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We investigate the statistical distribution of source counts-in-cells in the second data release of the LOFAR Two-Metre Sky Survey (LoTSS-DR2) and we test a computationally cheap method based on the counts-in-cells to estimate the two-point…

Due to late time non-linearities, the location of the acoustic peak in the two-point galaxy correlation function is a redshift-dependent quantity, thus it cannot be simply employed as a cosmological standard ruler. This has motivated the…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 Stefano Anselmi , Pier-Stefano Corasaniti , Glenn D. Starkman , Ravi K. Sheth , Idit Zehavi

We use the halo model of clustering to compute two- and three-point correlation functions for weak lensing, and apply them in a new statistical technique to measure properties of massive halos. We present analytical results on the eight…

Astrophysics · Physics 2009-11-07 Masahiro Takada , Bhuvnesh Jain

We present detailed clustering analysis of a large K-band selected local galaxy sample, which is constructed from the 2MASS and the SDSS and consists of $82,486$ galaxies with $10 < K < 13.5$ and $0.01 < z < 0.1$. The two-point correlation…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Bin Ma , Kelai Meng , Jun Pan , Jiasheng Huang , Longlong Feng

A sampling algorithm is presented that generates spin glass configurations of the 2D Edwards-Anderson Ising spin glass at finite temperature, with probabilities proportional to their Boltzmann weights. Such an algorithm overcomes the slow…

Disordered Systems and Neural Networks · Physics 2009-10-30 Creighton K. Thomas , A. Alan Middleton

Doubly intractable models are encountered in a number of fields, e.g. social networks, ecology and epidemiology. Inference for such models requires the evaluation of a likelihood function, whose normalising factor depends on the model…

Methodology · Statistics 2025-08-25 Yu Yang , Matias Quiroz , Robert Kohn , Scott A. Sisson

The cumulant correlators, $C_{pq}$, are statistical quantities that generalise the better-known $S_p$ parameters; the former are obtained from the two-point probability distribution function of the density fluctuations while the latter…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Adrian L. Melott , Peter Coles

It is usual to rely on the quasi-likelihood methods for deriving statistical methods applied to clustered multinomial data with no underlying distribution. Even though extensive literature can be encountered for these kind of data sets,…

Methodology · Statistics 2015-10-21 Juana María Alonso , Nirian Martín , Leandro Pardo

One of the major goals of cosmological observations is to test theories of structure formation. The most straightforward way to carry out such tests is to compute the likelihood function L, the probability of getting the data given the…

Astrophysics · Physics 2007-05-23 Scott Dodelson , Lam Hui , Andrew Jaffe

We present a comparative study of the accuracy and precision of correlation function methods and full-field inference in cosmological data analysis. To do so, we examine a Bayesian hierarchical model that predicts log-normal fields and…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-07 Florent Leclercq , Alan Heavens

