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Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

Signal Processing · Electrical Eng. & Systems 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

The form of the primordial power spectrum has the potential to differentiate strongly between competing models of perturbation generation in the early universe and so is of considerable importance. The recent release of five years of WMAP…

Astrophysics · Physics 2015-05-13 M. Bridges , F. Feroz , M. P. Hobson , A. N. Lasenby

Model uncertainties in the non-linear structure growth limit current probes of cosmological parameters. To shed more light on the physics of non-linear scales, we reconstructed the finely binned three-dimensional power-spectrum from lensing…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-18 Patrick Simon , Lucas Porth , Pierre Burger , Konrad Kuijken

We characterize the peculiar velocity field of the local large-scale structure reconstructed from the $2M++$ survey, by treating it as a fluid, extracting the divergence via different approximations over a range pf averaged scales. This…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Erick Pastén , Sebastián Gálvez , Víctor Cárdenas

For several decades now, Bayesian inference techniques have been applied to theories of particle physics, cosmology and astrophysics to obtain the probability density functions of their free parameters. In this study, we review and compare…

High Energy Physics - Phenomenology · Physics 2025-09-03 Joshua Albert , Csaba Balazs , Andrew Fowlie , Will Handley , Nicholas Hunt-Smith , Roberto Ruiz de Austri , Martin White

We develop a novel statistical strong lensing approach to probe the cosmological parameters by exploiting multiple redshift image systems behind galaxies or galaxy clusters. The method relies on free-form mass inversion of strong lenses and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 M. Lubini , M. Sereno , J. Coles , Ph. Jetzer , P. Saha

Building upon the recent pioneering work by Mazenko and by Das and Mazenko, we develop a microscopic, non-equilibrium, statistical field theory for initially correlated canonical ensembles of classical microscopic particles obeying…

Statistical Mechanics · Physics 2019-04-08 Matthias Bartelmann , Felix Fabis , Daniel Berg , Elena Kozlikin , Robert Lilow , Celia Viermann

The skeleton formalism aims at extracting and quantifying the filamentary structure of the universe is generalized to 3D density fields; a numerical method for computating a local approximation of the skeleton is presented and validated…

Astrophysics · Physics 2009-11-13 T. Sousbie , C. Pichon , S. Colombi , D. Novikov , D. Pogosyan

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

Advances in experimental techniques make it possible to map the high redshift Universe in three dimensions at high fidelity in the near future. This will increase the observed volume by many-fold, while providing unprecedented access to…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-13 Simone Ferraro , Noah Sailer , Anze Slosar , Martin White

[abridge]Cosmic velocity and tidal fields are important for the understanding of the cosmic web and the environments of galaxies, and can also be used to constrain cosmology. In this paper, we reconstruct these two fields in SDSS volume…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Huiyuan Wang , H. J. Mo , Xiaohu Yang , Frank C. van den Bosch

The recently released Quaia quasar catalogue, with its broad redshift range and all-sky coverage, enables unprecedented three-dimensional reconstructions of matter across cosmic time. In this work, we apply the field-level inference…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-03 Adam Andrews , Arthur Loureiro , Jens Jasche , Stuart McAlpine , Guilhem Lavaux , Florent Leclercq

We present the implementation of a halo based method for the reconstruction of the cosmic mass density field. The method employs the mass density distribution of dark matter haloes and its environments computed from cosmological N-body…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 J. C. Muñoz-Cuartas , V. Mueller , J. Forero-Romero

We further develop the description of redshift space distortions within the Effective Field Theory of Large Scale Structures. First, we generalize the counterterms to include the effect of baryonic physics and primordial non-Gaussianity.…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Matthew Lewandowski , Leonardo Senatore , Francisco Prada , Cheng Zhao , Chia-Hsun Chuang

We introduce the eikonal approximation to study the effect of the large-scale motion of cosmic fluids on their small-scale evolution. This approach consists in collecting the impact of the long-wavelength displacement field into a single or…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-09 Francis Bernardeau , Nicolas Van de Rijt , Filippo Vernizzi

Low-frequency radio observations of neutral hydrogen during and before the epoch of cosmic reionization will provide ~ 1000 quasi-independent source planes, each of precisely known redshift, if a resolution of ~1 arcminutes or better can be…

Astrophysics · Physics 2017-03-15 R. Benton Metcalf , S. D. M. White

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

Combining redshift and galaxy shape information offers new exciting ways of exploiting the gravitational lensing effect for studying the large scales of the cosmos. One application is the three-dimensional reconstruction of the matter…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Patrick Simon , Andy Taylor , Jan Hartlap

The reconstruction method was proposed more than a decade ago to boost the signal of baryonic acoustic oscillations measured in galaxy redshift surveys, which is one of key probes for dark energy. After moving the observed overdensities in…

Recent application of the Bayesian algorithm BORG to the Sloan Digital Sky Survey (SDSS) main sample galaxies resulted in the physical inference of the formation history of the observed large-scale structure from its origin to the present…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Florent Leclercq , Jens Jasche , Benjamin Wandelt