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These notes are very much work-in-progress and simply intended to showcase, in various degrees of details (and rigour), some of the cosmology calculations that class_sz can do. We describe the class_sz code in C, Python and Jax. Based on…

The large-scale structure in cosmology is highly non-Gaussian at late times and small length scales, making it difficult to describe analytically. Parameter inference, data reconstruction, and data generation tasks in cosmology are greatly…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-13 Adam Rouhiainen

We present Kosmulator, a modular and vectorised Python framework designed to accelerate the statistical testing of cosmological models. As the theoretical landscape expands beyond standard $\Lambda$CDM, implementing new expansion histories…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-10 Renier T. Hough , Robert Rugg , Shambel Sahlu , Amare Abebe

Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-02 Luis E. Padilla , Luis O. Tellez , Luis A. Escamilla , J. Alberto Vazquez

We use the emulation framework CosmoPower to construct and publicly release neural network emulators of cosmological observables, including the Cosmic Microwave Background (CMB) temperature and polarization power spectra, matter power…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-06 Boris Bolliet , Alessio Spurio Mancini , J. Colin Hill , Mathew Madhavacheril , Hidde T. Jense , Erminia Calabrese , Jo Dunkley

We present a numerical code to simulate maps of Galactic emission in intensity and polarization at microwave frequencies, aiding in the design of Cosmic Microwave Background experiments. This Python code builds on existing efforts to…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-21 Ben Thorne , Jo Dunkley , David Alonso , Sigurd Naess

Dark matter cannot be observed directly, but its weak gravitational lensing slightly distorts the apparent shapes of background galaxies, making weak lensing one of the most promising probes of cosmology. Several observational studies have…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-18 Dezső Ribli , Bálint Ármin Pataki , István Csabai

Ground and space-based sky surveys enable powerful cosmological probes based on measurements of galaxy properties and the distribution of galaxies in the Universe. These probes include weak lensing, baryon acoustic oscillations, abundance…

The advent of large data-set in cosmology has meant that in the past 10 or 20 years our knowledge and understanding of the Universe has changed not only quantitatively but also, and most importantly, qualitatively. Cosmologists rely on data…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Licia Verde

The standard model of cosmology has provided a good phenomenological description of a wide range of observations both at astrophysical and cosmological scales for several decades. This concordance model is constructed by a universal…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Eleonora Di Valentino , Jackson Levi Said , Adam Riess , Agnieszka Pollo , Vivian Poulin , Adrià Gómez-Valent , Amanda Weltman , Antonella Palmese , Caroline D. Huang , Carsten van de Bruck , Chandra Shekhar Saraf , Cheng-Yu Kuo , Cora Uhlemann , Daniela Grandón , Dante Paz , Dominique Eckert , Elsa M. Teixeira , Emmanuel N. Saridakis , Eoin Ó Colgáin , Florian Beutler , Florian Niedermann , Francesco Bajardi , Gabriela Barenboim , Giulia Gubitosi , Ilaria Musella , Indranil Banik , Istvan Szapudi , Jack Singal , Jaume Haro Cases , Jens Chluba , Jesús Torrado , Jurgen Mifsud , Karsten Jedamzik , Khaled Said , Konstantinos Dialektopoulos , Laura Herold , Leandros Perivolaropoulos , Lei Zu , Lluís Galbany , Louise Breuval , Luca Visinelli , Luis A. Escamilla , Luis A. Anchordoqui , M. M. Sheikh-Jabbari , Margherita Lembo , Maria Giovanna Dainotti , Maria Vincenzi , Marika Asgari , Martina Gerbino , Matteo Forconi , Michele Cantiello , Michele Moresco , Micol Benetti , Nils Schöneberg , Özgür Akarsu , Rafael C. Nunes , Reginald Christian Bernardo , Ricardo Chávez , Richard I. Anderson , Richard Watkins , Salvatore Capozziello , Siyang Li , Sunny Vagnozzi , Supriya Pan , Tommaso Treu , Vid Irsic , Will Handley , William Giarè , Yukei Murakami , Adèle Poudou , Alan Heavens , Alan Kogut , Alba Domi , Aleksander Łukasz Lenart , Alessandro Melchiorri , Alessandro Vadalà , Alexandra Amon , Alexander Bonilla , Alexander Reeves , Alexander Zhuk , Alfio Bonanno , Ali Övgün , Alice Pisani , Alireza Talebian , Amare Abebe , Amin Aboubrahim , Ana Luisa González Morán , András Kovács , Andreas Papatriantafyllou , Andrew R. Liddle , Andreas Lymperis , Andronikos Paliathanasis , Andrzej Borowiec , Anil Kumar Yadav , Anita Yadav , Anjan Ananda Sen , Anjitha John William Mini Latha , Anne Christine Davis , Anowar J. Shajib , Anthony Walters , Anto Idicherian Lonappan , Anton Chudaykin , Antonio Capodagli , Antonio da Silva , Antonio De Felice , Antonio Racioppi , Araceli Soler Oficial , Ariadna Montiel , Arianna Favale , Armando Bernui , Arrianne Crystal Velasco , Asta Heinesen , Athanasios Bakopoulos , Athanasios Chatzistavrakidis , Bahman Khanpour , Bangalore S. Sathyaprakash , Bartek Zgirski , Benjamin L'Huillier , Benoit Famaey , Bhuvnesh Jain , Biesiada Marek , Bing Zhang , Biswajit Karmakar , Branko Dragovich , Brooks Thomas , Carlos Correa , Carlos G. 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Alberto Vázquez , Jacobo Asorey , Janusz Gluza , Javier Rubio , Jenny G. Sorce , Jenny Wagner , Jeremy Sakstein , Jessica Santiago , Jim Braatz , Joan Solà Peracaula , John Blakeslee , John Webb , Jose A. R. Cembranos , José Pedro Mimoso , Joseph Jensen , Juan García-Bellido , Judit Prat , Kathleen Sammut , Kay Lehnert , Keith R. Dienes , Kishan Deka , Konrad Kuijken , Krishna Naidoo , László Árpád Gergely , Laur Järv , Laura Mersini-Houghton , Leila L. Graef , Léo Vacher , Levon Pogosian , Lilia Anguelova , Lindita Hamolli , Lu Yin , Luca Caloni , Luca Izzo , Lucas Macri , Luis E. Padilla , Luz Ángela García , Maciej Bilicki , Mahdi Najafi , Manolis Plionis , Manuel Gonzalez-Espinoza , Manuel Hohmann , Marcel A. van der Westhuizen , Marcella Marconi , Marcin Postolak , Marco de Cesare , Marco Regis , Marek Biesiada , Maret Einasto , Margus Saal , Maria Caruana , Maria Petronikolou , Mariam Bouhmadi-López , Mariana Melo , Mariaveronica De Angelis , Marie-Noëlle Célérier , Marina Cortês , Mark Reid , Markus Michael Rau , Martin S. Sloth , Martti Raidal , Masahiro Takada , Masoume Reyhani , Massimiliano Romanello , Massimo Marengo , Mathias Garny , Matías Leizerovich , Matteo Martinelli , Matteo Tagliazucchi , Mehmet Demirci , Miguel A. S. Pinto , Miguel A. Sabogal , Miguel A. García-Aspeitia , Milan Milošević , Mina Ghodsi , Mustapha Ishak , Nelson J. Nunes , Nick Samaras , Nico Hamaus , Nico Schuster , Nicola Borghi , Nicola Deiosso , Nicola Tamanini , Nicolao Fornengo , Nihan Katırcı , Nikolaos E. Mavromatos , Nicholas Petropoulos , Nikolina Šarčević , Nils A. Nilsson , Noemi Frusciante , Octavian Postavaru , Oem Trivedi , Oleksii Sokoliuk , Olga Mena , Paloma Morilla , Paolo Campeti , Paolo Salucci , Paula Boubel , Paweł Bielewicz , Pekka Heinämäki , Petar Suman , Petros Asimakis , Pierros Ntelis , Pilar Ruiz-Lapuente , Pran Nath , Predrag Jovanović , Purba Mukherjee , Radosław Wojtak , Rafaela Gsponer , Rafid H. Dejrah , Rahul Shah , Rasmi Hajjar , Rebecca Briffa , Rebecca Habas , Reggie C. Pantig , Renier Mendoza , Riccardo Della Monica , Richard Stiskalek , Rishav Roshan , Rita B. Neves , Roberto Molinaro , Roberto Terlevich , Rocco D'Agostino , Rodrigo Sandoval-Orozco , Ronaldo C. Batista , Ruchika Kaushik , Ruth Lazkoz , Saeed Rastgoo , Sahar Mohammadi , Salvatore Samuele Sirletti , Sandeep Haridasu , Sanjay Mandal , Saurya Das , Sebastian Bahamonde , Sebastian Grandis , Sebastian Trojanowski , Sergei D. Odintsov , Sergij Mazurenko , Shahab Joudaki , Sherry H. Suyu , Shouvik Roy Choudhury , Shruti Bhatporia , Shun-Sheng Li , Simeon Bird , Simon Birrer , Simone Paradiso , Simony Santos da Costa , Sofia Contarini , Sophie Henrot-Versillé , Spyros Basilakos , Stefano Casertano , Stefano Gariazzo , Stylianos A. Tsilioukas , Surajit Kalita , Suresh Kumar , Susana J. Landau , Sveva Castello , Swayamtrupta Panda , Tanja Petrushevska , Thanasis Karakasis , Thejs Brinckmann , Tiago B. Gonçalves , Tiziano Schiavone , Tom Abel , Tomi Koivisto , Torsten Bringmann , Umut Demirbozan , Utkarsh Kumar , Valerio Marra , Maurice H. P. M. van Putten , Vasileios Kalaitzidis , Vasiliki A. Mitsou , Vasilios Zarikas , Vedad Pasic , Venus Keus , Verónica Motta , Vesna Borka Jovanović , Víctor H. 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Courtois , Hooman Moradpour , Igor de Oliveira Cardoso Pedreira , Ilí dio Lopes , István Csabai , James W. Rohlf , J. Bogdanoska , Javier de Cruz Pérez , Joan Bachs-Esteban , Joseph Sultana , Julien Lesgourgues , Jun-Qian Jiang , Karem Peñaló Castillo , Kimet Jusufi , Lavinia Heisenberg , Laxmipriya Pati , Léon V. E. Koopmans , Lokesh kumar Duchaniya , Lucas Lombriser , Mahdieh Gol Bashmani Moghadam , María Pérez Garrote , Mariano Domínguez , Marine Samsonyan , Mark Pace , Martin Krššák , Masroor C. Pookkillath , Matteo Peronaci , Matteo Piani , Matthildi Raftogianni , Meet J. Vyas , Melina Michalopoulou , Merab Gogberashvili , Michael Klasen , Michele Cicoli , Michele Moresco , Miguel Quartin , Miguel Zumalacárregui , Milan S. Dimitrijević , Milos Dordevic , Mindaugas Karčiauskas , Morgan Le Delliou , Nastassia Grimm , Nicolás Augusto Kozameh , Nicoleta Voicu , Nicolina Pop , Nikos Chatzifotis , Oliver Fabio Piattella , Paula Boubel , Pedro da Silveira Ferreira , Péter Raffai , Peter Schupp , Pierros Ntelis , Pradyumn Kumar Sahoo , Roberto V. Maluf , Ruth Durrer , S. A. Kadam , Sabino Matarrese , Samuel Brieden , Santiago González-Gaitán , Santosh V. Lohakare , Scott Watson , Shao-Jiang Wang , Simão Marques Nunes , Soumya Chakrabarti , Suvodip Mukherjee , Tajron Jurić , Tessa Baker , Theodoros Nakas , Tiago Barreiro , Upala Mukhopadhyay , Veljko Vujčić , Violetta Sagun , Vladimir A. Srećković , Wangzheng Zhang , Yo Toda , Yun-Song Piao , Zahra Davari

