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We present a simple method of generating approximate synthetic halo catalogues: HALOGEN. This method uses a combination of $2^{nd}$-order Lagrangian Perturbation Theory (2LPT) in order to generate the large-scale matter distribution,…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-08 Santiago Avila , Steven G. Murray , Alexander Knebe , Chris Power , Aaron S. G. Robotham , Juan Garcia-Bellido

Symbolic regression corresponds to an ensemble of techniques that allow to uncover an analytical equation from data. Through a closed form formula, these techniques provide great advantages such as potential scientific discovery of new…

Machine Learning · Computer Science 2021-10-27 Ismail Alaoui Abdellaoui , Siamak Mehrkanoon

We study the constraint on $f(R)$ gravity that can be obtained by photometric primary probes of the Euclid mission. Our focus is the dependence of the constraint on the theoretical modelling of the nonlinear matter power spectrum. In the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-18 Euclid Collaboration , K. Koyama , S. Pamuk , S. Casas , B. Bose , P. Carrilho , I. Sáez-Casares , L. Atayde , M. Cataneo , B. Fiorini , C. Giocoli , A. M. C. Le Brun , F. Pace , A. Pourtsidou , Y. Rasera , Z. Sakr , H. -A. Winther , E. Altamura , J. Adamek , M. Baldi , M. -A. Breton , G. Rácz , F. Vernizzi , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , S. Bardelli , F. Bernardeau , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , J. Carretero , 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 , A. Da Silva , H. Degaudenzi , G. De Lucia , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , B. Gillis , P. Gómez-Alvarez , A. Grazian , F. Grupp , L. Guzzo , M. Hailey , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , 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. A. Popa , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , J. -C. Salvignol , A. G. Sánchez , D. Sapone , B. Sartoris , M. Schirmer , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , A. Biviano , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , G. Fabbian , R. Farinelli , F. Finelli , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , M. Ballardini , D. Bertacca , A. Blanchard , L. Blot , H. Böhringer , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , G. Cañas-Herrera , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , S. Contarini , A. R. Cooray , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , H. Dole , S. Escoffier , M. Ezziati , A. G. Ferrari , P. G. Ferreira , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , A. Hall , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , J. Le Graet , L. Legrand , J. Lesgourgues , T. I. Liaudat , S. J. Liu , A. Loureiro , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , A. Montoro , A. Mora , C. Moretti , G. Morgante , C. Murray , S. Nadathur , Nicholas A. Walton , L. Pagano , L. Patrizii , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , M. Sahlén , E. Sarpa , A. Schneider , M. Sereno , A. Silvestri , A. Spurio Mancini , J. Stadel , K. Tanidis , C. Tao , N. Tessore , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , J. Valiviita , D. Vergani , G. Verza , P. Vielzeuf

We analytically model the non-linear effects induced by massive neutrinos on the total matter power spectrum using the halo model reaction framework of Cataneo et al. 2019. In this approach the halo model is used to determine the relative…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-21 Matteo Cataneo , J. D. Emberson , Derek Inman , Joachim Harnois-Deraps , Catherine Heymans

The detection of the 21-cm signal at $z\gtrsim6$ will reveal insights into the properties of the first galaxies responsible for driving reionisation. To extract this information, we perform parameter inference which requires embedding 3D…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Bradley Greig , David Prelogović , Jordan Mirocha , Yuxiang Qin , Yuan-Sen Ting , Andrei Mesinger

We study harmonic map regression, a nonparametric estimator for manifold-valued responses, that penalizes the empirical Fr\'echet risk by the Dirichlet energy. By connecting penalized regression to the theory of harmonic maps, the estimator…

Statistics Theory · Mathematics 2026-04-13 Xiaoyu Chen

Nonlinear effects are crucial in order to compute the cosmological matter power spectrum to the accuracy required by future generation surveys. Here, a new approach is presented, in which the power spectrum, the bispectrum and higher order…

