{"paper":{"title":"Euclid: Fast two-point correlation function covariance through linear construction","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"A. Amara, A. Cimatti, A. Da Silva, A. Ealet, A. Grazian, A.G. S\\'anchez, A. Kiessling, A.N. Taylor, A. Renzi, A. Secroun, A. Viitanen, B. Gillis, B. Morin, B. Sartoris, C.A.J. Duncan, C. Carbone, C. Giocoli, C. Padilla, C. Sirignano, C. Surace, D. Bonino, D. Maino, D. Tavagnacco, E.A. Valentijn, E. Branchini, E. Franceschi, E. Keihanen, E. Maiorano, E. Munari, E. Romelli, F. Dubath, F. Grupp, F. Hormuth, F. Marulli, F. Pasian, F. Raison, F. Torradeflot, G. Congedo, G. Meylan, G. Polenta, G. Seidel, G. Sirri, G. Zamorani, H. Degaudenzi, H. Hoekstra, H. Kurki-Suonio, I. Lloro, I. Tereno, J. Brinchmann, J. Carretero, J. Rhodes, J. Valiviita, J. Weller, J. Zoubian, K. Jahnke, K. Kiiveri, K. Pedersen, L. Blot, L. Conversi, L. Corcione, L. Guzzo, L. Moscardini, L. Popa, L. Stanco, L. Valenziano, M. Baldi, M. Brescia, M. Castellano, M. Cropper, M. Douspis, M. Frailis, M. Fumana, M. K\\\"ummel, M. Kunz, M. Melchior, M. Meneghetti, M. Moresco, M. Poncet, N. Auricchio, O. Mansutti, O. Marggraf, P. B. Lilje, P. Monaco, P. Schneider, P. Tallada-Cresp\\'i, R. Cledassou, R. Massey, R. Saglia, R. Toledo-Moreo, S. Andreon, S. Camera, S. Cavuoti, S. de la Torre, S. Dusini, S. Farrens, S. Ferriol, S. Kermiche, S. Ligori, S.M. Niemi, S. Paltani, S. Pires, S.V.H. Haugan, T. Kitching, T. Schrabback, T. Vassallo, V. Capobianco, V. Lindholm, V. Pettorino, W. Holmes, X. Dupac, Y. Copin, Y. Wang","submitted_at":"2022-05-24T07:22:33Z","abstract_excerpt":"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 estimator on a large number of mock catalogs, and evaluating their sample covariance. With large random catalog sizes (data-to-random objects ratio M>>1) the computational cost of the standard method is dominated by that of counting the data-random and random-random pairs, while the uncertainty of the estimate is dominated by that of data-data pairs. We present a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.11852","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.11852/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}