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Aims. We validate a semi-analytical model for the covariance of real-space 2-point correlation function of galaxy clusters. Methods. Using 1000 PINOCCHIO light cones mimicking the expected Euclid sample of galaxy clusters, we calibrate a…

宇宙学与河外天体物理 · 物理学 2022-11-24 Euclid Collaboration , A. Fumagalli , A. Saro , S. Borgani , T. Castro , M. Costanzi , P. Monaco , E. Munari , E. Sefusatti , N. Aghanim , N. Auricchio , M. Baldi , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , J. Carretero , F. J. Castander , M. Castellano , S. Cavuoti , R. Cledassou , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , L. Corcione , F. Courbin , M. Cropper , A. Da Silva , H. Degaudenzi , F. Dubath , X. Dupac , S. Dusini , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , P. Franzetti , S. Galeotta , B. Garilli , W. Gillard , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , A. Hornstrup , P. Hudelot , K. Jahnke , M. Kümmel , S. Kermiche , A. Kiessling , M. Kilbinger , T. Kitching , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , O. Mansutti , O. Marggraf , K. Markovic , F. Marulli , R. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Meneghetti , G. Meylan , M. Moresco , L. Moscardini , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , F. Raison , R. Rebolo-Lopez , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , G. Seidel , C. Sirignano , G. Sirri , L. Stanco , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , J. Zoubian , S. Andreon , S. Bardelli , A. Boucaud , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , G. Fabbian , M. Farina , V. Lindholm , D. Maino , N. Mauri , C. Neissner , V. Scottez , E. Zucca , C. Baccigalupi , A. Balaguera-Antolínez , M. Ballardini , F. Bernardeau , A. Biviano , A. Blanchard , A. S Borlaff , C. Burigana , R. Cabanac , C. S. Carvalho , S. Casas , G. Castignani , K. Chambers , A. R. Cooray , J. Coupon , H. M. Courtois , S. Davini , S. de la Torre , G. Desprez , H. Dole , J. A. Escartin , S. Escoffier , P. G. Ferreira , F. Finelli , J. Garcia-Bellido , K. George , G. Gozaliasl , H. Hildebrandt , I. Hook , A. Jimenez Muňoz , B. Joachimi , V. Kansal , E. Keihänen , C. C. Kirkpatrick , A. Loureiro , M. Magliocchetti , R. Maoli , S. Marcin , M. Martinelli , N. Martinet , S. Matthew , M. Maturi , L. Maurin , R. B. Metcalf , G. Morgante , S. Nadathur , A. A. Nucita , L. Patrizii , J. E. Pollack , V. Popa , C. Porciani , D. Potter , A. Pourtsidou , M. Pöntinen , A. G. Sánchez , Z. Sakr , M. Schirmer , M. Sereno , A. Spurio Mancini , J. Stadel , J. Steinwagner , C. Valieri , J. Valiviita , A. Veropalumbo , M. Viel

We present a method for fast evaluation of the covariance matrix for a two-point galaxy correlation function (2PCF) measured with the Landy-Szalay estimator. The standard way of evaluating the covariance matrix consists in running the…

宇宙学与河外天体物理 · 物理学 2022-10-26 E. Keihanen , V. Lindholm , P. Monaco , L. Blot , C. Carbone , K. Kiiveri , A. G. Sánchez , A. Viitanen , J. Valiviita , A. Amara , N. Auricchio , M. Baldi , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , J. Carretero , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , M. Cropper , A. Da Silva , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , H. Hoekstra , W. Holmes , F. Hormuth , K. Jahnke , M. Kümmel , S. Kermiche , A. Kiessling , T. Kitching , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , F. Marulli , R. Massey , M. Melchior , M. Meneghetti , G. Meylan , M. Moresco , B. Morin , L. Moscardini , E. Munari , S. M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Popa , F. Raison , A. Renzi , J. Rhodes , E. Romelli , R. Saglia , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , C. Sirignano , G. Sirri , L. Stanco , C. Surace , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , S. Andreon , D. Maino , S. de la Torre

