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In cosmic shear likelihood analyses the covariance is most commonly assumed to be constant in parameter space. Therefore, when calculating the covariance matrix (analytically or from simulations), its underlying cosmology should not…

天体物理学 · 物理学 2015-05-13 Tim Eifler , Peter Schneider , Jan Hartlap

We compute the covariance of the galaxy power spectrum multipoles in perturbation theory, including the effects of nonlinear evolution, nonlinear and nonlocal bias, radial redshift-space distortions, arbitrary survey window and shot noise.…

宇宙学与河外天体物理 · 物理学 2020-12-08 Digvijay Wadekar , Roman Scoccimarro

We present the cosmological distance errors achievable using the baryon acoustic oscillations as a standard ruler. We begin from a Fisher matrix formalism that is upgraded from Seo & Eisenstein (2003). We isolate the information from the…

天体物理学 · 物理学 2011-02-11 Hee-Jong Seo , Daniel J. Eisenstein

Fisher Information Matrix methods are commonly used in cosmology to estimate the accuracy that cosmological parameters can be measured with a given experiment, and to optimise the design of experiments. However, the standard approach…

宇宙学与河外天体物理 · 物理学 2015-05-27 A. Kiessling , A. N. Taylor , A. F. Heavens

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

统计理论 · 数学 2019-12-23 Hai Shu , Bin Nan

Mass measurements of astronomical objects are most wanted but still elusive. We need them to trace the formation and evolution of cosmic structure but we can get direct measurements only for a minority. This lack can be circumvented with a…

宇宙学与河外天体物理 · 物理学 2017-05-03 Mauro Sereno , Stefano Ettori

Modern sky surveys are returning precision measurements of cosmological statistics such as weak lensing shear correlations, the distribution of galaxies, and cluster abundance. To fully exploit these observations, theorists must provide…

宇宙学与河外天体物理 · 物理学 2015-06-15 Katrin Heitmann , Earl Lawrence , Juliana Kwan , Salman Habib , David Higdon

The measurement of Baryonic Acoustic Oscillations from galaxy surveys is well known to be a robust and powerful tool to constrain dark energy. This method relies on the knowledge of the size of the acoustic horizon at radiation drag derived…

宇宙学与河外天体物理 · 物理学 2010-10-13 Anna Mangilli , Licia Verde , Maria Beltran

We propose a simple method to quantify a possible exclusion of the inverted neutrino mass ordering from cosmological bounds on the sum of the neutrino masses. The method is based on Bayesian inference and allows for a calculation of the…

宇宙学与河外天体物理 · 物理学 2016-11-21 Steen Hannestad , Thomas Schwetz

We propose a Bayesian uncertainty quantification method for large-scale imaging inverse problems. Our method applies to all Bayesian models that are log-concave, where maximum-a-posteriori (MAP) estimation is a convex optimization problem.…

统计方法学 · 统计学 2018-11-07 Audrey Repetti , Marcelo Pereyra , Yves Wiaux

Baryon acoustic oscillations (BAOs) are a powerful probe of the expansion history of our Universe and are typically measured in the two-point statistics of a galaxy survey, either in Fourier space or in configuration space. In this work, we…

宇宙学与河外天体物理 · 物理学 2022-11-16 Tyann Dumerchat , Julian E. Bautista

Peak statistics in weak lensing maps access the non-Gaussian information contained in the large-scale distribution of matter in the Universe. They are therefore a promising complement to two-point and higher-order statistics to constrain…

宇宙学与河外天体物理 · 物理学 2017-03-08 Austin Peel , Chieh-An Lin , Francois Lanusse , Adrienne Leonard , Jean-Luc Starck , Martin Kilbinger

We re-examine a genuine power of weak lensing bispectrum tomography for constraining cosmological parameters, when combined with the power spectrum tomography, based on the Fisher information matrix formalism. To account for the full…

宇宙学与河外天体物理 · 物理学 2013-06-21 Issha Kayo , Masahiro Takada

We apply a mass reconstruction technique to simulated large-scale structure gravitational distortion maps, from 2.5' to 10 degree scales, for different cosmological scenarii. The projected mass is reconstructed using a non-parametric least…

天体物理学 · 物理学 2007-05-23 L. Van Waerbeke , F. Bernardeau , Y. Mellier

Centered Gaussian random fields (GRFs) indexed by compacta such as smooth, bounded Euclidean domains or smooth, compact and orientable manifolds are determined by their covariance operators. We consider centered GRFs given as variational…

统计理论 · 数学 2021-03-09 Helmut Harbrecht , Lukas Herrmann , Kristin Kirchner , Christoph Schwab

We present a method to estimate non-Gaussian power spectrum covariance matrices by directly measuring the response of the small-scale power spectrum to long-wavelength perturbations via bispectrum and trispectrum estimators. Specifically,…

宇宙学与河外天体物理 · 物理学 2026-04-21 Samuel Goldstein , Kendrick M. Smith , Utkarsh Giri , Moritz Münchmeyer

We make forecasts for the constraining power of the 1D Wavelet Scattering Transform (WST) when used with a Lyman-$\alpha$ forest cosmology survey. Using mock simulations and a Fisher matrix, we show that there is considerable cosmological…

宇宙学与河外天体物理 · 物理学 2026-02-05 Hurum Maksora Tohfa , Simeon Bird , Ming-Feng Ho , Mahdi Qezlou , Martin Fernandez

A hierarchical Bayesian approach that permits simultaneous inference for the regression coefficient matrix and the error precision (inverse covariance) matrix in the multivariate linear model is proposed. Assuming a natural ordering of the…

统计方法学 · 统计学 2024-10-29 Christina Zhao , Ding Xiang , Galin L. Jones , Adam J. Rothman

Oscillations in the baryon-photon fluid prior to recombination imprint different signatures on the power spectrum and correlation function of matter fluctuations. The measurement of these features using galaxy surveys has been proposed as…

天体物理学 · 物理学 2009-11-13 Ariel G. Sanchez , Carlton M. Baugh , Raul Angulo

Future large-scale structure surveys of the Universe will aim to constrain the cosmological model and the true nature of dark energy with unprecedented accuracy. In order for these surveys to achieve their designed goals, they will require…

宇宙学与河外天体物理 · 物理学 2015-06-12 Robert E. Smith , Darren S. Reed , Doug Potter , Laura Marian , Martin Crocce , Ben Moore