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We revise the Bayesian inference steps required to analyse the cosmological large-scale structure. Here we make special emphasis in the complications which arise due to the non-Gaussian character of the galaxy and matter distribution. In…

宇宙学与河外天体物理 · 物理学 2015-06-03 Francisco-Shu Kitaura

We present a Bayesian reconstruction algorithm that infers the three-dimensional large-scale matter distribution from the weak gravitational lensing effects measured in the image shapes of galaxies. The algorithm is designed to also work…

宇宙学与河外天体物理 · 物理学 2017-12-20 Vanessa Böhm , Stefan Hilbert , Maksim Greiner , Torsten A. Enßlin

We present a Bayesian reconstruction algorithm to generate unbiased samples of the underlying dark matter field from halo catalogues. Our new contribution consists of implementing a non-Poisson likelihood including a deterministic…

宇宙学与河外天体物理 · 物理学 2015-06-22 Metin Ata , Francisco-Shu Kitaura , Volker Müller

We present a simple and accurate method to constrain galaxy bias based on the distribution of counts in cells. The most unique feature of our technique is that it is applicable to non-linear scales, where both dark matter statistics and the…

天体物理学 · 物理学 2009-11-10 Istvan Szapudi , Jun Pan

Beyond the linear regime, the power spectrum and higher order moments of the matter field no longer capture all cosmological information encoded in density fluctuations. While non-linear transforms have been proposed to extract this…

宇宙学与河外天体物理 · 物理学 2015-06-17 Julien Carron , Istvan Szapudi

We have developed a method based on wavelets to obtain the true underlying smooth density from a point distribution. The goal has been to reconstruct the density field in an optimal way ensuring that the morphology of the reconstructed…

天体物理学 · 物理学 2009-11-13 V. J. Martinez , J. -L. Starck , E. Saar , D. L. Donoho , S. Reynolds , P. de la Cruz , S. Paredes

Context. The overdensity inside a cosmological sub-volume and the tidal fields from its surroundings affect the matter distribution of the region. The resulting difference between the local and global power spectra is characterized by the…

宇宙学与河外天体物理 · 物理学 2022-05-11 Gábor Rácz , István Szapudi , István Csabai

Reconstructing the matter density field from galaxy counts is a problem frequently addressed in current literature. Two main sources of error are shot noise from galaxy counts and insufficient knowledge of the correct galaxy position caused…

宇宙学与河外天体物理 · 物理学 2015-05-18 Cornelius Weig , Torsten Ensslin

Producing thousands of simulations of the dark matter distribution in the Universe with increasing precision is a challenging but critical task to facilitate the exploitation of current and forthcoming cosmological surveys. Many inexpensive…

宇宙学与河外天体物理 · 物理学 2023-02-02 Davide Piras , Benjamin Joachimi , Francisco Villaescusa-Navarro

The aim of this paper is to provide a variational interpretation of the nonlinear filter in continuous time. A time-stepping procedure is introduced, consisting of successive minimization problems in the space of probability densities. The…

最优化与控制 · 数学 2014-12-19 Richard S. Laugesen , Prashant G. Mehta , Sean P. Meyn , Maxim Raginsky

The negative binomial distribution has been widely used as a more flexible model than the Poisson distribution for count data. However, when the true data-generating process is Poisson, it is often challenging to distinguish it from a…

统计理论 · 数学 2026-04-07 Yingying Yang , Niloufar Dousti Mousavi , Zhou Yu , Jie Yang

Poisson denoising plays a central role in photon-limited imaging applications such as microscopy, astronomy, and medical imaging. It is common to train deep learning models for denoising using the mean-squared error (MSE) loss, which…

信号处理 · 电气工程与系统科学 2025-10-09 Shirin Shoushtari , Edward P. Chandler , Ulugbek S. Kamilov

Observations of the Lyman-$\alpha$ forest in distant quasar spectra with upcoming surveys are expected to provide significantly larger and higher-quality datasets. To interpret these datasets, it is imperative to develop efficient…

宇宙学与河外天体物理 · 物理学 2024-03-13 Bhaskar Arya , Tirthankar Roy Choudhury , Aseem Paranjape , Prakash Gaikwad

We construct a linear filter optimised for detecting dark-matter halos in weak-lensing data. The filter assumes a mean radial profile of the halo shear pattern and modifies that shape by the noise power spectrum. Aiming at separating…

天体物理学 · 物理学 2009-11-10 M. Maturi , M. Meneghetti , M. Bartelmann , K. Dolag , L. Moscardini

A method for the recovery of the real space line-of-sight mass density field from Lyman absorption in QSO spectra is presented. The method makes use of a Lucy-type algorithm for the recovery of the HI density. The matter density is inferred…

天体物理学 · 物理学 2009-10-30 Adi Nusser , Martin Haehnelt

We study the rate of convergence of posterior distributions in density estimation problems for log-densities in periodic Sobolev classes characterized by a smoothness parameter p. The posterior expected density provides a nonparametric…

统计理论 · 数学 2009-09-29 Catia Scricciolo

The treatment of unknown foreground contaminations will be one of the major challenges for galaxy clustering analyses of coming decadal surveys. These data contaminations introduce erroneous large-scale effects in recovered power spectra…

宇宙学与河外天体物理 · 物理学 2019-04-24 Natalia Porqueres , Doogesh Kodi Ramanah , Jens Jasche , Guilhem Lavaux

Using third-order perturbation theory, we derive a relation between the mean divergence of the peculiar velocity given density and the density itself. Our calculations assume Gaussian initial conditions and are valid for Gaussian filtering…

天体物理学 · 物理学 2015-06-24 Michal Chodorowski , Ewa Lokas , Agnieszka Pollo , Adi Nusser

In this work we investigate the multivariate statistical description of the matter distribution in the nonlinear regime. We introduce the multivariate Edgeworth expansion of the lognormal distribution to model the cosmological matter field.…

宇宙学与河外天体物理 · 物理学 2015-05-20 F. S. Kitaura
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