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Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data,…

Machine Learning · Statistics 2018-01-23 Ching-An Cheng , Byron Boots

The Granular Instrumental Variables (GIV) methodology exploits panels with factor error structures to construct instruments to estimate structural time series models with endogeneity even after controlling for latent factors. We extend the…

Econometrics · Economics 2023-09-26 Saman Banafti , Tae-Hwy Lee

We propose a hierarchical approach to testing general relativity with multiple gravitational wave detections. Unlike existing strategies, our method does not assume that parameters quantifying deviations from general relativity are either…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

We develop a framework for generalized variational inference in infinite-dimensional function spaces and use it to construct a method termed Gaussian Wasserstein inference (GWI). GWI leverages the Wasserstein distance between Gaussian…

Machine Learning · Statistics 2022-10-18 Veit D. Wild , Robert Hu , Dino Sejdinovic

We present a python based parameter inference system for the gravitational wave (GW) measured in the millihertz band. This system includes the following features: the GW waveform originated from the massive black hole binaries (MBHB), the…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Renjie Wang , Bin Hu

Gravitation governs the expansion and fate of the universe, and the growth of large scale structure within it, but has not been tested in detail on these cosmic scales. The observed acceleration of the expansion may provide signs of…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-29 Eric V. Linder

In this paper we present a data analysis approach applicable to the potential saddle-point fly-by mission extension of LISA Pathfinder (LPF). At the peak of its sensitivity, LPF will sample the gravitational field in our Solar System with a…

General Relativity and Quantum Cosmology · Physics 2014-08-22 Natalia Korsakova , Chris Messenger , Francesco Pannarale , Martin Hewitson , Michele Armano

The plunge-merger stage of the binary-black hole coalescence, when the bodies' velocities reach a large fraction of the speed of light and the gravitational-wave luminosity peaks, provides a unique opportunity to probe gravity in the…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Elisa Maggio , Hector O. Silva , Alessandra Buonanno , Abhirup Ghosh

Recent observations of gravitational waves from binary black holes and neutron stars allow us to probe the strong and dynamical field regime of gravity. On the other hand, a collective signal from many individual, unresolved sources results…

General Relativity and Quantum Cosmology · Physics 2021-10-08 Alexander Saffer , Kent Yagi

We present a comprehensive assessment of multiparameter tests of general relativity (GR) in the inspiral regime of compact binary coalescences using principal component analysis (PCA). Our analysis is based on an extensive set of simulated…

We show that the stochastic background of gravitational waves, produced in the early cosmological epochs, strictly depends on the assumed theory of gravity. In particular, the specific form of the function f(R), where R is the Ricci scalar,…

General Relativity and Quantum Cosmology · Physics 2009-02-19 L. Izzo , S. Capozziello , M. De Laurentis

We compute the accuracy at which a LISA-like space-based gravitational wave detector will be able to observe deviations from General Relativity in the low frequency approximation. To do so, we introduce six correction parameters that…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Cédric Huwyler , Antoine Klein , Philippe Jetzer

The Advanced LIGO/Virgo interferometers have observed $\sim 100$ gravitational-wave transients enabling new questions to be answered about relativity, astrophysics, and cosmology. However, many of our current procedures for computing these…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Noah E. Wolfe , Colm Talbot , Jacob Golomb

The growing catalog of gravitational wave (GW) detections by the LIGO-Virgo-KAGRA Collaboration enables increasingly stringent tests of general relativity, particularly regarding possible parity and Lorentz violations. While most current…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Wei-Hua Guo , Yuan-Zhu Wang , Tao Zhu

Modified gravity theories have been suggested to address the limitations of general relativity, each exhibiting differences, particularly in their strong-field limits. Nonetheless, there lacks effective means to distinguish or test these…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Zhen Zhang , Rui Zhang

Gravitational wave (GW) detection is of paramount importance in fundamental physics and GW astronomy, yet it presents formidable challenges. One significant challenge is the removal of noise transient artifacts known as glitches, which…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Chun-Yu Xiong , Tian-Yang Sun , Jing-Fei Zhang , Xin Zhang

We present a new multivariate regression model for analysis and parameter estimation of gravitational waves observed from well but not perfectly modeled sources such as core-collapse supernovae. Our approach is based on a principal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 William J. Engels , Raymond Frey , Christian D. Ott

Central to the gravitational wave detection problem is the challenge of separating features in the data produced by astrophysical sources from features produced by the detector. Matched filtering provides an optimal solution for Gaussian…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Tyson B. Littenberg , Neil J. Cornish

Gravitational-wave observations of binary black holes allow new tests of general relativity to be performed on strong, dynamical gravitational fields. These tests require accurate waveform models of the gravitational-wave signal, otherwise…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Christopher J. Moore , Eliot Finch , Riccardo Buscicchio , Davide Gerosa

Electromagnetic observations of the radiation emitted by an accretion disk around a black hole, as well as gravitational wave observations of coalescing binaries, can be used to probe strong-field gravity. We here compare the constraints…

General Relativity and Quantum Cosmology · Physics 2020-05-14 Alejandro Cardenas-Avendano , Sourabh Nampalliwar , Nicolas Yunes