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Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

Numerical Analysis · Mathematics 2023-09-08 Sergei Manzhos , Manabu Ihara

With recent advances in post-Newtonian (PN) theory and numerical relativity (NR) it has become possible to construct inspiral-merger-ringdown waveforms by combining both descriptions into one hybrid signal. While addressing the reliability…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Frank Ohme , Mark Hannam , Sascha Husa

As gravitational wave (GW) detector networks continue to improve in sensitivity, the demand on the accuracy of waveform models which predict the GW signals from compact binary coalescences is becoming more stringent. At high signal-to-noise…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Ritesh Bachhar , Michael Pürrer , Stephen R. Green

Gaussian process regression (GPR) is a fundamental model used in machine learning. Owing to its accurate prediction with uncertainty and versatility in handling various data structures via kernels, GPR has been successfully used in various…

Machine Learning · Computer Science 2021-12-16 Yuya Yoshikawa , Tomoharu Iwata

We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on…

Numerical Analysis · Mathematics 2024-05-01 Paolo Villani , Jörg Unger , Martin Weiser

We use a Gaussian Process Regression (GPR) strategy that was recently developed [3,16,17] to analyze different types of curves that are commonly encountered in parametric eigenvalue problems. We employ an offline-online decomposition…

Numerical Analysis · Mathematics 2024-06-04 Moataz Alghamdi , Fleurianne Bertrand , Daniele Boffi , Abdul Halim

We combine hierarchical Bayesian modeling with a flow-based deep generative network, in order to demonstrate that one can efficiently constraint numerical gravitational wave (GW) population models at a previously intractable complexity.…

Instrumentation and Methods for Astrophysics · Physics 2020-07-07 Kaze W. K. Wong , Gabriella Contardo , Shirley Ho

We construct few deep generative models of gravitational waveforms based on the semi-supervising scheme of conditional autoencoders and their variational extensions. Once the training is done, we find that our best waveform model can…

Instrumentation and Methods for Astrophysics · Physics 2021-06-30 Chung-Hao Liao , Feng-Li Lin

The prior knowledge of the gravitational waveform from compact binary systems makes matched filtering an attractive detection strategy. This detection method involves the filtering of the detector output with a set of theoretical waveforms…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward K. Porter

This tutorial aims to provide an intuitive introduction to Gaussian process regression (GPR). GPR models have been widely used in machine learning applications due to their representation flexibility and inherent capability to quantify…

Machine Learning · Statistics 2024-01-30 Jie Wang

Many numerical algorithms have been established to reconstruct pressure fields from measured kinematic data with noise by Particle Image Velocimetry (PIV), such as the Pressure Poisson solver and the Omni-Directional Integration (ODI)…

Fluid Dynamics · Physics 2023-02-01 Zejian You , Qi Wang , Xiaofeng Liu

We present a parameter estimation framework for gravitational wave (GW) signals that brings together several ideas to accelerate the inference process. First, we use the relative binning algorithm to evaluate the signal-to-noise-ratio…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Tousif Islam , Javier Roulet , Tejaswi Venumadhav

The recent direct observation of gravitational waves has further emphasized the desire for fast, low-cost, and accurate methods to infer the parameters of gravitational wave sources. Due to expense in waveform generation and data handling,…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Richard O'Shaughnessy , Jonathan Blackman , Scott E. Field

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

We present a physics-informed Gaussian Process Regression (GPR) model to predict the phase angle, angular speed, and wind mechanical power from a limited number of measurements. In the traditional data-driven GPR method, the form of the…

Signal Processing · Electrical Eng. & Systems 2018-06-29 Ramakrishna Tipireddy , Alexandre Tartakovsky

We introduce the use of autoregressive normalizing flows for rapid likelihood-free inference of binary black hole system parameters from gravitational-wave data with deep neural networks. A normalizing flow is an invertible mapping on a…

Instrumentation and Methods for Astrophysics · Physics 2020-11-25 Stephen R. Green , Christine Simpson , Jonathan Gair

Gaussian Process Regression (GPR) is an important type of supervised machine learning model with inherent uncertainty measure in its predictions. We propose a new framework, nuGPR, to address the well-known challenge of high computation…

Machine Learning · Computer Science 2025-10-15 Ziqi Zhao , Vivek Sarin

Gravitational waves (GWs) hold great potential for an unobscured view of protoneutron stars (PNSs) formed as a result of stellar collapses. While waiting for discovery, deepening the understanding of GW emission in theory is beneficial for…

High Energy Astrophysical Phenomena · Physics 2024-09-18 Shuai Zha

Next-generation gravitational wave (GW) experiments will explore higher frequency ranges, where GW wavelengths approach the size of the detector itself. In this regime, GWs may be detected not just through the well-known mechanical…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Lars Fischer , Tom Krokotsch , Gudrid Moortgat-Pick

The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer