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We present a new particle tracking software algorithm designed to accurately track the motion of low-contrast particles against a background with large variations in light levels. The method is based on a polynomial fit of the intensity…

Soft Condensed Matter · Physics 2009-11-13 Salman S. Rogers , Thomas A. Waigh , Xiubo Zhao , Jian R. Lu

Full waveform inversion (FWI) enables us to obtain high-resolution velocity models of the subsurface. However, estimating the associated uncertainties in the process is not trivial. Commonly, uncertainty estimation is performed within the…

Geophysics · Physics 2023-05-16 Muhammad Izzatullah , Matteo Ravasi , Tariq Alkhalifah

The graphical lasso \citep{FHT2007a} is an algorithm for learning the structure in an undirected Gaussian graphical model, using $\ell_1$ regularization to control the number of zeros in the precision matrix ${\B\Theta}={\B\Sigma}^{-1}$…

Machine Learning · Statistics 2012-08-09 Rahul Mazumder , Trevor Hastie

The wolensing Python package offers a solution for gravitational wave lensing computations within the full wave-optics regime. This tool is primarily designed to calculate the gravitational lensing amplification factor including diffractive…

Instrumentation and Methods for Astrophysics · Physics 2024-10-29 Simon M. C. Yeung , Mark H. Y. Cheung , Miguel Zumalacarregui , Otto A. Hannuksela

We present an online, open and comprehensive template library of gravitational waveforms produced during the tidal disruptions of stars by massive black holes, spanning a broad space of parameters. We build this library thanks to a new…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Martina Toscani , Giuseppe Lodato , Daniel J. Price , David Liptai

The Graphical Lasso (GLasso) algorithm is fast and widely used for estimating sparse precision matrices (Friedman et al., 2008). Its central role in the literature of high-dimensional covariance estimation rivals that of Lasso regression…

Computation · Statistics 2024-03-20 Aramayis Dallakyan , Mohsen Pourahmadi

We present a Fisher-matrix forecast for the detectability of a stochastic gravitational wave background generated by a first-order phase transition in the early universe. We use the DECIGO and LISA missions as reference cases. The source…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Diego Rios , William H. Kinney

Inspiraling binaries of compact objects are primary targets for current and future gravitational-wave observatories. Waveforms computed in General Relativity are used to search for these sources, and will probably be used to extract source…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Michele Vallisneri , Nicolas Yunes

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

Globular clusters (GCs) are crucial for studying stellar dynamics and galactic structure, yet precise measurements of their distances and masses are often limited by uncertainties in electromagnetic (EM) observations. We present a novel…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Jie Wu , Yao Xiao , Mengfei Sun , Jin Li

Double white dwarf binaries in the Galaxy dominate the gravitational wave sky and would be detectable for an instrument such as LISA. Most studies have calculated the expected gravitational wave signal under the assumption that the binary…

High Energy Astrophysical Phenomena · Physics 2015-06-05 D. van den Broek , G. Nelemans , M. Dan , S. Rosswog

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

Mergers of stellar-mass black holes on highly eccentric orbits are among the targets for ground-based gravitational-wave detectors, including LIGO, VIRGO, and KAGRA. These sources may commonly form through gravitational-wave emission in…

High Energy Astrophysical Phenomena · Physics 2018-03-21 László Gondán , Bence Kocsis , Péter Raffai , Zsolt Frei

DerivKit is a Python package for derivative-based statistical inference. It implements stable numerical differentiation and derivative assembly utilities for Fisher-matrix forecasting and higher-order likelihood approximations in scientific…

Instrumentation and Methods for Astrophysics · Physics 2026-02-10 Nikolina Šarčević , Matthijs van der Wild , Cynthia Trendafilova

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

We propose a new scheme for extracting gravitational radiation from a characteristic numerical simulation of a spacetime. This method is similar in conception to our earlier work but analytical and numerical implementation is different. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shrirang S. Deshingkar

Natural gradients can improve convergence in stochastic variational inference significantly but inverting the Fisher information matrix is daunting in high dimensions. Moreover, in Gaussian variational approximation, natural gradient…

Computation · Statistics 2025-02-05 Linda S. L. Tan

The Fisher Information Matrix (FIM) has been the standard approximation to the accuracy of parameter estimation on gravitational-wave signals from merging compact binaries due to its ease-of-use and rapid computation time. While the…

Instrumentation and Methods for Astrophysics · Physics 2013-10-30 Carl L. Rodriguez , Benjamin Farr , Will M. Farr , Ilya Mandel

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

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