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Gravitational-wave parameter estimation for binary neutron star (BNS) systems poses severe computational challenges due to the extended signal duration, which can reach several minutes in current detectors. Neural posterior estimation…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Masaki Iwaya , Vivien Raymond , Soichiro Morisaki , Kazuki Takada

A unified framework for theories of modified gravity will be an essential tool for interpreting the forthcoming deluge of cosmological data. We present such a formalism, the Parameterized Post-Friedmann framework (PPF), which parameterizes…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-08 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis

We study generic tests of strong-field General Relativity using gravitational waves emitted during the inspiral of compact binaries. Previous studies have considered simple extensions to the standard post-Newtonian waveforms that differ by…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Laura Sampson , Neil Cornish , Nicolas Yunes

Neural network quantization aims to reduce the bit-widths of weights and activations, making it a critical technique for deploying deep neural networks on resource-constrained hardware. Most Quantization-Aware Training (QAT) methods rely on…

Machine Learning · Computer Science 2025-09-03 Kaiqi Zhao

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

Parameterised Post-Newtonian Cosmology (PPNC) is a theory-agnostic framework for testing gravity in cosmology, which connects gravitational physics on small and large scales in the Universe. It is a direct extension of the Parameterised…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-25 Daniel B. Thomas , Timothy Clifton , Theodore Anton

Signal-background classification is a central problem in High-Energy Physics (HEP), that plays a major role for the discovery of new fundamental particles. A recent method -- the Parametric Neural Network (pNN) -- leverages multiple signal…

High Energy Physics - Experiment · Physics 2022-11-15 Luca Anzalone , Tommaso Diotalevi , Daniele Bonacorsi

We present an extension to the gauge-invariant formulation of the parameterized post-Newtonian (PPN) formalism, which allows its application to symmetric teleparallel gravity theories. In its original formulation, the gauge-invariant PPN…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Manuel Hohmann

Gravitational waves allow us to test general relativity in the highly dynamical regime. While current observations have been consistent with waves emitted by quasi-circular binaries, eccentric binaries may also produce detectable signals in…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Blake Moore , Nicolás Yunes

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

Solving partial differential equations (PDEs) can be prohibitively expensive using traditional numerical methods. Deep learning-based surrogate models typically specialize in a single PDE with fixed parameters. We present a framework for…

Machine Learning · Computer Science 2025-11-14 Qian-Ze Zhu , Paul Raccuglia , Michael P. Brenner

Hamiltonian neural networks (HNNs) represent a promising class of physics-informed deep learning methods that utilize Hamiltonian theory as foundational knowledge within neural networks. However, their direct application to engineering…

Machine Learning · Computer Science 2025-02-21 Sarvin Moradi , Gerben I. Beintema , Nick Jaensson , Roland Tóth , Maarten Schoukens

Since the seminal work of [9] and their Physics-Informed neural networks (PINNs), many efforts have been conducted towards solving partial differential equations (PDEs) with Deep Learning models. However, some challenges remain, for…

Machine Learning · Computer Science 2023-11-27 Marien Chenaud , José Alves , Frédéric Magoulès

We estimate the probability of detecting a gravitational wave signal from coalescing compact binaries in simulated data from a ground-based interferometer detector of gravitational radiation using Bayesian model selection. The simulated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Umstaetter , M. Tinto

We aim to develop physics foundation models for science and engineering that provide real-time solutions to Partial Differential Equations (PDEs) which preserve structure and accuracy under adaptation to unseen geometries. To this end, we…

Machine Learning · Computer Science 2026-02-04 Benjamin D. Shaffer , Shawn Koohy , Brooks Kinch , M. Ani Hsieh , Nathaniel Trask

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

Inverse problems arise across scientific and engineering domains, where the goal is to infer hidden parameters or physical fields from indirect and noisy observations. Classical approaches, such as variational regularization and Bayesian…

Machine Learning · Statistics 2025-12-03 Ali Mohammad-Djafari , Ning Chu , Li Wang

Many-query problems, arising from uncertainty quantification, Bayesian inversion, Bayesian optimal experimental design, and optimization under uncertainty-require numerous evaluations of a parameter-to-output map. These evaluations become…

Numerical Analysis · Mathematics 2021-03-18 Thomas O'Leary-Roseberry , Umberto Villa , Peng Chen , Omar Ghattas

Parameter estimation for gravitational-wave signals is computationally demanding due to the high dimensionality of the parameter space and the cost of repeated waveform generation in traditional Bayesian inference. These analyses require on…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Sama Al-Shammari , Alexandre Göttel , Masaki Iwaya , Vivien Raymond

A new, field-theory-based framework for discussing and interpreting tests of gravity, notably at the second post-Newtonian (2PN) level, is introduced. Contrary to previous frameworks which attempted at parametrizing any conceivable…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Thibault Damour , Gilles Esposito-Farese
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