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We seek to improve estimates of the power spectrum covariance matrix from a limited number of simulations by employing a novel statistical technique known as shrinkage estimation. The shrinkage technique optimally combines an empirical…

Astrophysics · Physics 2009-11-13 Adrian C. Pope , István Szapudi

Cosmic shear tomography has emerged as one of the most promising tools to both investigate the nature of dark energy and discriminate between General Relativity and modified gravity theories. In order to successfully achieve these goals,…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-05 V. F. Cardone , M. Martinelli , E. Calabrese , S. Galli , Z. Huang , R. Maoli , A. Melchiorri , R. Scaramella

State estimates from weak constraint 4D-Var data assimilation can vary significantly depending on the data and model error covariances. As a result, the accuracy of these estimates heavily depends on the correct specification of both model…

Methodology · Statistics 2025-04-28 Sandra R. Babyale , Jodi Mead , Donna Calhoun , Patricia O. Azike

The statistical properties of a map of the primary fluctuations in the cosmic microwave background (CMB) may be specified to high accuracy by a few thousand power spectra measurements, provided the fluctuations are gaussian, yet the number…

Astrophysics · Physics 2009-11-07 Sujata Gupta , Alan F. Heavens

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

Machine Learning · Statistics 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

We present methods to rigorously extract parameter combinations that are constrained by data from posterior distributions. The standard approach uses linear methods that apply to Gaussian distributions. We show the limitations of the linear…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Tara Dacunha , Marco Raveri , Minsu Park , Cyrille Doux , Bhuvnesh Jain

We present a cosmological analysis of the third-order aperture mass statistic using Dark Energy Survey Year 3 (DES Y3) data. We perform a complete tomographic measurement of the three-point correlation function of the Y3 weak lensing shape…

We study how parameter error forecasts for tomographic cosmic shear observations are affected by sky coverage, density of source galaxies, inclusion of CMB experiments, simultaneou fitting of non--dark energy parameters, and the…

Astrophysics · Physics 2010-04-22 Yong-Seon Song , Lloyd Knox

We evaluate the covariance matrix of the matter power spectrum using perturbation theory up to dominant terms at 1-loop order and compare it to numerical simulations. We decompose the covariance matrix into the disconnected (Gaussian) part,…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Irshad Mohammed , Uros Seljak , Zvonimir Vlah

We develop extreme data compression for use in Bayesian model comparison via the MOPED algorithm, as well as more general score compression. We find that Bayes factors from data compressed with the MOPED algorithm are identical to those…

Instrumentation and Methods for Astrophysics · Physics 2023-07-17 Alan F. Heavens , Arrykrishna Mootoovaloo , Roberto Trotta , Elena Sellentin

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…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-08 Étienne Camphuis , Karim Benabed , Silvia Galli , Éric Hivon , Marc Lilley

We study the properties of galaxy cluster 2-point correlation function covariance matrices estimated using the linear-construction (LC) method, which is computationally up to 20 times faster than the standard sample-covariance method. Our…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-12 V. Lindholm , E. Sihvola , J. Valiviita , A. Fumagalli , B. Altieri , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , E. Branchini , M. Brescia , S. Camera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , S. Kermiche , A. Kiessling , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , I. Lloro , G. Mainetti , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , M. Melchior , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , R. Nakajima , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , C. Rosset , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , P. Simon , C. Sirignano , G. Sirri , L. Stanco , P. Tallada-Crespí , A. N. Taylor , I. Tereno , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , T. Vassallo , G. Verdoes Kleijn , Y. Wang , J. Weller , G. Zamorani , E. Zucca , T. Castro , J. Martín-Fleitas , P. Monaco , A. Pezzotta , V. Scottez , M. Sereno , M. Viel , D. Sciotti

In this study, we investigate the impact of covariance within uncertainties on the inference of cosmological and astrophysical parameters, specifically focusing on galaxy stellar mass functions derived from the CAMELS simulation suite.…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-30 Yongseok Jo , Shy Genel , Joel Leja , Benjamin Wandelt

We evaluate the potential for current and future cosmic shear measurements from large galaxy surveys to constrain the impact of baryonic physics on the matter power spectrum. We do so using a model-independent parameterization that…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-05 Simon Foreman , Matthew R. Becker , Risa H. Wechsler