Analytical templates for the covariance matrix of the 4-Point Correlation Function (4PCF) have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the first non-Gaussian calculation of the 4PCF…

宇宙学与河外天体物理 · 物理学 2025-09-09 William Ortolá Leonard , Zachary Slepian

This paper is the first in a set that analyses the covariance matrices of clustering statistics obtained from several approximate methods for gravitational structure formation. We focus here on the covariance matrices of anisotropic…

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

Fault detection is crucial to ensure the reliability of navigation systems. However, mainstream fault detection methods are developed based on Gaussian assumptions on nominal errors, while current attempts at non-Gaussian fault detection…

信号处理 · 电气工程与系统科学 2026-01-01 Penggao Yan , Baoshan Song , Xiao Xia , Weisong Wen , Li-Ta Hsu

We perform a detailed analysis of the covariance matrix of the spherically averaged galaxy power spectrum and present a new, practical method for estimating this within an arbitrary survey without the need for running mock galaxy…

宇宙学与河外天体物理 · 物理学 2017-10-18 Cullan Howlett , Will J. Percival

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…

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…

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…

宇宙学与河外天体物理 · 物理学 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

Small- and intermediate-scale galaxy clustering can be used to establish the galaxy-halo connection to study galaxy formation and evolution and to tighten constraints on cosmological parameters. With the increasing precision of galaxy…

宇宙学与河外天体物理 · 物理学 2016-03-23 Zheng Zheng , Hong Guo

We use analytic covariance matrices to carry out a full-shape analysis of the galaxy power spectrum multipoles from the Baryon Oscillation Spectroscopic Survey (BOSS). We obtain parameter estimates that agree well with those based on the…

宇宙学与河外天体物理 · 物理学 2020-12-29 Digvijay Wadekar , Mikhail M. Ivanov , Roman Scoccimarro

Next-generation optical imaging surveys will revolutionise the observations of weak gravitational lensing by galaxy clusters and provide stringent constraints on growth of structure and cosmic acceleration. In these experiments, accurate…

宇宙学与河外天体物理 · 物理学 2019-10-17 Hao-Yi Wu , David H. Weinberg , Andrés N. Salcedo , Benjamin D. Wibking , Ying Zu

We constrain the linear and quadratic bias parameters from the configuration dependence of the three-point correlation function (3PCF) in both redshift and projected space, utilizing measurements of spectroscopic galaxies in the Sloan…

We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform…

宇宙学与河外天体物理 · 物理学 2021-04-16 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

We study the covariance properties of real space correlation function estimators -- primarily galaxy-shear correlations, or galaxy-galaxy lensing -- using SDSS data for both shear catalogs and lenses (specifically the BOSS LOWZ sample).…

宇宙学与河外天体物理 · 物理学 2017-08-30 Sukhdeep Singh , Rachel Mandelbaum , Uroš Seljak , Anže Slosar , Jose Vazquez Gonzalez

Accurate covariance matrices for two-point functions are critical for inferring cosmological parameters in likelihood analyses of large-scale structure surveys. Among various approaches to obtaining the covariance, analytic computation is…

宇宙学与河外天体物理 · 物理学 2021-02-23 Xiao Fang , Tim Eifler , Elisabeth Krause

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…

统计方法学 · 统计学 2025-03-04 Huqin Xin , Sihai Dave Zhao

Accurate estimation of the covariance matrix of cosmic shear statistics is essential for cosmological analyses using current and upcoming wide-area weak lensing surveys. In this work, we investigate analytical methods for computing the…

宇宙学与河外天体物理 · 物理学 2026-05-18 Kosuke Nagura , Ryo Terasawa , Taisei Terawaki , Masahiro Takada

The estimation of cosmological constraints from observations of the large scale structure of the Universe, such as the power spectrum or the correlation function, requires the knowledge of the inverse of the associated covariance matrix,…

宇宙学与河外天体物理 · 物理学 2015-11-04 Dante J. Paz , Ariel G. Sanchez