Cosmological probes pose an inverse problem where the measurement result is obtained through observations, and the objective is to infer values of model parameters which characterize the underlying physical system -- our Universe. Modern…

Instrumentation and Methods for Astrophysics · Physics 2019-05-21 Timur Takhtaganov , Zarija Lukic , Juliane Mueller , Dmitriy Morozov

We explore strategies to extract cosmological constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing, galaxy clustering, cluster number counts and cluster weak lensing. We utilize the CosmoLike software to simulate results…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-26 Elisabeth Krause , Tim Eifler

We demonstrate the potential of Deep Learning methods for measurements of cosmological parameters from density fields, focusing on the extraction of non-Gaussian information. We consider weak lensing mass maps as our dataset. We aim for our…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Jorit Schmelzle , Aurelien Lucchi , Tomasz Kacprzak , Adam Amara , Raphael Sgier , Alexandre Réfrégier , Thomas Hofmann

Precision cosmology with gravitational wave (GW) sources requires a deeper understanding of the interplay between GW source population and cosmological parameters governing the dynamics of the Universe. With the swift increase in GW…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-26 Christos Karathanasis , Benoit Revenu , Suvodip Mukherjee , Federico Stachurski

Cosmological parameter estimation is entering a new era. Large collaborations need to coordinate high-stakes analyses using multiple methods; furthermore such analyses have grown in complexity due to sophisticated models of cosmology and…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Joe Zuntz , Marc Paterno , Elise Jennings , Douglas Rudd , Alessandro Manzotti , Scott Dodelson , Sarah Bridle , Saba Sehrish , James Kowalkowski

Automated searches for strong gravitational lensing in optical imaging survey datasets often employ machine learning and deep learning approaches. These techniques require more example systems to train the algorithms than have presently…

Instrumentation and Methods for Astrophysics · Physics 2021-02-08 Robert Morgan , Brian Nord , Simon Birrer , Joshua Yao-Yu Lin , Jason Poh

We introduce a Markov Chain Monte Carlo simulation and data analysis package for the cosmological computation package Cmbeasy. We have taken special care in implementing an adaptive step algorithm for the Markov Chain Monte Carlo in order…

Astrophysics · Physics 2007-05-23 Christian M. Mueller

How many simulations do we need to train machine learning methods to extract information available from summary statistics of the cosmological density field? Neural methods have shown the potential to extract non-linear information…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-26 Anirban Bairagi , Benjamin Wandelt , Francisco Villaescusa-Navarro

$\textit{Pymc-learn}$ is a Python package providing a variety of state-of-the-art probabilistic models for supervised and unsupervised machine learning. It is inspired by $\textit{scikit-learn}$ and focuses on bringing probabilistic machine…

Machine Learning · Statistics 2018-11-05 Daniel Emaasit