Weak-lensing mass-mapping algorithms, which reconstruct the convergence field from galaxy shear measurements, are crucial for extracting higher-order statistics to constrain cosmological parameters. However, only limited research has…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-28 Andreas Tersenov , Lucie Baumont , Jean-Luc Starck , Martin Kilbinger

Weak gravitational lensing has become a common tool to constrain the cosmological model. The majority of the methods to derive constraints on cosmological parameters use second-order statistics of the cosmic shear. Despite their success,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Sandrine Pires , Adrienne Leonard , Jean-Luc Starck

In order to obtain a good understanding of astrochemistry, it is crucial to better understand the key parameters that govern grain-surface chemistry. For many chemical networks, these crucial parameters are the binding energies of the…

Astrophysics of Galaxies · Physics 2023-06-12 Johannes Heyl , Serena Viti , Gijs Vermariën

This work and its companion paper, Amon et al. (2021), present cosmic shear measurements and cosmological constraints from over 100 million source galaxies in the Dark Energy Survey (DES) Year 3 data. We constrain the lensing amplitude…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-17 L. F. Secco , S. Samuroff , E. Krause , B. Jain , J. Blazek , M. Raveri , A. Campos , A. Amon , A. Chen , C. Doux , A. Choi , D. Gruen , G. M. Bernstein , C. Chang , J. DeRose , J. Myles , A. Ferté , P. Lemos , D. Huterer , J. Prat , M. A. Troxel , N. MacCrann , A. R. Liddle , T. Kacprzak , X. Fang , C. Sánchez , S. Pandey , S. Dodelson , P. Chintalapati , K. Hoffmann , A. Alarcon , O. Alves , F. Andrade-Oliveira , E. J. Baxter , K. Bechtol , M. R. Becker , A. Brandao-Souza , H. Camacho , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , J. P. Cordero , M. Crocce , C. Davis , E. Di Valentino , A. Drlica-Wagner , K. Eckert , T. F. Eifler , M. Elidaiana , F. Elsner , J. Elvin-Poole , S. Everett , P. Fosalba , O. Friedrich , M. Gatti , G. Giannini , R. A. Gruendl , I. Harrison , W. G. Hartley , K. Herner , H. Huang , E. M. Huff , M. Jarvis , N. Jeffrey , N. Kuropatkin , P. -F. Leget , J. Muir , J. Mccullough , A. Navarro Alsina , Y. Omori , Y. Park , A. Porredon , R. Rollins , A. Roodman , R. Rosenfeld , A. J. Ross , E. S. Rykoff , J. Sanchez , I. Sevilla-Noarbe , E. S. Sheldon , T. Shin , I. Tutusaus , T. N. Varga , N. Weaverdyck , R. H. Wechsler , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bhargava , S. L. Bridle , D. Brooks , E. Buckley-Geer , D. L. Burke , J. Carretero , M. Costanzi , L. N. da Costa , J. De Vicente , H. T. Diehl , J. P. Dietrich , P. Doel , I. Ferrero , B. Flaugher , J. Frieman , J. García-Bellido , E. Gaztanaga , D. W. Gerdes , T. Giannantonio , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , B. Hoyle , D. J. James , T. Jeltema , K. Kuehn , O. Lahav , M. Lima , H. Lin , M. A. G. Maia , J. L. Marshall , P. Martini , P. Melchior , F. Menanteau , R. Miquel , J. J. Mohr , R. Morgan , R. L. C. Ogando , A. Palmese , F. Paz-Chinchón , D. Petravick , A. Pieres , A. A. Plazas Malagón , M. Rodriguez-Monroy , A. K. Romer , E. Sanchez , V. Scarpine , M. Schubnell , D. Scolnic , S. Serrano , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To

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…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 A. Kiessling , A. N. Taylor , A. F. Heavens

In this work, which is the first of a series to prepare a cosmological parameter analysis with third-order cosmic shear statistics, we model both the shear three-point correlation functions $\Gamma^{(i)}$ and the third-order aperture…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-05 Sven Heydenreich , Laila Linke , Pierre Burger , Peter Schneider
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