Astrophysics · Physics 2009-11-13 Massimo Pietroni

The Euclid mission seeks to understand the Universe expansion history and the nature of dark energy, which requires a very accurate estimate of redshift distribution. Achieving this accuracy relies on reference samples with spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Y. Kang , S. Paltani , W. G. Hartley , M. Bolzonella , A. H. Wright , F. Dubath , F. J. Castander , D. C. Masters , W. d'Assignies , H. Hildebrandt , O. Ilbert , M. Manera , W. Roster , S. A. Stanford , N. Aghanim , B. Altieri , S. Andreon , N. Auricchio , H. Aussel , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , A. Costille , F. Courbin , H. M. Courtois , M. Cropper , H. Degaudenzi , G. De Lucia , H. Dole , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , N. Fourmanoit , 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 , H. Hoekstra , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , R. Laureijs , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , M. Martinelli , 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 , R. Nakajima , C. Neissner , S. -M. Niemi , C. Padilla , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , P. Simon , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , J. Valiviita , T. Vassallo , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , I. A. Zinchenko , E. Zucca , J. García-Bellido , J. Martín-Fleitas , V. Scottez , M. Viel , R. Teyssier

We present a coherent, re-usable python framework which further builds on the cosmological emulator code CosmoPower. In the current era of high-precision cosmology, we require high-accuracy calculations of cosmological observables with…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 H. T. Jense , I. Harrison , E. Calabrese , A. Spurio Mancini , B. Bolliet , J. Dunkley , J. C. Hill

The growth of large-scale structure, together with the geometrical information of cosmic expansion history and cosmological distances, can be used to obtain constraints on the spatial curvature of the universe that probes the early universe…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-23 Ryo Terasawa , Ryuichi Takahashi , Takahiro Nishimichi , Masahiro Takada

Symbolic regression, a task discovering the formula best fitting the given data, is typically based on the heuristical search. These methods usually update candidate formulas to obtain new ones with lower prediction errors iteratively.…

Machine Learning · Computer Science 2025-09-11 Zihan Yu , Jingtao Ding , Yong Li , Depeng Jin

We propose a lightweight deep convolutional neural network (lCNN) to estimate cosmological parameters from simulated three-dimensional dark matter (DM) halo distributions and associated statistics. The training dataset comprises 2000…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-20 Zhiwei Min , Xu Xiao , Jiacheng Ding , Liang Xiao , Jie Jiang , Donglin Wu , Qiufan Lin , Yang Wang , Shuai Liu , Zhixin Chen , Xiangru Li , Jinqu Zhang , Le Zhang , Xiao-Dong Li

We present a method for accelerating the calculation of CMB power spectra, matter power spectra and likelihood functions for use in cosmological parameter estimation. The algorithm, called CosmoNet, is based on training a multilayer…

Astrophysics · Physics 2008-11-26 T. Auld , M. Bridges , M. P. Hobson , S. F. Gull

$ $Future surveys could obtain tighter constraints on the cosmological parameters with the galaxy power spectrum than with the Cosmic Microwave Background. However, the inclusion of multiple overlapping tracers, redshift bins, and more…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-24 Yan Lai , Cullan Howlett , Tamara M. Davis

We test third-order standard perturbation theory (SPT) as an approximation to non-linear cosmological structure formation. A novel approach is used to numerically calculate the three-dimensional dark matter density field using SPT from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Nina Roth , Cristiano Porciani

The use of Eulerian 'standard perturbation theory' to describe mass assembly in the early universe has traditionally been limited to modes with k $\lesssim$ 0.1 h/Mpc at z = 0. At larger k the SPT power spectrum deviates from measurements…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-28 Lucía Fonseca de la Bella , Donough Regan , David Seery , Shaun Hotchkiss

Understanding and predicting the activity of oxide perovskite catalysts for the oxygen evolution reaction (OER) requires descriptors that are both accurate and physically interpretable. While symbolic regression (SR) offers a path to…

Data Analysis, Statistics and Probability · Physics 2025-07-17 Yeming Xian , Xiaoming Wang , Yanfa Yan

Upcoming Large Scale Structure surveys aim to achieve an unprecedented level of precision in measuring galaxy clustering. However, accurately modeling these statistics may require theoretical templates that go beyond second-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 M. Icaza-Lizaola , Yong-Seon Song , Minji Oh , Yi Zheng

To effectively exploit large-scale structure surveys, we depend on accurate and reliable predictions of non-linear cosmological structure formation. Tools for efficient and comprehensive computational modelling are therefore essential to…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-07 Benjamin Bose , Matteo Cataneo , Tilman Tröster , Qianli Xia , Catherine Heymans , Lucas Lombriser

We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations. Our model retains the common assumption of a multivariate…

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