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[Abridged] We seek approximations to the cosmic shear covariance that are as easy to use as the common approximations based on normal statistics, but yield more accurate covariance matrices and parameter errors. We derive expressions for…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Stefan Hilbert , Jan Hartlap , Peter Schneider

We develop a method to simulate galaxy-galaxy weak lensing by utilizing all-sky, light-cone simulations and their inherent halo catalogs. Using the mock catalog to study the error covariance matrix of galaxy-galaxy weak lensing, we compare…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-26 Masato Shirasaki , Masahiro Takada , Hironao Miyatake , Ryuichi Takahashi , Takashi Hamana , Takahiro Nishimichi , Ryoma Murata

Recent cosmic shear analyses have exhibited discrepancies of up to $1\sigma$ between the inferred cosmological parameters when analyzing summary statistics in real space versus harmonic space. In this paper, we demonstrate the consistent…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-23 Andy Park , Sukhdeep Singh , Xiangchong Li , Rachel Mandelbaum , Tianqing Zhang

We present measurements of weak gravitational lensing cosmic shear two-point statistics using Dark Energy Survey Science Verification data. We demonstrate that our results are robust to the choice of shear measurement pipeline, either ngmix…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-28 M. R. Becker , M. A. Troxel , N. MacCrann , E. Krause , T. F. Eifler , O. Friedrich , A. Nicola , A. Refregier , A. Amara , D. Bacon , G. M. Bernstein , C. Bonnett , S. L. Bridle , M. T. Busha , C. Chang , S. Dodelson , B. Erickson , A. E. Evrard , J. Frieman , E. Gaztanaga , D. Gruen , W. Hartley , B. Jain , M. Jarvis , T. Kacprzak , D. Kirk , A. Kravtsov , B. Leistedt , E. S. Rykoff , C. Sabiu , C. Sanchez , H. Seo , E. Sheldon , R. H. Wechsler , J. Zuntz , T. Abbott , F. B. Abdalla , S. Allam , R. Armstrong , M. Banerji , A. H. Bauer , A. Benoit-Levy , E. Bertin , D. Brooks , E. Buckley-Geer , D. L. Burke , D. Capozzi , A. Carnero Rosell , M. Carrasco Kind , J. Carretero , F. J. Castander , M. Crocce , C. E. Cunha , C. B. D'Andrea , L. N. da Costa , D. L. DePoy , S. Desai , H. T. Diehl , J. P. Dietrich , P. Doel , A. Fausti Neto , E. Fernandez , D. A. Finley , B. Flaugher , P. Fosalba , D. W. Gerdes , R. A. Gruendl , G. Gutierrez , K. Honscheid , D. J. James , K. Kuehn , N. Kuropatkin , O. Lahav , T. S. Li , M. Lima , M. A. G. Maia , M. March , P. Martini , P. Melchior , C. J. Miller , R. Miquel , J. J. Mohr , R. C. Nichol , B. Nord , R. Ogando , A. A. Plazas , K. Reil , A. K. Romer , A. Roodman , M. Sako , E. Sanchez , V. Scarpine , M. Schubnell , I. Sevilla-Noarbe , R. C. Smith , M. Soares-Santos , F. Sobreira , E. Suchyta , M. E. C. Swanson , G. Tarle , J. Thaler , D. Thomas , V. Vikram , A. R. Walker , The DES Collaboration

We present a new method, called $x$-cut cosmic shear, which optimally removes sensitivity to poorly modeled scales from the two-point cosmic shear signal. We show that the $x$-cut cosmic shear covariance matrix can be computed from the…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-19 Peter L. Taylor , Francis Bernardeau , Eric Huff

Covariance matrix estimation, a classical statistical topic, poses significant challenges when the sample size is comparable to or smaller than the number of features. In this paper, we frame covariance matrix estimation as a compound…

Methodology · Statistics 2025-03-04 Huqin Xin , Sihai Dave Zhao

Computing the inverse covariance matrix (or precision matrix) of large data vectors is crucial in weak lensing (and multi-probe) analyses of the large scale structure of the universe. Analytically computed covariances are noise-free and…

Instrumentation and Methods for Astrophysics · Physics 2017-12-06 Oliver Friedrich , Tim Eifler

We perform a cosmic shear analysis in harmonic space using the first year of data collected by the Dark Energy Survey (DES-Y1). We measure the cosmic weak lensing shear power spectra using the Metacalibration catalogue and perform a…

We introduce OneCovariance, an open-source software designed to accurately compute covariance matrices for an arbitrary set of two-point summary statistics across a variety of large-scale structure tracers. Utilising the halo model, we…

Covariance matrices are important tools for obtaining reliable parameter constraints. Advancements in cosmological surveys lead to larger data vectors and, consequently, increasingly complex covariance matrices, whose number of elements…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-31 Tassia Ferreira , Valerio Marra

We tackle covariance estimation in low-sample scenarios, employing a structured covariance matrix with shrinkage methods. These involve convexly combining a low-bias/high-variance empirical estimate with a biased regularization estimator,…

Instrumentation and Methods for Astrophysics · Physics 2024-06-28 Olivier Flasseur , Eric Thiébaut , Loïc Denis , Maud Langlois

We consider the problem of joint estimation of structured covariance matrices. Assuming the structure is unknown, estimation is achieved using heterogeneous training sets. Namely, given groups of measurements coming from centered…

Statistics Theory · Mathematics 2016-04-20 Ilya Soloveychik , Ami Wiesel

The Infinitesimal Jackknife is a general method for estimating variances of parametric models, and more recently also for some ensemble methods. In this paper we extend the Infinitesimal Jackknife to estimate the covariance between any two…

Machine Learning · Statistics 2022-09-02 Indrayudh Ghosal , Yunzhe Zhou , Giles Hooker

In cryo-electron microscopy, the 3D electric potentials of an ensemble of molecules are projected along arbitrary viewing directions to yield noisy 2D images. The volume maps representing these potentials typically exhibit a great deal of…

Applications · Statistics 2018-02-08 Joakim Andén , Amit Singer

Future large scale cosmological surveys will provide huge data sets whose analysis requires efficient data compression. Calculating accurate covariances is extremely challenging with increasing number of statistics used. Here we introduce a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Marika Asgari , Peter Schneider

Using 1000 ray-tracing simulations for a {\Lambda}-dominated cold dark model in Sato et al. (2009), we study the covariance matrix of cosmic shear correlation functions, which is the standard statistics used in the previous measurements.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Masanori Sato , Masahiro Takada , Takashi Hamana , Takahiko Matsubara

To make use of clustering statistics from large cosmological surveys, accurate and precise covariance matrices are needed. We present a new code to estimate large scale galaxy two-point correlation function (2PCF) covariances in arbitrary…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Oliver H. E. Philcox , Daniel J. Eisenstein , Ross O'Connell , Alexander Wiegand

We study the implications of including many covariates in a first-step estimate entering a two-step estimation procedure. We find that a first order bias emerges when the number of \textit{included} covariates is "large" relative to the…

Econometrics · Economics 2018-07-27 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

Constraining cosmological parameters from measurements of the Integrated Sachs-Wolfe effect requires developing robust and accurate methods for computing statistical errors in the cross-correlation between maps. This paper presents a…

Astrophysics · Physics 2009-11-13 Anna Cabre , Pablo Fosalba , Enrique Gaztanaga , Marc Manera