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The disconnected part of the power spectrum covariance matrix (also known as the "Gaussian" covariance) is the dominant contribution on large scales for galaxy clustering and weak lensing datasets. The presence of a complicated sky mask…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-02 Carlos García-García , David Alonso , Emilio Bellini

We apply a spherical harmonic analysis to the Point Source Redshift Survey (PSCz), to compute the real-space galaxy power spectrum and the degree of redshift distortion caused by peculiar velocities. We employ new parameter eigenvector and…

Astrophysics · Physics 2007-05-23 A. N. Taylor , W. E. Ballinger , A. F. Heavens , H. Tadros

The determination of the covariance matrix and its inverse, the precision matrix, is critical in the statistical analysis of cosmological measurements. The covariance matrix is typically estimated with a limited number of simulations at…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Marnix J. Looijmans , Mike Shengbo Wang , Florian Beutler

Here we present a number of improvements to weak lensing 3D power spectrum analysis, 3D cosmic shear, that uses the shape and redshift information of every galaxy to constrain cosmological parameters. We show how photometric redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 T. D. Kitching , A. F. Heavens , L. Miller

Covariance estimation becomes challenging in the regime where the number p of variables outstrips the number n of samples available to construct the estimate. One way to circumvent this problem is to assume that the covariance matrix is…

Probability · Mathematics 2012-06-14 Richard Y. Chen , Alex Gittens , Joel A. Tropp

Estimating covariance matrix from massive high-dimensional and distributed data is significant for various real-world applications. In this paper, we propose a data-aware weighted sampling based covariance matrix estimator, namely DACE,…

Machine Learning · Computer Science 2020-10-13 Xixian Chen , Haiqin Yang , Shenglin Zhao , Michael R. Lyu , Irwin King

Accurate and precise covariance matrices will be important in enabling planned cosmological surveys to detect new physics. Standard methods imply either the need for many N-body simulations in order to obtain an accurate estimate, or a…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-13 Alex Hall , Andy Taylor

The major sources of abundant data are constantly expanding with the available data collection methodologies in various applications - medical, insurance, scientific, bio-informatics and business. These data sets may be distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-24 Aruna Govada , Sanjay K. Sahay

We find a simple, accurate model for the covariance matrix of the real-space cosmological matter power spectrum on slightly nonlinear scales (k~0.1-0.8 h/Mpc at z=0), where off-diagonal matrix elements become substantial. The model includes…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-30 Mark C. Neyrinck

Weak gravitational lensing is becoming a mature technique for constraining cosmological parameters, and future surveys will be able to constrain the dark energy equation of state $w$. When analyzing galaxy surveys, redshift information has…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-07 Andrea Petri , Morgan May , Zoltán Haiman

Cosmic shear measurements have now improved to the point where they deserve to be treated on par with CMB and galaxy clustering data for cosmological parameter analysis, using the full measured aperture mass variance curve rather than a…

Astrophysics · Physics 2009-10-07 Xiaomin Wang , Max Tegmark , Bhuvnesh Jain , Matias Zaldarriaga

(Abridged) We investigate and quantify the impact of finite simulation volume on weak lensing two- and four-point statistics. These {\it finite support} (FS) effects are modelled for several estimators, simulation box sizes and source…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Joachim Harnois-Deraps , Ludovic van Waerbeke

The ability to obtain reliable point estimates of model parameters is of crucial importance in many fields of physics. This is often a difficult task given that the observed data can have a very high number of dimensions. In order to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-15 Janis Fluri , Aurelien Lucchi , Tomasz Kacprzak , Alexandre Refregier , Thomas Hofmann

In this paper, we study the cosmological implications of the 100 square degree Weak Lensing survey (the CFHTLS-Wide, RCS, VIRMOS-DESCART and GaBoDS surveys). We combine these weak lensing data with the cosmic microwave background (CMB)…

Astrophysics · Physics 2010-05-07 Hong Li , Jie Liu , Jun-Qing Xia , Lei Sun , Zu-Hui Fan , Charling Tao , Andre Tilquin , Xinmin Zhang

