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Accurate parameter estimation(PE) of gravitational waves(GW) is essential for GW data analysis. In extreme mass-ratio inspiral binary(EMRI) systems, orbital eccentricity is a critical parameter for PE. However, current software for for PE…

广义相对论与量子宇宙学 · 物理学 2025-11-18 Gen-Liang Li , Shu-Jie Zhao , Huai-Ke Guo , Jing-Yu Su , Zhen-Heng Lin

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

Matched-filter searches for gravitational waves from coalescing compact binaries by the LIGO Scientific Collaboration use the FINDCHIRP algorithm: an implementation of the optimal filter with innovations to account for unknown signal…

广义相对论与量子宇宙学 · 物理学 2017-09-19 Bruce Allen , Warren G. Anderson , Patrick R. Brady , Duncan A. Brown , Jolien D. E. Creighton

Fisher matrix and related studies have suggested that with second-generation gravitational wave detectors, it may be possible to infer the equation of state of neutron stars using tidal effects in binary inspiral. Here we present the first…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Walter Del Pozzo , Tjonnie G. F. Li , Michalis Agathos , Chris Van Den Broeck , Salvatore Vitale

Current gravitational wave (GW) detections rely on the existence of libraries of theoretical waveforms. Consequently, finding new physics with GWs requires libraries of non-standard models, which are computationally demanding. We discuss…

Local Fisher discriminant analysis is a localized variant of Fisher discriminant analysis and it is popular for supervised dimensionality reduction method. lfda is an R package for performing local Fisher discriminant analysis, including…

应用统计 · 统计学 2016-12-30 Yuan Tang , Wenxuan Li

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

天体物理仪器与方法 · 物理学 2025-07-31 Alexander Harvey Nitz

We develop algebraic tools for statistical inference from samples of rotation matrices. This rests on the theory of D-modules in algebraic analysis. Noncommutative Gr\"obner bases are used to design numerical algorithms for maximum…

The Fisher information matrix (FIM) is a key quantity in statistics as it is required for example for evaluating asymptotic precisions of parameter estimates, for computing test statistics or asymptotic distributions in statistical testing,…

统计方法学 · 统计学 2023-02-07 Maud Delattre , Estelle Kuhn

Physically motivated gravitational wave signals are needed in order to study the behaviour and efficacy of different data analysis methods seeking their detection. GravEn, short for Gravitational-wave Engine, is a MATLAB software package…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Amber L. Stuver , Lee Samuel Finn

We present Korali, an open-source framework for large-scale Bayesian uncertainty quantification and stochastic optimization. The framework relies on non-intrusive sampling of complex multiphysics models and enables their exploitation for…

分布式、并行与集群计算 · 计算机科学 2022-01-26 Sergio M. Martin , Daniel Wälchli , Georgios Arampatzis , Athena E. Economides , Petr Karnakov , Petros Koumoutsakos

In various fields of physics and astronomy, access to experimental facilities or to telescopes is becoming more and more competitive and limited. It becomes therefore important to optimize the type of measurements and their scheduling to…

天体物理仪器与方法 · 物理学 2019-08-01 A. Hees , A. Dehghanfar , T. Do , A. M. Ghez , G. D. Martinez , R. Campbell , J. R. Lu

Uncertainty propagation and filtering can be interpreted as gradient flows with respect to suitable metrics in the infinite dimensional manifold of probability density functions. Such a viewpoint has been put forth in recent literature, and…

最优化与控制 · 数学 2017-10-31 Abhishek Halder , Tryphon T. Georgiou

Gaussian variational approximation is a popular methodology to approximate posterior distributions in Bayesian inference especially in high dimensional and large data settings. To control the computational cost while being able to capture…

机器学习 · 计算机科学 2021-04-07 Bingxin Zhou , Junbin Gao , Minh-Ngoc Tran , Richard Gerlach

We present LEGWORK (LISA Evolution and Gravitational Wave Orbit Kit), an open-source Python package for making predictions about stellar-origin gravitational wave sources and their detectability in LISA or other space-based gravitational…

高能天体物理现象 · 物理学 2022-08-08 Tom Wagg , Katelyn Breivik , Selma E. de Mink

We have developed a 3-D Eulerian hydrodynamics code to model sources of gravitational radiation. The code is written in cylindrical coordinates $(\varpi,z,\varphi)$ and has moving grids in the $\varpi$ and $z$-directions. We use Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Scott C. Smith , Joan M. Centrella , Sean P. Clancy

We discuss the potential of the advanced ground-based gravitational-wave detectors such as LIGO, Virgo, and KAGRA to detect generic deviations of gravitational waveforms from the predictions of general relativity. We use the parameterized…

广义相对论与量子宇宙学 · 物理学 2016-09-21 Tatsuya Narikawa , Hideyuki Tagoshi

Using simple, intuitive arguments, we discuss the expected accuracy with which astrophysical parameters can be extracted from an observed gravitational wave signal. The observation of a chirp like signal in the data allows for measurement…

广义相对论与量子宇宙学 · 物理学 2023-09-18 Stephen Fairhurst , Charlie Hoy , Rhys Green , Cameron Mills , Samantha A. Usman

We study the information content of summary statistics built from the multi-scale topology of large-scale structures on primordial non-Gaussianity of the local and equilateral type. We use halo catalogs generated from numerical N-body…

宇宙学与河外天体物理 · 物理学 2022-10-05 Matteo Biagetti , Juan Calles , Lina Castiblanco , Alex Cole , Jorge Noreña

It has become increasingly useful to answer questions in gravitational-wave astronomy using transdimensional models where the number of free parameters can be varied depending on the complexity required to fit the data. Given the growing…