ghattas

Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

Extended sources of the stochastic gravitational backgrounds have been conventionally searched on the spherical harmonics bases. The analysis during the previous observing runs by the ground-based gravitational wave detectors, such LIGO and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-08 Leo Tsukada , Santiago Jaraba , Deepali Agarwal , Erik Floden

The Laser Interferometer Space Antenna will be the first Gravitational Wave observatory in space. It is scheduled to fly in the early 2030's. LISA design predicts sensitivity levels that enable the detection a Stochastic Gravitational Wave…

Instrumentation and Methods for Astrophysics · Physics 2020-12-02 Nikolaos Karnesis , Marc Lilley , Antoine Petiteau

Quantum computational devices, currently under development, have the potential to accelerate data analysis techniques beyond the ability of any classical algorithm. We propose the application of a quantum algorithm for the detection of…

Quantum Physics · Physics 2021-09-06 Sijia Gao , Fergus Hayes , Sarah Croke , Chris Messenger , John Veitch

We present a lightweight, flexible, and high-performance framework for inferring the properties of gravitational-wave events. By combining likelihood heterodyning, automatically-differentiable and accelerator-compatible waveforms, and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Kaze W. K. Wong , Maximiliano Isi , Thomas D. P. Edwards

Gravitational-wave data from advanced-era interferometric detectors consists of background Gaussian noise, frequent transient artefacts, and rare astrophysical signals. Multiple search algorithms exist to detect the signals from compact…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Gregory Ashton , Ann-Kristin Malz , Nicolo Colombo

Bayesian inference is an effective approach for solving statistical learning problems especially with uncertainty and incompleteness. However, inference efficiencies are physically limited by the bottlenecks of conventional computing…

Emerging Technologies · Computer Science 2017-11-06 Xiaotao Jia , Jianlei Yang , Zhaohao Wang , Yiran Chen , Hai , Li , Weisheng Zhao

We have experimentally realized an information engine consisting of an optically trapped, heavy bead in water. The device raises the trap center after a favorable "up" thermal fluctuation, thereby increasing the bead's average gravitational…

Statistical Mechanics · Physics 2023-04-11 Tushar K. Saha , Joseph N. E. Lucero , Jannik Ehrich , David A. Sivak , John Bechhoefer

Bayesian methods have proved powerful in many applications for the inference of model parameters from data. These methods are based on Bayes' theorem, which itself is deceptively simple. However, in practice the computations required are…

Methodology · Statistics 2020-07-10 Michael A. Chappell , Mark W. Woolrich

We present a method for assigning a statistical significance to detection candidates in targeted searches for continuous gravitational waves from known pulsars, without assuming the detector noise is Gaussian and stationary. We take…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Maximiliano Isi , Simone Mastrogiovanni , Matthew Pitkin , Ornella Juliana Piccinni

The detection of electromagnetic counterparts to gravitational waves has great promise for the investigation of many scientific questions. It has long been hoped that in addition to providing extra, non-gravitational information about the…

High Energy Astrophysical Phenomena · Physics 2017-01-18 Chris Pankow , Laura Sampson , Leah Perri , Eve Chase , Scott Coughlin , Michael Zevin , Vassiliki Kalogera