In this work I study the problem of E/B-mode separation with binned cosmic shear two-point correlation function data. Motivated by previous work on E/B-mode separation with shear two-point correlation functions and the practical…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Matthew R. Becker

Previous work on three-point statistics of cosmic shear has mainly concentrated on the convergence, or on aperture measures of the shear. However, as has become clear recently for the two-point statistics of cosmic shear, the basic quantity…

Astrophysics · Physics 2009-11-07 Peter Schneider , Marco Lombardi

A data-driven approach to elucidating the nature of the dark energy, in the form of a joint analysis of a full set of cosmological parameters, utilizing all available observational data is proposed. A parameterization of a generalized dark…

Astrophysics · Physics 2007-05-23 Greg Huey

Analyses of cosmic shear typically condense weak lensing information over a range of scales to a single cosmological parameter, $S_8$. This paper presents a method to extract more information from Stage-IV cosmic shear measurements by…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-30 Calvin Preston , Alexandra Amon , George Efstathiou

We present legacy cosmic shear measurements and cosmological constraints using six years of Dark Energy Survey imaging data. From these data, we study ~140 million galaxies (8.29 galaxies/arcmin$^2$) that are 50% complete at i=24.0 and…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 DES Collaboration , T. M. C. Abbott , M. Aguena , A. Alarcon , O. Alves , A. Amon , D. Anbajagane , F. Andrade-Oliveira , W. d'Assignies , S. Avila , D. Bacon , J. Beas-Gonzalez , K. Bechtol , M. R. Becker , G. M. Bernstein , J. Blazek , S. Bocquet , D. Brooks , H. Camacho , G. Camacho-Ciurana , R. Camilleri , G. Campailla , A. Campos , A. Carnero Rosell , M. Carrasco Kind , J. Carretero , F. J. Castander , R. Cawthon , C. Chang , A. Choi , J. M. Coloma-Nadal , C. Conselice , L. N. da Costa , M. Costanzi , M. Crocce , T. M. Davis , J. De Vicente , D. L. DePoy , J. DeRose , S. Desai , H. T. Diehl , P. Doel , C. Doux , A. Drlica-Wagner , T. F. Eifler , S. Everett , A. E. Evrard , A. Ferté , B. Flaugher , P. Fosalba , O. Friedrich , J. Frieman , J. García-Bellido , M. Gatti , G. Giannini , P. Giles , K. Glazebrook , D. Gruen , R. A. Gruendl , G. Gutierrez , I. Harrison , W. G. Hartley , K. Herner , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. Huterer , B. Jain , D. J. James , M. Jarvis , N. Jeffrey , T. Jeltema , T. Kacprzak , S. Kent , E. Krause , O. Lahav , S. Lee , E. Legnani , H. Lin , J. L. Marshall , S. Mau , J. Mena-Fernández , F. Menanteau , R. Miquel , J. J. Mohr , J. Muir , J. Myles , R. C. Nichol , R. L. C. Ogando , A. Palmese , M. Paterno , W. J. Percival , D. Petravick , A. A. Plazas Malagón , A. Porredon , J. Prat , C. Preston , M. Raveri , M. Rodriguez-Monroy , A. K. Romer , A. Roodman , E. S. Rykoff , S. Samuroff , C. Sánchez , E. Sanchez , D. Sanchez Cid , T. Schutt , I. Sevilla-Noarbe , E. Sheldon , T. Shin , M. E. da Silva Pereira , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , M. Tabbutt , G. Tarle , D. Thomas , C. To , M. A. Troxel , V. Vikram , M. Vincenzi , N. Weaverdyck , J. Weller , P. Wiseman , M. Yamamoto , B. Yanny , B. Yin , J. Zuntz

In order to understand grain-surface chemistry, one must have a good understanding of the reaction rate parameters. For diffusion-based reactions, these parameters are binding energies of the reacting species. However, attempts to estimate…

Astrophysics of Galaxies · Physics 2022-09-28 Johannes Heyl , Elena Sellentin , Jonathan Holdship , Serena Viti