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In this paper we elaborate on earlier work by the same authors in which a novel Bayesian inference framework for testing the strong-field dynamics of General Relativity using coalescing compact binaries was proposed. Unlike methods that…

广义相对论与量子宇宙学 · 物理学 2015-06-03 T. G. F. Li , W. Del Pozzo , S. Vitale , C. Van Den Broeck , M. Agathos , J. Veitch , K. Grover , T. Sidery , R. Sturani , A. Vecchio

Strong gravitational lensing provides an independent and powerful probe of cosmic expansion by directly linking observables to cosmological distances. Upcoming surveys such as LSST will discover large number of galaxy-galaxy strong lensing…

宇宙学与河外天体物理 · 物理学 2026-03-05 Shuaibo Geng , Shuo Cao , Marek Biesiada , Xinyue Jiang , Yalong Nan , Chenfa Zheng

We present an improved framework for estimating the growth rate of large-scale structure, using measurements of the galaxy-velocity cross-correlation in configuration space. We consider standard estimators of the velocity auto-correlation…

宇宙学与河外天体物理 · 物理学 2021-02-03 Ryan J. Turner , Chris Blake , Rossana Ruggeri

Gaussian Random Fields (GRFs) with Mat\'ern covariance functions have emerged as a powerful framework for modeling spatial processes due to their flexibility in capturing different features of the spatial field. However, the smoothness…

统计计算 · 统计学 2026-01-19 Yiping Hong , Sameh Abdulah , Marc G. Genton , Ying Sun

Gaussian processes (GPs) are a popular model for spatially referenced data and allow descriptive statements, predictions at new locations, and simulation of new fields. Often a few parameters are sufficient to parameterize the covariance…

机器学习 · 统计学 2021-01-01 Florian Gerber , Douglas W. Nychka

Probabilistic sensitivity analysis identifies the influential uncertain input to guide decision-making. We propose a general sensitivity framework with respect to the input distribution parameters that unifies a wide range of sensitivity…

统计方法学 · 统计学 2023-02-10 Jiannan Yang

We train graph neural networks to perform field-level likelihood-free inference using galaxy catalogs from state-of-the-art hydrodynamic simulations of the CAMELS project. Our models are rotational, translational, and permutation invariant…

Peculiar velocity surveys, which measure galaxy peculiar velocities directly from standard candles in addition to redshifts, can provide strong constraints on the linear growth rate of cosmological large-scale structure at low redshift. The…

We develop new methods to study the properties of galaxy redshift surveys and radial peculiar velocity surveys, both individually and combined. We derive the Fisher information matrix for redshift surveys, including redshift distortions and…

天体物理学 · 物理学 2009-11-10 Daniel Burkey , Andy Taylor

We introduce a novel two-step approach for estimating a probability density function (pdf) given its samples, with the second and important step coming from a geometric formulation. The procedure involves obtaining an initial estimate of…

统计方法学 · 统计学 2017-12-14 Sutanoy Dasgupta , Debdeep Pati , Anuj Srivastava

We derive peculiar velocities for the 6dF Galaxy Survey (6dFGS) and describe the velocity field of the nearby ($z<0.055$) southern hemisphere. The survey comprises 8885 galaxies for which we have previously reported Fundamental Plane data.…

Probabilistic load forecasting (PLF) is a key component in the extended tool-chain required for efficient management of smart energy grids. Neural networks are widely considered to achieve improved prediction performances, supporting highly…

信号处理 · 电气工程与系统科学 2021-01-12 Alessandro Brusaferri , Matteo Matteucci , Stefano Spinelli , Andrea Vitali

In Hezaveh et al. 2017 we showed that deep learning can be used for model parameter estimation and trained convolutional neural networks to determine the parameters of strong gravitational lensing systems. Here we demonstrate a method for…

宇宙学与河外天体物理 · 物理学 2017-11-29 Laurence Perreault Levasseur , Yashar D. Hezaveh , Risa H. Wechsler

Cosmological inferences typically rely on explicit expressions for the likelihood and covariance of the data vector, which normally consists of a set of summary statistics. However, in the case of nonlinear large-scale structure, exact…

宇宙学与河外天体物理 · 物理学 2024-08-29 Beatriz Tucci , Fabian Schmidt

We apply the scale-length method to several three dimensional samples of the Two degree Field Galaxy Redshift Survey. This method allows us to map in a quantitative and powerful way large scale structures in the distribution of galaxies…

天体物理学 · 物理学 2009-08-03 Francesco Sylos Labini , Nikolay L. Vasilyev , Yurij V. Baryshev

Quantifying image distortions caused by strong gravitational lensing and estimating the corresponding matter distribution in lensing galaxies has been primarily performed by maximum likelihood modeling of observations. This is typically a…

天体物理仪器与方法 · 物理学 2017-09-20 Yashar D. Hezaveh , Laurence Perreault Levasseur , Philip J. Marshall

A promising method for measuring the cosmological parameter combination fsigma_8 is to compare observed peculiar velocities with peculiar velocities predicted from a galaxy density field using perturbation theory. We use N-body simulations…

宇宙学与河外天体物理 · 物理学 2021-02-03 Amber M. Hollinger , Michael J. Hudson

It has been recently shown that a powerful way to constrain cosmological parameters from galaxy redshift surveys is to train graph neural networks to perform field-level likelihood-free inference without imposing cuts on scale. In…

We propose generalized random forests, a method for non-parametric statistical estimation based on random forests (Breiman, 2001) that can be used to fit any quantity of interest identified as the solution to a set of local moment…

统计方法学 · 统计学 2018-04-06 Susan Athey , Julie Tibshirani , Stefan Wager

Cosmic variance from large-scale structure will be a major source of uncertainty for galaxy surveys at z > 6, but that same structure will also provide an opportunity to identify and study dense environments in the early Universe. Using a…

宇宙学与河外天体物理 · 物理学 2022-01-12 A. C. Trapp , Steven R. Furlanetto , Jinghong Yang