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We build a field level emulator for cosmic structure formation that is accurate in the nonlinear regime. Our emulator consists of two convolutional neural networks trained to output the nonlinear displacements and velocities of N-body…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Drew Jamieson , Yin Li , Renan Alves de Oliveira , Francisco Villaescusa-Navarro , Shirley Ho , David N. Spergel

Cosmologists aim to model the evolution of initially low amplitude Gaussian density fluctuations into the highly non-linear "cosmic web" of galaxies and clusters. They aim to compare simulations of this structure formation process with…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Renan Alves de Oliveira , Yin Li , Francisco Villaescusa-Navarro , Shirley Ho , David N. Spergel

We train convolutional neural networks to correct the output of fast and approximate N-body simulations at the field level. Our model, Neural Enhanced COLA --NECOLA--, takes as input a snapshot generated by the computationally efficient…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-18 Neerav Kaushal , Francisco Villaescusa-Navarro , Elena Giusarma , Yin Li , Conner Hawry , Mauricio Reyes

Particle-mesh simulations trade small-scale accuracy for speed compared to traditional, computationally expensive N-body codes in cosmological simulations. In this work, we show how a data-driven model could be used to learn an effective…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-01 Nicolas Payot , Pablo Lemos , Laurence Perreault-Levasseur , Carolina Cuesta-Lazaro , Chirag Modi , Yashar Hezaveh

Understanding the physics of large cosmological surveys down to small (nonlinear) scales will significantly improve our knowledge of the Universe. Large N-body simulations have been built to obtain predictions in the non-linear regime.…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Chang Chen , Yin Li , Francisco Villaescusa-Navarro , Shirley Ho , Anthony Pullen

The set-up of the initial conditions in cosmological N-body simulations is usually implemented by rescaling the desired low-redshift linear power spectrum to the required starting redshift consistently with the Newtonian evolution of the…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Matteo Zennaro , Julien Bel , Francisco Villaescusa-Navarro , Carmelita Carbone , Emiliano Sefusatti , Luigi Guzzo

Determining the different conformational states of a protein and the transition paths between them is key to fully understanding the relationship between biomolecular structure and function. This can be accomplished by sampling protein…

Biological Physics · Physics 2021-03-24 Venkata K. Ramaswamy , Chris G. Willcocks , Matteo T. Degiacomi

Finding the initial conditions that led to the current state of the universe is challenging because it involves searching over an intractable input space of initial conditions, along with modeling their evolution via tools such as N-body…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-15 Vaibhav Jindal , Albert Liang , Aarti Singh , Shirley Ho , Drew Jamieson

We describe cosmological simulation techniques and their application to studies of cosmic structure formation, with particular attention to recent hydrodynamic simulations of structure in the high redshift universe. Collisionless N-body…

Astrophysics · Physics 2008-02-03 David H. Weinberg , Neal Katz , Lars Hernquist

The gravitationally-driven evolution of cold dark matter dominates the formation of structure in the Universe over a wide range of length scales. While the longest scales can be treated by perturbation theory, a fully quantitative…

Astrophysics · Physics 2009-11-10 Katrin Heitmann , Paul M. Ricker , Michael S. Warren , Salman Habib

Upcoming galaxy surveys will bring a wealth of information about the clustering of matter, but modeling small-scale structure beyond $\Lambda$CDM remains computationally challenging. While accurate N-body emulators exist to model the matter…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 João Rebouças , Victoria Lloyd , Jonathan Gordon , Guilherme Brando , Vivian Miranda

We apply and test a field-level emulator for non-linear cosmic structure formation in a volume matching next-generation surveys. Inferring the cosmological parameters and initial conditions from which the particular galaxy distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-20 Matthew T. Scoggins , Matthew Ho , Francisco Villaescusa-Navarro , Drew Jamieson , Ludvig Doeser , Greg L. Bryan

One of the main challenges in modeling massive stars to the onset of core collapse is the computational bottleneck of nucleosynthesis during advanced burning stages. The number of isotopes formed requires solving a large set of…

Future large-scale structure surveys of the Universe will aim to constrain the cosmological model and the true nature of dark energy with unprecedented accuracy. In order for these surveys to achieve their designed goals, they will require…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Robert E. Smith , Darren S. Reed , Doug Potter , Laura Marian , Martin Crocce , Ben Moore

We train a machine learning algorithm to learn cosmological structure formation from N-body simulations. The algorithm infers the relationship between the initial conditions and the final dark matter haloes, without the need to introduce…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-02 Luisa Lucie-Smith , Hiranya V. Peiris , Andrew Pontzen , Michelle Lochner

Neural scaling laws, which in some domains can predict the performance of large neural networks as a function of model, data, and compute scale, are the cornerstone of building foundation models in Natural Language Processing and Computer…

Machine Learning · Computer Science 2026-03-27 Shashank Subramanian , Alexander Kiefer , Arnur Nigmetov , Amir Gholami , Dmitriy Morozov , Michael W. Mahoney

Neural networks, a central tool in machine learning, have demonstrated remarkable, high fidelity performance on image recognition and classification tasks. These successes evince an ability to accurately represent high dimensional…

Machine Learning · Statistics 2023-02-08 Grant M. Rotskoff , Eric Vanden-Eijnden

We implement an adaptation of the COLA approach, a hybrid scheme that combines Lagrangian perturbation theory with an N-body approach, to model non-linear collapse in chameleon and symmetron modified gravity models. Gravitational screening…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-30 Georgios Valogiannis , Rachel Bean

Cosmological N-Body simulations have become an essential tool for studying formation of large scale structure. These simulations are computationally challenging even though the available computing power gets better every year. A number of…

Astrophysics · Physics 2007-05-23 J. S. Bagla

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
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