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The 21-cm signal holds the key to understanding the first structure formation during cosmic dawn. Theoretical progress over the last decade has focused on simulations of this signal, given the nonlinear and nonlocal relation between initial…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-06 Julian B. Muñoz

In this paper new two-dimensional goodness of fit tests are proposed. They are of supremum-type and are based on different types of characterizations. For the first time a characterization based on independence of two statistics is used for…

Methodology · Statistics 2023-05-30 Bojana Milošević , Marko Obradović

Simulation-based inference (SBI) has become an important tool in cosmology for extracting additional information from observational data using simulations. However, all cosmological simulations are approximations of the actual universe, and…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 Sébastien Pierre , Bruno Régaldo-Saint Blancard , ChangHoon Hahn , Michael Eickenberg

The coefficient of determination, known as $R^2$, is commonly used as a goodness-of-fit criterion for fitting linear models. $R^2$ is somewhat controversial when fitting nonlinear models, although it may be generalised on a case-by-case…

Methodology · Statistics 2021-12-23 Mark Levene , Aleksejus Kononovicius

The large-scale structure (LSS) of the Universe is an important probe for deviations from the canonical cosmological constant $\Lambda$ and cold dark matter ($\Lambda$CDM) model. A statistically significant detection of any deviations would…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 I. Ocampo , D. Sapone , S. Nesseris , G. Alestas , J. García-Bellido , Z. Sakr , C. J. A. P. Martins , J. P. Mimoso , A. Carvalho , A. Da Silva , A. Blanchard , S. Casas , S. Camera , M. Martinelli , V. Pettorino , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , A. Balestra , S. Bardelli , P. Battaglia , F. Bernardeau , A. Biviano , E. Branchini , M. Brescia , G. Cañas-Herrera , 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 , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , N. Fourmanoit , M. Frailis , E. Franceschi , 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 , E. Keihänen , S. Kermiche , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , C. Rosset , R. Saglia , B. Sartoris , T. Schrabback , A. Secroun , E. Sefusatti , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , E. Zucca , M. Ballardini , C. Burigana , L. Gabarra , A. Pezzotta , V. Scottez , M. Viel

In the coming decade, low-frequency radio arrays will begin to probe the epoch of reionization via the redshifted 21-cm hydrogen line. Successful interpretation of these observations will require effective statistical techniques for…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Vera Gluscevic , Rennan Barkana

Wide-field slitless spectroscopic galaxy surveys, such as the one performed by the upcoming Chinese Space Station Survey Telescope (CSST), are crucial for precision cosmology but present formidable data analysis challenges. Because spectra…

Instrumentation and Methods for Astrophysics · Physics 2026-05-19 Xingchen Zhou , Yan Gong , Xin Zhang , Xian-Min Meng , Haitao Miao , Run Wen , Nan Li

The measurement of the large scale distribution of neutral hydrogen in the late Universe, obtained with radio telescopes through the hydrogen 21cm line emission, has the potential to become a key cosmological probe in the upcoming years. We…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-15 Maria Berti , Marta Spinelli , Matteo Viel

The 21-cm signal from the Epoch of Reionization (EoR) is a powerful probe of the evolution of the Universe. However, accurate measurements of the EoR signal from radio interferometric observations are sensitive to efficient foreground…

Instrumentation and Methods for Astrophysics · Physics 2025-09-23 Madhurima Choudhury , Jonathan C. Pober

Accurate gravity field models are essential for safe proximity operations around small bodies. State-of-the-art techniques use spherical harmonics or high-fidelity polyhedron shape models. Unfortunately, these techniques can become…

Robotics · Computer Science 2021-12-21 Daniel Neamati , Yashwanth Kumar Nakka , Soon-Jo Chung

Scientific research and engineering practice often require the modeling and decomposition of nonlinear systems. The Dynamic Mode Decomposition (DMD) is a novel Koopman-based technique that effectively dissects high-dimensional nonlinear…

The sky-averaged cosmological 21 cm signal can improve our understanding of the evolution of the early Universe from the Dark Age to the end of the Epoch of Reionization. Although the EDGES experiment reported an absorption profile of this…

Instrumentation and Methods for Astrophysics · Physics 2023-12-05 O. A. Restrepo , F. I. Lucero , G. Chaparro , R. Rodríguez , F. Pizarro , R. Bustos , M. Díaz , F. P. Mena

The objective of goodness-of-fit testing is to assess whether a dataset of observations is likely to have been drawn from a candidate probability distribution. This paper presents a rank-based family of goodness-of-fit tests that is…

Statistics Theory · Mathematics 2019-04-18 Feras A. Saad , Cameron E. Freer , Nathanael L. Ackerman , Vikash K. Mansinghka

Detecting the cosmic 21-cm signal during the Epoch of Reionisation and Cosmic Dawn will reveal insights into the properties of the first galaxies and advance cosmological parameter estimation. Until recently, the primary focus for…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 Bradley Greig , Yuan-Sen Ting , Alexander A. Kaurov

21 cm cosmology is a promising new probe of the evolution of visible matter in our universe, especially during the poorly-constrained Cosmic Dawn and Epoch of Reionization. However, in order to separate the 21 cm signal from bright…

The goodness-of-fit (GoF) of the Cosmicflows-2 (CF2) database of peculiar velocities with the LCDM standard model of cosmology is presented. Standard application of the Chi^2 statistics of the full database, of its 4,838 data points, is…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-07 Yehuda Hoffman , Adi Nusser , Helene M. Courtois , R. Brent Tully

Fitting Galactic structure models to star counts only provides useful information about the Galaxy in some directions. In this paper, we investigate the use of $\chi^2$ goodness-of-fit tests to discriminate between degenerate Galactic…

Astrophysics · Physics 2009-10-31 Hiranya V. Peiris

Line-intensity mapping of the 21cm line is a powerful probe of large scale structure at z<6, tracing large-scale structure via neutral hydrogen content that is found within galaxies. In principle, it enables cost-efficient surveys of the…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Adrian Liu , Simon Foreman , Hamsa Padmanabhan , H. Cynthia Chiang , Seth Siegel , Dallas Wulf , Jonathan Sievers , Matt Dobbs , Keith Vanderlinde

We investigate the prospects for constraining alternative theories of gravity with a typical near-term low-budget 21 cm intensity mapping experiment. We derive the 21 cm brightness temperature perturbation consistently in linear theory…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-26 Alex Hall , Camille Bonvin , Anthony Challinor