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Obtaining a precise form for the predicted gravitational wave (GW) spectrum from a phase transition is a topic of great relevance for beyond Standard Model (BSM) physicists. Currently, the most sophisticated semi-analytic framework for…

High Energy Physics - Phenomenology · Physics 2024-07-04 Huai-ke Guo , Fazlollah Hajkarim , Kuver Sinha , Graham White , Yang Xiao

The power-law parametrization for the energy density spectrum of gravitational wave (GW) background is a useful tool to study its physics and origin. While scalar induced secondary gravitational waves (SIGWs) from some particular models fit…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Zhu Yi , Qing Gao , Yungui Gong , Yue Wang , Fengge Zhang

The eventual detection of gravitational waves from core-collapse supernovae (CCSN) will help improve our current understanding of the explosion mechanism of massive stars. The stochastic nature of the late post-bounce gravitational wave…

Detecting stochastic gravitational wave backgrounds (SGWBs) with The Laser Interferometer Space Antenna (LISA) is among the mission science objectives. Disentangling SGWBs of astrophysical and cosmological origin is a challenging task,…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 Federico Pozzoli , Riccardo Buscicchio , Christopher J. Moore , Francesco Haardt , Alberto Sesana

Numerical relativity (NR) enables the study of physics in strong and dynamical gravitational fields and provides predictions for the gravitational-wave signals produced by merging black holes. Despite the impressive accuracy of modern…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Richard Dyer , Christopher J. Moore

Black hole (BH) spectroscopy has emerged as a powerful approach to extract spacetime information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) spectral instability under high wave-number perturbations has been…

General Relativity and Quantum Cosmology · Physics 2022-06-08 José Luis Jaramillo , Rodrigo Panosso Macedo , Lamis Al Sheikh

We present gravitational wave (GW) signal predictions from four 3D multi-group neutrino hydrodynamics simulations of core-collapse supernovae of progenitors with 11.2 Msun, 20 Msun, and 27 Msun. GW emission in the pre-explosion phase…

High Energy Astrophysical Phenomena · Physics 2017-04-19 Haakon Andresen , Bernhard Mueller , Ewald Mueller , Hans-Thomas Janka

This work investigates the problem of detecting gravitational wave (GW) events based on simulated damped sinusoid signals contaminated with white Gaussian noise. It is treated as a classification problem with one class for the interesting…

Instrumentation and Methods for Astrophysics · Physics 2020-06-01 Xiangru Li , Woliang Yu , Xilong Fan , G. Jogesh Babu

We investigate the Bayesian framework for detection of continuous gravitational waves (GWs) in the context of targeted searches, where the phase evolution of the GW signal is assumed to be known, while the four amplitude parameters are…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Reinhard Prix , Badri Krishnan

Standard methodologies for the extraction of the stochastic gravitational wave background (SGWB) from auto- or cross-correlation of interferometric signals often involve the use of a filter function. The standard optimal filter maximizes…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Davide Poletti

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Wang-Wei Yu , Bruce Allen

Gaussian process regression is widely applied in computational science and engineering for surrogate modeling owning to its kernel-based and probabilistic nature. In this work, we propose a Bayesian approach that integrates the variability…

Machine Learning · Computer Science 2025-01-03 Dongwei Ye , Weihao Yan , Christoph Brune , Mengwu Guo

We introduce a density basis of the trigonometric polynomials that is suitable to mixture modelling. Statistical and geometric properties are derived, suggesting it as a circular analogue to the Bernstein polynomial densities. Nonparametric…

Methodology · Statistics 2019-02-26 Olivier Binette , Simon Guillotte

The power-spectrum subband energy ratio (PSER) has been applied in a variety of fields, but reports on its statistical properties have been limited. As such, this study investigates these characteristics in the presence of additive Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Han Li , Yanzhu Hu , Song Wang , Zhen Meng

With strong evidence of a common-spectrum stochastic process in the most recent datasets from the NANOGrav Collaboration, the European Pulsar Timing Array (PTA), Parkes PTA, and the International PTA, it is crucial to assess the effects of…

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

We introduce a technique for gravitational-wave analysis, where Gaussian process regression is used to emulate the strain spectrum of a stochastic background using population-synthesis simulations. This leads to direct Bayesian inference on…

Astrophysics of Galaxies · Physics 2017-05-10 Stephen R. Taylor , Joseph Simon , Laura Sampson

State-of-the-art searches for gravitational waves (GWs) in pulsar timing array (PTA) datasets model the signal as an isotropic, Gaussian and stationary process described by a power-law. In practice, none of these properties are expected to…

High Energy Astrophysical Phenomena · Physics 2024-03-25 Serena Valtolina , Golam Shaifullah , Anuradha Samajdar , Alberto Sesana

Gaussian process (GP) regression is widely used for uncertainty quantification, yet the standard formulation assumes noise-free covariates. When inputs are measured with error, this errors-in-variables (EIV) setting can lead to…

Methodology · Statistics 2026-03-19 Hengrui Luo , Xiaoye S. Li , Yang Liu , Marcus Noack , Ji Qiang , Mark D. Risser

The stochastic background of gravitational wave signals arising from the core-collapse supernovae is produced through various complex mechanisms that need detailed and careful investigation. We proposed a simplified multi-peak waveform of…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Sourav Roy Chowdhury , Maxim Khlopov
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