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…

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Davide Bianchi

We present the samples of galaxies and quasars used for DESI 2024 cosmological analyses, drawn from the DESI Data Release 1 (DR1). We describe the construction of large-scale structure (LSS) catalogs from these samples, which include…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-15 DESI Collaboration , A. G. Adame , J. Aguilar , S. Ahlen , S. Alam , D. M. Alexander , M. Alvarez , O. Alves , A. Anand , U. Andrade , E. Armengaud , S. Avila , A. Aviles , H. Awan , S. Bailey , C. Baltay , A. Bault , J. Behera , S. BenZvi , F. Beutler , D. Bianchi , C. Blake , R. Blum , S. Brieden , A. Brodzeller , D. Brooks , Z. Brown , E. Buckley-Geer , E. Burtin , R. Calderon , R. Canning , A. Carnero Rosell , R. Cereskaite , J. L. Cervantes-Cota , S. Chabanier , E. Chaussidon , J. Chaves-Montero , S. Chen , X. Chen , T. Claybaugh , S. Cole , A. Cuceu , T. M. Davis , K. Dawson , A. de la Macorra , A. de Mattia , N. Deiosso , R. Demina , A. Dey , B. Dey , Z. Ding , P. Doel , J. Edelstein , S. Eftekharzadeh , D. J. Eisenstein , A. Elliott , P. Fagrelius , K. Fanning , S. Ferraro , J. Ereza , N. Findlay , B. Flaugher , A. Font-Ribera , D. Forero-Sánchez , J. E. Forero-Romero , C. S. Frenk , C. Garcia-Quintero , E. Gaztañaga , H. Gil-Marín , S. Gontcho A Gontcho , A. X. Gonzalez-Morales , V. Gonzalez-Perez , C. Gordon , D. Green , D. Gruen , R. Gsponer , G. Gutierrez , J. Guy , B. Hadzhiyska , C. Hahn , M. M. S Hanif , H. K. Herrera-Alcantar , K. Honscheid , J. Hou , C. Howlett , D. Huterer , V. Iršič , M. Ishak , S. Juneau , N. G. Karaçaylı , R. Kehoe , S. Kent , D. Kirkby , F. -S. Kitaura , H. Kong , A. Kremin , A. Krolewski , Y. Lai , T. -W. Lan , M. Landriau , D. Lang , J. Lasker , J. M. Le Goff , L. Le Guillou , A. Leauthaud , M. E. Levi , T. S. Li , K. Lodha , C. Magneville , M. Manera , D. Margala , P. Martini , M. Maus , P. McDonald , L. Medina-Varela , A. Meisner , J. Mena-Fernández , R. Miquel , J. Moon , S. Moore , J. Moustakas , N. Mudur , E. Mueller , A. Muñoz-Gutiérrez , A. D. Myers , S. Nadathur , L. Napolitano , R. Neveux , J. A. Newman , N. M. Nguyen , J. Nie , G. Niz , H. E. Noriega , N. Padmanabhan , E. Paillas , N. Palanque-Delabrouille , J. Pan , S. Penmetsa , W. J. Percival , M. M. Pieri , M. Pinon , C. Poppett , A. Porredon , F. Prada , A. Pérez-Fernández , I. Pérez-Ràfols , D. Rabinowitz , A. Raichoor , C. Ramírez-Pérez , S. Ramirez-Solano , M. Rashkovetskyi , C. Ravoux , M. Rezaie , J. Rich , A. Rocher , C. Rockosi , N. A. Roe , A. Rosado-Marin , A. J. Ross , G. Rossi , R. Ruggeri , V. Ruhlmann-Kleider , L. Samushia , E. Sanchez , C. Saulder , E. F. Schlafly , D. Schlegel , D. Scholte , M. Schubnell , H. Seo , R. Sharples , J. Silber , A. Slosar , A. Smith , D. Sprayberry , T. Tan , G. Tarlé , S. Trusov , R. Vaisakh , D. Valcin , F. Valdes , M. Vargas-Magaña , L. Verde , M. Walther , B. Wang , M. S. Wang , B. A. Weaver , N. Weaverdyck , R. H. Wechsler , D. H. Weinberg , M. White , M. J. Wilson , J. Yu , Y. Yu , S. Yuan , C. Yèche , E. A. Zaborowski , P. Zarrouk , H. Zhang , C. Zhao , R. Zhao , R. Zhou , H. Zou

We investigate the quality of associations of astronomical sources from multi-wavelength observations using simulated detections that are realistic in terms of their astrometric accuracy, small-scale clustering properties and selection…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Sebastien Heinis , Tamas Budavari , Alexander S. Szalay

We present two analytical formulae for estimating the sensitivity -- namely, the gradient or Jacobian -- at given realizations of an arbitrary-dimensional random vector with respect to its distributional parameters. The first formula…

Machine Learning · Statistics 2025-08-14 Pi-Yueh Chuang , Ahmed Attia , Emil Constantinescu

Context. Whenever correlation functions are used for inference about cosmological parameters in the context of a Bayesian analysis, the likelihood function of correlation functions needs to be known. Usually, it is approximated as a…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-06 Philipp Wilking , Peter Schneider

In the near future a new generation of CCD based galaxy surveys will enable high precision determination of the N-point correlation functions. The resulting information will help to resolve the ambiguities associated with two-point…

Astrophysics · Physics 2009-10-30 Istvan Szapudi

With origins in game theory, probabilistic values like Shapley values, Banzhaf values, and semi-values have emerged as a central tool in explainable AI. They are used for feature attribution, data attribution, data valuation, and more.…

Machine Learning · Computer Science 2026-01-14 R. Teal Witter , Yurong Liu , Christopher Musco

We present a new algorithm to generate a random (unclustered) version of an magnitude limited observational galaxy redshift catalogue. It takes into account both galaxy evolution and the perturbing effects of large scale structure. The key…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Shaun Cole

We study the significance of non-Gaussianity in the likelihood of weak lensing shear two-point correlation functions, detecting significantly non-zero skewness and kurtosis in one-dimensional marginal distributions of shear two-point…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-11 Chien-Hao Lin , Joachim Harnois-Déraps , Tim Eifler , Taylor Pospisil , Rachel Mandelbaum , Ann B. Lee , Sukhdeep Singh