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Non-linear and non-Gaussian signal inference problems are difficult to tackle. Renormalization techniques permit us to construct good estimators for the posterior signal mean within information field theory (IFT), but the approximations and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 Torsten A. Ensslin , Cornelius Weig

Bayesian statistical inference is a powerful tool for model-data comparisons and extractions of physical parameters that are often unknown functions of system variables. Existing Bayesian analyses often rely on explicit parametrizations of…

High Energy Physics - Phenomenology · Physics 2023-08-09 Man Xie , Weiyao Ke , Hanzhong Zhang , Xin-Nian Wang

We give a detailed exposition of the formalism of Kinetic Field Theory (KFT) with emphasis on the perturbative determination of observables. KFT is a statistical non-equilibrium classical field theory based on the path integral formulation…

High Energy Physics - Theory · Physics 2022-10-05 Lavinia Heisenberg , Shayan Hemmatyar , Stefan Zentarra

Astrophysical processes such as feedback from supernovae and active galactic nuclei modify the properties and spatial distribution of dark matter, gas, and galaxies in a poorly understood way. This uncertainty is one of the main theoretical…

We show how the demon of Frieden and Soffer, working in a non-extensive statistical scenario, is able to devise solutions to some of Einstein's field equations by recourse to nonlocal changes of variables between appropriate differential…

Mathematical Physics · Physics 2015-06-05 Luis P. Chimento , Flavia Pennini , Angel Plastino

The effective-field-theory (EFT) approach to the clustering of galaxies and other biased tracers allows for an isolation of the cosmological information that is protected by symmetries, in particular the equivalence principle, and thus is…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-03 Franz Elsner , Fabian Schmidt , Jens Jasche , Guilhem Lavaux , Nhat-Minh Nguyen

Cosmology inference of galaxy clustering at the field level with the EFT likelihood in principle allows for extracting all non-Gaussian information from quasi-linear scales, while robustly marginalizing over any astrophysical uncertainties.…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-31 Julia Stadler , Fabian Schmidt , Martin Reinecke

Image subtraction is essential for transient detection in time-domain astronomy. The point spread function (PSF), photometric scaling, and sky background generally vary with time and across the field-of-view for imaging data taken with…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Lei Hu , Lifan Wang , Xingzhuo Chen , Jiawen Yang

Nowadays there is no field research which is not flooded with data. Among the sciences, Astrophysics has always been driven by the analysis of massive amounts of data. The development of new and more sophisticated observation facilities,…

Instrumentation and Methods for Astrophysics · Physics 2017-06-14 Mauro Garofalo , Alessio Botta , Giorgio Ventre

The effective field theory (EFT) of dark energy relies on three functions of time to describe the background dynamics. The viability of these functions is investigated here by means of a thorough dynamical analysis. While the system is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Noemi Frusciante , Marco Raveri , Alessandra Silvestri

The advent of increasingly advanced surveys and cosmic tracers has motivated the development of new inference techniques and novel approaches to extracting information from cosmic fields. A central challenge in this endeavor is to quantify…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Ce Sui , Yi Mao , Xiaosheng Zhao , Tao Jing , Benjamin D. Wandelt

This paper describes the Bayesian Technique for Multi-image Analysis (BaTMAn), a novel image-segmentation technique based on Bayesian statistics that characterizes any astronomical dataset containing spatial information and performs a…

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 J. Casado , Y. Ascasibar , R. García-Benito , G. Guidi , O. S. Choudhury , E. Bellocchi , S. F. Sánchez , A. I. Díaz

Modern astronomy has been rapidly increasing our ability to see deeper into the universe, acquiring enormous samples of cosmic populations. Gaining astrophysical insights from these datasets requires a wide range of sophisticated…

Instrumentation and Methods for Astrophysics · Physics 2020-12-11 Eric D. Feigelson , Rafael S. de Souza , Emille E. O. Ishida , Gutti Jogesh Babu

The estimation of cosmological parameters from precision observables is an important industry with crucial ramifications for particle physics. This article discusses the statistical methods presently used in cosmological data analysis,…

High Energy Physics - Theory · Physics 2009-12-15 Andrew R Liddle

Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse…

Numerical Analysis · Mathematics 2016-10-05 Anne Gelb , Guohui Song

We investigate the effect on cosmological evolution of a strongly coupled quantum field that undergoes renormalization group flow from a UV CFT to an IR CFT. The field theory is defined by perturbation of a holographic CFT by a relevant…

High Energy Physics - Theory · Physics 2025-08-12 Mark Van Raamsdonk , Rana Zibakhsh

The cosmological redshift of a galaxy's light is inferable from its observable properties in images. Because imaging is much easier to acquire than spectroscopic observations that would allow the identification of distinct line features,…

Instrumentation and Methods for Astrophysics · Physics 2026-05-11 Luca Tortorelli , Daniel Grün

Conventional approaches to cosmology inference from galaxy redshift surveys are based on n-point functions, which are under rigorous perturbative control on sufficiently large scales. Here, we present an alternative approach, which employs…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-23 Fabian Schmidt , Franz Elsner , Jens Jasche , Nhat Minh Nguyen , Guilhem Lavaux

Imaging is the process of transforming noisy, incomplete data into a space that humans can interpret. NIFTy is a Bayesian framework for imaging and has already successfully been applied to many fields in astrophysics. Previous design…

Parameter estimation with non-Gaussian stochastic fields is a common challenge in astrophysics and cosmology. In this paper, we advocate performing this task using the scattering transform, a statistical tool sharing ideas with…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-07 Sihao Cheng , Yuan-Sen Ting , Brice Ménard , Joan Bruna