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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…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 William Ortolá Leonard , Zachary Slepian

We analyze the 2-point correlation function (2PCF) of galaxy groups identified from the 2-degree Field Galaxy Redshift Survey with the halo based group finder recently developed by Yang et al (2004b). With this group catalogue we are able…

Astrophysics · Physics 2009-11-10 Xiaohu Yang , H. J. Mo , Frank C. van den Bosch , Y. P. Jing

The derivation of cosmological parameters from astrophysical data sets routinely involves operations counts which scale as O(N^3) where N is the number of data points. Currently planned missions, including MAP and Planck, will generate sky…

Astrophysics · Physics 2009-10-31 A. Kogut

[Abriged] Astronomical Wide Field Imaging performed with new large format CCD detectors poses data reduction problems of unprecedented scale which are difficult to deal with traditional interactive tools. We present here NExt (Neural…

Astrophysics · Physics 2009-10-31 S. Andreon , G. Gargiulo , G. Longo , R. Tagliaferri , N. Capuano

We present an improved framework for estimating the growth rate of large-scale structure, using measurements of the galaxy-velocity cross-correlation in configuration space. We consider standard estimators of the velocity auto-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Ryan J. Turner , Chris Blake , Rossana Ruggeri

We present the measurements of the luminosity-dependent redshift-space three-point correlation functions (3PCFs) for the Sloan Digital Sky Survey (SDSS) DR7 Main galaxy sample. We compare the 3PCF measurements to the predictions from three…

Widefield surveys of the sky probe many clustered scalar fields -- such as galaxy counts, lensing potential, gas pressure, etc. -- that are sensitive to different cosmological and astrophysical processes. Our ability to constrain such…

Galaxy groups provide the means for a great diversity of studies that contribute to a better understanding of the structure of the universe on a large scale and allow the properties of galaxies to be linked to those of the host halos.…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Facundo Rodriguez , Manuel Merchán

Classification is one of the core problems in Computer-Aided Diagnosis (CAD), targeting for early cancer detection using 3D medical imaging interpretation. High detection sensitivity with desirably low false positive (FP) rate is critical…

Computer Vision and Pattern Recognition · Computer Science 2014-05-20 Meizhu Liu , Le Lu , Xiaojing Ye , Shipeng Yu

We develop a set of machine-learning based cosmological emulators, to obtain fast model predictions for the $C(\ell)$ angular power spectrum coefficients characterising tomographic observations of galaxy clustering and weak gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-30 Marco Bonici , Luca Biggio , Carmelita Carbone , Luigi Guzzo

Observed galaxy clustering exhibits local transverse statistical isotropy around the line-of-sight (LOS). The variation of the LOS across a galaxy survey complicates the measurement of the observed clustering as a function of the angle to…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-17 Davide Bianchi , Héctor Gil-Marín , Rossana Ruggeri , Will J. Percival

Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Marcel Schmittfull , Azadeh Moradinezhad Dizgah

The problem of space-efficient depth-first search (DFS) is reconsidered. A particularly simple and fast algorithm is presented that, on a directed or undirected input graph $G=(V,E)$ with $n$ vertices and $m$ edges, carries out a DFS in…

Data Structures and Algorithms · Computer Science 2018-05-31 Torben Hagerup

The 2-point correlation function of the galaxy spatial distribution is a major cosmological observable that enables constraints on the dynamics and geometry of the Universe. The Euclid mission aims at performing an extensive spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-13 Euclid Collaboration , S. de la Torre , F. Marulli , E. Keihänen , A. Viitanen , M. Viel , A. Veropalumbo , E. Branchini , D. Tavagnacco , F. Rizzo , J. Valiviita , V. Lindholm , V. Allevato , G. Parimbelli , E. Sarpa , Z. Ghaffari , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Basset , D. Bonino , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Crocce , A. Da Silva , H. Degaudenzi , G. De Lucia , A. M. Di Giorgio , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , F. Faustini , S. Ferriol , N. Fourmanoit , M. Frailis , E. Franceschi , P. Franzetti , M. Fumana , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , B. R. Granett , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , R. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , B. Morin , L. Moscardini , E. Munari , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , E. Sefusatti , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , C. Surace , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , A. Tsyganov , I. Tutusaus , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , E. Zucca , A. Biviano , M. Bolzonella , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , R. Farinelli , F. Finelli , L. Gabarra , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Mora , A. Pezzotta , M. Pöntinen , V. Scottez , P. Simon , A. Spurio Mancini , M. Tenti , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , D. Bertacca , M. Bethermin , A. Blanchard , L. Blot , H. Böhringer , S. Borgani , M. L. Brown , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , G. Cañas-Herrera , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , F. Cogato , S. Contarini , A. R. Cooray , O. Cucciati , S. Davini , F. De Paolis , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , P. G. Ferreira , A. Finoguenov , A. Fontana , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gregorio , M. Guidi , C. M. Gutierrez , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , A. M. C. Le Brun , S. Lee , J. Le Graet , L. Legrand , M. Lembo , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , C. Murray , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , K. Paterson , L. Patrizii , A. Pisani , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , M. Sahlén , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , M. Sereno , A. Silvestri , L. C. Smith , K. Tanidis , C. Tao , N. Tessore , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , D. Vergani , G. Verza , P. Vielzeuf , N. A. Walton

We present a systematic comparison of some usual estimators of the 2--point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small…

The objective of our research is to demonstrate the practical usage and orders of magnitude speedup of real-world applications by using alternative technologies to support high performance computing. Currently, the main barrier to the…

Astrophysics · Physics 2007-11-22 Robert J. Brunner , Volodymyr V. Kindratenko , Adam D. Myers

The possibility to constrain cosmological parameters from galaxy surveys using field-level machine learning methods that bypass traditional summary statistics analyses, depends crucially on our ability to generate simulated training sets.…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Iñigo Sáez-Casares , Matteo Calabrese , Davide Bianchi , Marina S. Cagliari , Marco Chiarenza , Jean-Marc Christille , Luigi Guzzo

Thanks to the recent availability of large surveys, there has been renewed interest in third-order correlation statistics. Measures of third-order clustering are sensitive to the structure of filaments and voids in the universe and are…

Astrophysics · Physics 2010-11-11 J. M. Loh

Percolation analysis has long been used to quantify the connectivity of the cosmic web. Most of the previous work is based on density fields on grids. By smoothing into fields, we lose information about galaxy properties like shape or…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-07 Jiajun Zhang , Dalong Cheng , Ming-Chung Chu

Natural orbital functional (NOF) theory offers a promising approach for studying strongly correlated systems at an affordable computational cost, with an accuracy comparable to highly demanding wavefunction-based methods. However, its…

Strongly Correlated Electrons · Physics 2025-01-31 Juan Felipe Huan Lew-Yee , Jorge M. del Campo , Mario Piris