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We investigate higher order symplectic integration strategies within Bayesian cosmic density field reconstruction methods. In particular, we study the fourth-order discretisation of Hamiltonian equations of motion (EoM). This is achieved by…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Mónica Hernández-Sánchez , Francisco-Shu Kitaura , Metin Ata , Claudio Dalla Vecchia

We develop a field-theoretic description of large-scale structure formation by taking the non-relativistic limit of a canonically transformed, real scalar field which is minimally coupled to scalar gravitational perturbations in…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Pavel Friedrich , Tomislav Prokopec

Lagrangian reconstruction of large-scale peculiar velocity fields can be strongly affected by observational biases. We develop a thorough analysis of these systematic effects by relying on specially selected mock catalogues. For the purpose…

Astrophysics · Physics 2009-11-13 G. Lavaux , R. Mohayaee , S. Colombi , R. B. Tully , F. Bernardeau , J. Silk

Bayesian imaging inverse problems in astrophysics and cosmology remain challenging, particularly in low-data regimes, due to complex forward operators and the frequent lack of well-motivated priors for non-Gaussian signals. In this paper,…

Instrumentation and Methods for Astrophysics · Physics 2026-02-06 Sébastien Pierre , Erwan Allys , Pablo Richard , Roman Soletskyi , Alexandros Tsouros

A method we developed recently for the reconstruction of the initial density field in the nearby Universe is applied to the Sloan Digital Sky Survey Data Release 7. A high-resolution N-body constrained simulation (CS) of the reconstructed…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 Huiyuan Wang , H. J. Mo , Xiaohu Yang , Youcai Zhang , JingJing Shi , Y. P. Jing , Chengze Liu , Shijie Li , Xi Kang , Yang Gao

Atmospheric inverse modelling is a method for reconstructing historical fluxes of green-house gas between land and atmosphere, using observed atmospheric concentrations and an atmospheric tracer transport model. The small number of observed…

Applications · Statistics 2019-07-08 Unn Dahlen , Johan Linström , Marko Scholze

We discuss a new algorithm to generate multi-scale initial conditions with multiple levels of refinements for cosmological "zoom-in" simulations. The method uses an adaptive convolution of Gaussian white noise with a real space transfer…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Oliver Hahn , Tom Abel

Inverse problems constrained by partial differential equations are often ill-conditioned due to noisy and incomplete data or inherent non-uniqueness. A prominent example is full waveform inversion, which estimates Earth's subsurface…

Geophysics · Physics 2026-03-03 Ali Siahkoohi , Kamal Aghazade , Ali Gholami

We introduce a physics-informed neural framework for modeling static and time-dependent galactic gravitational potentials. The method combines data-driven learning with embedded physical constraints to capture complex, small-scale features…

Astrophysics of Galaxies · Physics 2026-04-02 Charlotte Myers , Nathaniel Starkman , Lina Necib

We leverage powerful mathematical tools stemming from optimal transport theory and transform them into an efficient algorithm to reconstruct the fluctuations of the primordial density field, built on solving the Monge-Amp\`ere-Kantorovich…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Bruno Lévy , Roya Mohayaee , Sebastian von Hausegger

The paper discusses the reconstruction of potentials for quantum systems at finite temperatures from observational data. A nonparametric approach is developed, based on the framework of Bayesian statistics, to solve such inverse problems.…

Quantum Physics · Physics 2009-11-06 J. C. Lemm , J. Uhlig , A. Weiguny

Understanding the physical conditions of dark molecular clouds and star forming regions is an inverse problem subject to complicated chemistry that varies non-linearly with time and the physical environment. In this paper we apply a…

Solar and Stellar Astrophysics · Physics 2014-09-25 Antonios Makrymallis , Serena Viti

We develop a field-level posterior for cosmological data by marginalizing over initial conditions and noise in a general forward model. While our focus is on large-scale structure data, the results generalize to any weakly non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Massimo Pietroni , Fabian Schmidt

We present a proof-of-concept of a novel and fully Bayesian methodology designed to detect halos of different masses in cosmological observations subject to noise and systematic uncertainties. Our methodology combines the previously…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Alexander I. Merson , Jens Jasche , Filipe B. Abdalla , Ofer Lahav , Benjamin Wandelt , D. Heath Jones , Matthew Colless

The reconstruction of the initial conditions of the Universe is an important topic in cosmology, particularly in the context of sharpening the measurement of the baryon acoustic oscillation (BAO) peak. Nonlinear reconstruction algorithms…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 Jack Birkin , Baojiu Li , Marius Cautun , Yanlong Shi

The reconstruction of the large scale velocity field from the grouped Cosmicflows-4 (CF4) database is presented. The lognormal bias of the inferred distances and velocities data is corrected by the Bias Gaussianization correction (BGc)…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-03 Yehuda Hoffman , Aurélien Valade , Noam I. Libeskind , Jenny G. Sorce , R. Brent Tully , Simon Pfeifer , Stefan Gottlöber , Daniel Pomaréde

Generating large volume hydrodynamical simulations for cosmological observables is a computationally demanding task necessary for next generation observations. In this work, we construct a novel fully convolutional variational auto-encoder…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-21 Benjamin Horowitz , Max Dornfest , Zarija Lukić , Peter Harrington

Primordial black holes (PBHs) might be formed in the early Universe and could comprise at least a fraction of the dark matter. Using the recently released GWTC-2 dataset from the third observing run of the LIGO-Virgo Collaboration, we…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Kaze W. K. Wong , Gabriele Franciolini , Valerio De Luca , Vishal Baibhav , Emanuele Berti , Paolo Pani , Antonio Riotto

We aim to present a generalized Bayesian inference method for constraining interiors of super Earths and sub-Neptunes. Our methodology succeeds in quantifying the degeneracy and correlation of structural parameters for high dimensional…

Instrumentation and Methods for Astrophysics · Physics 2017-01-09 C. Dorn , J. Venturini , A. Khan , K. Heng , Y. Alibert , R. Helled , A. Rivoldini , W. Benz

We propose an alternative interpretation of Markovian transport models based on the well-mixedness condition, in terms of the properties of a random velocity field with second order structure functions scaling linearly in the space time…

Chaotic Dynamics · Physics 2009-11-10 Piero Olla , Paolo Paradisi