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

We present a new approach to measuring cosmic expansion history and growth rate of large scale structure using the anisotropic two dimensional galaxy correlation function (2DCF) measured from data; it makes use of the empirical modeling of…

宇宙学与河外天体物理 · 物理学 2016-12-07 Yun Wang

Two-point correlation functions (2PCF) are widely used to characterize how points cluster in space. In this work, we study the problem of measuring the 2PCF over a large set of points, restricted to a subset satisfying a property of…

计算机视觉与模式识别 · 计算机科学 2026-04-08 Max Hamilton , Daniel Sheldon , Subhransu Maji

Big datasets are gathered daily from different remote sensing platforms. Recently, statistical co-kriging models, with the help of scalable techniques, have been able to combine such datasets by using spatially varying bias corrections. The…

统计计算 · 统计学 2023-11-15 Si Cheng , Bledar A. Konomi , Georgos Karagiannis , Emily L. Kang

The two-point correlation function (2PCF) is the most widely used tool for quantifying the spatial distribution of galaxies. Since the distribution of galaxies is determined by galaxy formation physics as well as the underlying cosmology,…

宇宙学与河外天体物理 · 物理学 2020-01-08 Manodeep Sinha , Lehman H. Garrison

We provide computationally attractive methods to obtain jackknife-based cluster-robust variance matrix estimators (CRVEs) for linear regression models estimated by least squares. We also propose several new variants of the wild cluster…

计量经济学 · 经济学 2023-02-14 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

We present an $8.1\sigma$ detection of the non-Gaussian 4-Point Correlation Function (4PCF) using a sample of $N_{\rm g} \approx 8\times 10^5$ galaxies from the BOSS CMASS dataset. Our measurement uses the $\mathcal{O}(N_{\rm g}^2)$ NPCF…

宇宙学与河外天体物理 · 物理学 2021-08-05 Oliver H. E. Philcox , Jiamin Hou , Zachary Slepian

We present a numerically cheap approximation to super-sample covariance (SSC) of large scale structure cosmological probes, first in the case of angular power spectra. It necessitates no new elements besides those used for the prediction of…

宇宙学与河外天体物理 · 物理学 2019-04-17 Fabien Lacasa , Julien Grain

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…

天体物理仪器与方法 · 物理学 2017-12-06 Oliver Friedrich , Tim Eifler

We present an algorithm that computes the multipole coefficients of the galaxy three-point correlation function (3PCF) without explicitly considering triplets of galaxies. Rather, centering on each galaxy in the survey, it expands the…

宇宙学与河外天体物理 · 物理学 2015-11-04 Zachary Slepian , Daniel J. Eisenstein

The combination of galaxy-galaxy lensing and galaxy clustering data has the potential to simultaneously constrain both the cosmological and galaxy formation models. In this paper we perform a comprehensive exploration of these signals and…

宇宙学与河外天体物理 · 物理学 2015-05-20 Laura Marian , Robert E. Smith , Raul E. Angulo

Novel summary statistics beyond the standard 2-point correlation function (2PCF) are necessary to capture the full astrophysical and cosmological information from the small-scale (r < 30Mpc/h) galaxy clustering. However, the analysis of…

宇宙学与河外天体物理 · 物理学 2023-03-01 Sihan Yuan , Boryana Hadzhiyska , Tom Abel

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…

宇宙学与河外天体物理 · 物理学 2022-05-31 Tassia Ferreira , Valerio Marra

We derive analytic covariance matrices for the $N$-Point Correlation Functions (NPCFs) of galaxies in the Gaussian limit. Our results are given for arbitrary $N$ and projected onto the isotropic basis functions of Cahn & Slepian (2020),…

宇宙学与河外天体物理 · 物理学 2022-08-31 Jiamin Hou , Robert N. Cahn , Oliver H. E. Philcox , Zachary Slepian

I present a new algorithm, CALCLENS, for efficiently computing weak gravitational lensing shear signals from large N-body light cone simulations over a curved sky. This new algorithm properly accounts for the sky curvature and boundary…

