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Sampling is a critical operation in Graph Neural Network (GNN) training that helps reduce the cost. Previous literature has explored improving sampling algorithms via mathematical and statistical methods. However, there is a gap between…

Machine Learning · Computer Science 2022-06-27 Xin Liu , Mingyu Yan , Shuhan Song , Zhengyang Lv , Wenming Li , Guangyu Sun , Xiaochun Ye , Dongrui Fan

Exoplanet observations are currently analysed with Bayesian retrieval techniques. Due to the computational load of the models used, a compromise is needed between model complexity and computing time. Analysis of data from future facilities,…

Earth and Planetary Astrophysics · Physics 2022-06-29 Francisco Ardevol Martinez , Michiel Min , Inga Kamp , Paul I. Palmer

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 introduce a scalable approach to Gaussian process inference that combines spatio-temporal filtering with natural gradient variational inference, resulting in a non-conjugate GP method for multivariate data that scales linearly with…

Machine Learning · Computer Science 2021-11-03 Oliver Hamelijnck , William J. Wilkinson , Niki A. Loppi , Arno Solin , Theodoros Damoulas

The direct detection of gravitational waves (GWs) by LIGO has strikingly confirmed general relativity (GR), but testing GR via GWs requires estimating parameterized post-Einsteinian (ppE) deviation parameters in waveform models. Traditional…

Instrumentation and Methods for Astrophysics · Physics 2026-02-03 Yong-Xin Zhang , Tian-Yang Sun , Chun-Yu Xiong , Song-Tao Liu , Yu-Xin Wang , Shang-Jie Jin , Jing-Fei Zhang , Xin Zhang

Graph Neural Networks (GNN) exhibit superior performance in graph representation learning, but their inference cost can be high, due to an aggregation operation that can require a memory fetch for a very large number of nodes. This…

Machine Learning · Computer Science 2025-03-18 Yaochen Hu , Mai Zeng , Ge Zhang , Pavel Rumiantsev , Liheng Ma , Yingxue Zhang , Mark Coates

The sensitivity of gravitational-wave (GW) detectors is characterized by their noise curves, which determine the detector's reach and ability to measure the parameters of astrophysical sources accurately. The detector noise is typically…

Instrumentation and Methods for Astrophysics · Physics 2025-03-21 Sumit Kumar , Alexander H. Nitz , Xisco Jiménez Forteza

The continuous variable quantum computing platform constitutes a promising candidate for realizing quantum advantage, as exemplified in Gaussian Boson Sampling. While noise in the experiments makes the computation attainable for classical…

Quantum Physics · Physics 2025-08-11 Jonas Vinther , Michael James Kastoryano

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component…

High Energy Astrophysical Phenomena · Physics 2015-06-12 R. J. E. Smith , K. Cannon , C. Hanna , D. Keppel , I. Mandel

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

Quality by design in pharmaceutical manufacturing hinges on computational methods and tools that are capable of accurate quantitative prediction of the design space. This paper investigates Bayesian approaches to design space…

Sampling-based algorithms are classical approaches to perform Bayesian inference in inverse problems. They provide estimators with the associated credibility intervals to quantify the uncertainty on the estimators. Although these methods…

Methodology · Statistics 2023-11-28 Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

We propose a nested Gaussian process (nGP) as a locally adaptive prior for Bayesian nonparametric regression. Specified through a set of stochastic differential equations (SDEs), the nGP imposes a Gaussian process prior for the function's…

Methodology · Statistics 2012-01-24 Bin Zhu , David B. Dunson

Gravitational-wave analyses depend heavily on waveforms that model the evolution of compact binary coalescences as seen by observing detectors. In many cases these waveforms are given by waveform approximants, models that approximate the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Quirijn Meijer , Sarah Caudill

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

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

Machine Learning · Computer Science 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

We describe several new techniques which accelerate Bayesian searches for continuous gravitational-wave emission from supermassive black-hole binaries using pulsar timing arrays. These techniques mitigate the problematic increase of…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Stephen Taylor , Justin Ellis , Jonathan Gair

The detection of continuous gravitational-wave signals requires to account for the motion of the detector with respect to the solar system barycenter in the data analysis. In order to search efficiently for such signals by means of the fast…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Andrzej Krolak , Massimo Tinto

Current statistics literature on statistical inference of random fields typically assumes that the fields are stationary or focuses on models of non-stationary Gaussian fields with parametric/semiparametric covariance families, which may…

Statistics Theory · Mathematics 2024-09-04 Yunyi Zhang , Zhou Zhou