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Abstract Covariance matrix estimation is a challenging problem in cosmology. Recent work has shown that model covariance matrices can be precise, and that at relatively large scales they can also be accurate. We introduce a data-driven…

宇宙学与河外天体物理 · 物理学 2019-11-13 Ross O'Connell

Accurate covariance matrices are required for a reliable estimation of cosmological parameters from pseudo-power spectrum estimators. In this work, we focus on the analytical calculation of covariance matrices. We consider the case of…

宇宙学与河外天体物理 · 物理学 2022-12-08 Étienne Camphuis , Karim Benabed , Silvia Galli , Éric Hivon , Marc Lilley

$ $Future surveys could obtain tighter constraints on the cosmological parameters with the galaxy power spectrum than with the Cosmic Microwave Background. However, the inclusion of multiple overlapping tracers, redshift bins, and more…

宇宙学与河外天体物理 · 物理学 2024-09-24 Yan Lai , Cullan Howlett , Tamara M. Davis

We introduce a new method for estimating the covariance matrix for the galaxy correlation function in surveys of large-scale structure. Our method combines simple theoretical results with a realistic characterization of the survey to…

宇宙学与河外天体物理 · 物理学 2016-08-31 Ross O'Connell , Daniel Eisenstein , Mariana Vargas , Shirley Ho , Nikhil Padmanabhan

Empirical estimates of the band power covariance matrix are commonly used in cosmic microwave background (CMB) power spectrum analyses. While this approach easily captures correlations in the data, noise in the resulting covariance estimate…

宇宙学与河外天体物理 · 物理学 2022-03-14 L. Balkenhol , C. L. Reichardt

We investigate large-amplitude baryon acoustic oscillations (BAO's) in off-diagonal entries of cosmological power-spectrum covariance matrices. These covariance-matrix BAO's describe the increased attenuation of power-spectrum BAO's caused…

天体物理学 · 物理学 2008-03-01 Mark C. Neyrinck , István Szapudi

The baryon acoustic oscillations are a promising route to the precision measure of the cosmological distance scale and hence the measurement of the time evolution of dark energy. We show that the non-linear degradation of the acoustic…

天体物理学 · 物理学 2008-11-26 Daniel J. Eisenstein , Hee-jong Seo , Edwin Sirko , David Spergel

Super-sample covariance (SSC) is an important effect for cosmological analyses that use the deep structure of the cosmic web; it may, however, be nontrivial to include it practically in a pipeline. We solve this difficulty by presenting a…

The abundance of peaks in weak gravitational lensing maps is a potentially powerful cosmological tool, complementary to measurements of the shear power spectrum. We study peaks detected directly in shear maps, rather than convergence maps,…

宇宙学与河外天体物理 · 物理学 2015-09-16 Nicolas Martinet , James G. Bartlett , Alina Kiessling , Barbara Sartoris

Precision measurements of the large scale structure of the Universe require large numbers of high fidelity mock catalogs to accurately assess, and account for, the presence of systematic effects. We introduce and test a scheme for…

宇宙学与河外天体物理 · 物理学 2016-06-01 Tomomi Sunayama , Nikhil Padmanabhan , Katrin Heitmann , Salman Habib , Esteban Rangel

Covariance matrices are essential cosmological probes of fundamental physics, providing information on numerous fundamental physical parameters and varying with any change in the underlying cosmology. However, this cosmology dependence,…

宇宙学与河外天体物理 · 物理学 2026-01-21 Theodore Steele , Robert Smith , Roisin O'Connor

An accurate covariance matrix is essential for obtaining reliable cosmological results when using a Gaussian likelihood. In this paper we study the covariance of pseudo-$C_\ell$ estimates of tomographic cosmic shear power spectra. Using two…

Super sample covariance (SSC) is important when estimating covariance matrices using a set of mock catalogues for galaxy surveys. If the underlying cosmological simulations do not include the variation in background parameters appropriate…

宇宙学与河外天体物理 · 物理学 2025-03-05 Greg Schreiner , Alex Krolewski , Shahab Joudaki , Will J. Percival

Covariance matrix estimation is a persistent challenge for cosmology. We focus on a class of model covariance matrices that can be generated with high accuracy and precision, using a tiny fraction of the computational resources that would…

宇宙学与河外天体物理 · 物理学 2019-05-29 Ross O'Connell , Daniel J. Eisenstein

Covariance tapering is a popular approach for reducing the computational cost of spatial prediction and parameter estimation for Gaussian process models. However, tapering can have poor performance when the process is sampled at spatially…

统计计算 · 统计学 2016-02-22 David Bolin , Jonas Wallin

The Lyman-$\alpha$ (Ly$\alpha$) three-dimensional correlation functions have been widely used to perform cosmological inference using the baryon acoustic oscillation (BAO) scale. While the traditional inference approach employs a data…

宇宙学与河外天体物理 · 物理学 2024-02-15 Francesca Gerardi , Andrei Cuceu , Benjamin Joachimi , Seshadri Nadathur , Andreu Font-Ribera

Forthcoming cosmic shear surveys will make precise measurements of the matter density field down to very small scales, scales which are dominated by baryon feedback. The modelling of baryon feedback is crucial to ensure unbiased…

宇宙学与河外天体物理 · 物理学 2025-02-10 Alessandro Maraio , Alex Hall , Andy Taylor

Making cosmological inferences from the observed galaxy clustering requires accurate predictions for the mean clustering statistics and their covariances. Those are affected by cosmic variance -- the statistical noise due to the finite…

宇宙学与河外天体物理 · 物理学 2020-04-08 Anatoly Klypin , Francisco Prada , Joyce Byun

We present a study on the robustness of the covariance matrix estimation for galaxy clustering measurements depending on the cosmological parameters and galaxy bias. To this end, we have produced 9000 galaxy mock catalogues relying on the…

宇宙学与河外天体物理 · 物理学 2018-08-22 Falk Baumgarten , Chia-Hsun Chuang

Compressive sampling has been widely used for sparse polynomial chaos (PC) approximation of stochastic functions. The recovery accuracy of compressive sampling highly depends on the incoherence properties of the measurement matrix. In this…

统计计算 · 统计学 2018-10-17 Negin Alemazkoor , Hadi Meidani