宇宙学与河外天体物理 · 物理学 2012-10-15 Matthew R. Becker

When outcome data are expensive or onerous to collect, scientists increasingly substitute predictions from machine learning and AI models for unlabeled cases, a process which has consequences for downstream statistical inference. While…

机器学习 · 统计学 2026-03-13 Stephen Salerno , Zhenke Wu , Tyler McCormick

Convolutional sparse coding (CSC) can learn representative shift-invariant patterns from multiple kinds of data. However, existing CSC methods can only model noises from Gaussian distribution, which is restrictive and unrealistic. In this…

机器学习 · 计算机科学 2020-04-22 Yaqing Wang , James T. Kwok , Lionel M. Ni

We study cluster-robust inference for logistic regression (logit) models. Inference based on the most commonly-used cluster-robust variance matrix estimator (CRVE) can be very unreliable. We study several alternatives. Conceptually the…

计量经济学 · 经济学 2025-05-05 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

Data analysis from upcoming large galaxy redshift surveys, such as Euclid and DESI will significantly improve constraints on cosmological parameters. To optimally extract the information from these galaxy surveys, it is important to control…

宇宙学与河外天体物理 · 物理学 2025-01-22 S. Gouyou Beauchamps , P. Baratta , S. Escoffier , W. Gillard , J. Bel , J. Bautista , C. Carbone

The \textit{Euclid} satellite will deliver a catalogue of optically-selected galaxy clusters spanning from around $2000$ deg$^2$ in Data Release (DR) 1 to around $14\,000$ deg$^2$ in DR3. We assess the validity of cluster clustering (CC)…

宇宙学与河外天体物理 · 物理学 2026-04-29 Euclid Collaboration , E. Tsaprazi , A. Fumagalli , F. Marulli , A. Heavens , G. F. Lesci , M. Romanello , M. Bolzonella , Z. Sakr , B. Altieri , S. Andreon , 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 , 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 , H. Degaudenzi , S. de la Torre , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , 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 , B. Joachimi , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , O. Mansutti , O. Marggraf , M. Martinelli , N. Martinet , R. J. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , E. Munari , C. Neissner , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , E. Sihvola , P. Simon , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , E. Zucca , M. Ballardini , C. Benoist , A. Boucaud , E. Bozzo , C. Burigana , M. Calabrese , T. Castro , J. A. Escartin Vigo , L. Gabarra , J. García-Bellido , J. Macias-Perez , R. Maoli , J. Martín-Fleitas , N. Mauri , R. B. Metcalf , P. Monaco , A. A. Nucita , A. Pezzotta , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Tucci , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , G. Angora , M. Archidiacono , F. Atrio-Barandela , E. Aubourg , L. Bazzanini , J. Bel , D. Bertacca , M. Bethermin , F. Beutler , A. Blanchard , L. Blot , M. Bonici , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , B. Camacho Quevedo , F. Caro , C. S. Carvalho , F. Cogato , S. Contarini , A. R. Cooray , M. Costanzi , F. De Paolis , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , J. M. Diego , V. Duret , M. Y. Elkhashab , A. Enia , Y. Fang , A. Finoguenov , A. Franco , K. Ganga , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , E. J. Gonzalez , G. Gozaliasl , A. Gruppuso , M. Guidi , C. M. Gutierrez , A. Hall , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , J. Le Graet , L. Legrand , M. Lembo , F. Lepori , G. Leroy , J. Lesgourgues , T. I. Liaudat , S. J. Liu , A. Loureiro , M. Magliocchetti , A. Manjón-García , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Miluzio , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , D. Paoletti , K. Paterson , L. Patrizii , C. Pattison , A. Pisani , D. Potter , G. W. Pratt , S. Quai , M. Radovich , K. Rojas , W. Roster , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , L. C. Smith , J. G. Sorce , K. Tanidis , F. Tarsitano , G. Testera , R. Teyssier , S. Tosi , A. Troja , C. Valieri , A. Venhola , D. Vergani , G. Verza , S. Vinciguerra , N. A. Walton , A. H. Wright