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This article provides a primer on the spectral representation of random fields via the Karhunen-Lo\`eve Expansion (KLE). The goal is to bridge the gap between the theoretical foundations of the KLE and its application in computational…

数值分析 · 数学 2026-05-12 Alen Alexanderian

We present a numerical investigation of nonlinear cluster lens reconstruction using weak lensing mass mapping. Recent advances in imaging and shear estimation have pushed reliable reduced shear measurements closer to cluster cores, making…

宇宙学与河外天体物理 · 物理学 2026-04-23 Yuan Shi , Li Cui

Motivated by the limitations encountered with the commonly used direct reconstruction techniques of producing mass maps, we have developed a multi-resolution maximum-likelihood reconstruction method for producing two dimensional mass maps…

天体物理学 · 物理学 2009-11-13 H. Khiabanian , I. P. Dell'Antonio

This paper proposes an effective treatment of hyperparameters in the Bayesian inference of a scalar field from indirect observations. Obtaining the joint posterior distribution of the field and its hyperparameters is challenging. The…

数值分析 · 数学 2025-01-20 Nadège Polette , Olivier Le Maître , Pierre Sochala , Alexandrine Gesret

Weak-lensing mass-mapping algorithms, which reconstruct the convergence field from galaxy shear measurements, are crucial for extracting higher-order statistics to constrain cosmological parameters. However, only limited research has…

宇宙学与河外天体物理 · 物理学 2025-05-28 Andreas Tersenov , Lucie Baumont , Jean-Luc Starck , Martin Kilbinger

The recent measurements of weak lensing by large-scale structure present significant new opportunities for studies of the matter distribution in the universe. Here, we present a new cosmic shear survey carried out with the Echelle…

天体物理学 · 物理学 2009-11-07 David Bacon , Richard Massey , Alexandre Refregier , Richard Ellis

In order to reach the required performance of Stage-III and IV weak lensing surveys, cosmic shear measurements have to rely on external simulations to calibrate residual biases. Over the years, several techniques have been developed to…

宇宙学与河外天体物理 · 物理学 2025-12-11 G. Congedo , A. N. Taylor

Weak gravitational lensing is an invaluable tool for understanding fundamental cosmological physics. An unresolved issue in weak lensing cosmology is to accurately reconstruct the lensing convergence $\kappa$ maps from discrete shear…

宇宙学与河外天体物理 · 物理学 2024-06-25 Yuan Shi , Pengjie Zhang , Zeyang Sun , Yihe Wang

The measurement of cosmic shear using weak gravitational lensing is a challenging task that involves a number of complicated procedures. We study in detail the systematic errors in the measurement of weak lensing Minkowski Functionals…

宇宙学与河外天体物理 · 物理学 2015-06-18 Masato Shirasaki , Naoki Yoshida

This is the third in a series of papers that develop a new and flexible model to predict weak-lensing (WL) peak counts, which have been shown to be a very valuable non-Gaussian probe of cosmology. In this paper, we compare the cosmological…

宇宙学与河外天体物理 · 物理学 2016-10-03 Chieh-An Lin , Martin Kilbinger , Sandrine Pires

Weak lensing experiments are a powerful probe of cosmology through their measurement of the mass distribution of the universe. A challenge for this technique is to control systematic errors that occur when measuring the shapes of distant…

宇宙学与河外天体物理 · 物理学 2015-06-04 Alexandre Refregier , Tomasz Kacprzak , Adam Amara , Sarah Bridle , Barnaby Rowe

We study the cosmological information of weak lensing (WL) peaks, focusing on two other statistics besides their abundance: the stacked tangential-shear profiles and the peak-peak correlation function. We use a large ensemble of simulated…

宇宙学与河外天体物理 · 物理学 2015-06-12 Laura Marian , Robert E. Smith , Stefan Hilbert , Peter Schneider

A new class of high-contrast image analysis algorithms that empirically fit and subtract systematic noise has lead to recent discoveries of faint exoplanet /substellar companions and scattered light images of circumstellar disks. These…

天体物理仪器与方法 · 物理学 2016-06-29 Laurent Pueyo

Weak gravitational lensing allows one to reconstruct the spatial distribution of the projected mass density across the sky. These "mass maps" provide a powerful tool for studying cosmology as they probe both luminous and dark matter. In…

Shear estimation bias from galaxy detection and blending identification is now recognized as an issue for ongoing and future weak lensing surveys. Currently, the empirical approach to correcting for this bias involves numerically shearing…

宇宙学与河外天体物理 · 物理学 2023-03-29 Xiangchong Li , Rachel Mandelbaum

We infer gravitational lensing shear and convergence fields from galaxy ellipticity catalogs under a spatial process prior for the lensing potential. We demonstrate the performance of our algorithm with simulated Gaussian-distributed…

宇宙学与河外天体物理 · 物理学 2017-04-19 Michael D. Schneider , Karen Y. Ng , William A. Dawson , Philip J. Marshall , Joshua Meyers , Deborah J. Bard

The unprecedented amount and the excellent quality of lensing data that the upcoming ground- and space-based surveys will produce represent a great opportunity to shed light on the questions that still remain unanswered concerning our…

宇宙学与河外天体物理 · 物理学 2021-01-27 Carolina Parroni , Edouard Tollet , Vincenzo F. Cardone , Roberto Maoli , Roberto Scaramella

We analyse the first measurements from precision weak lensing (PWL): a new methodology for measuring individual galaxy-galaxy weak lensing through velocity information. Our goal is to understand the observed shear distribution from PWL,…

星系天体物理 · 物理学 2021-02-24 Pol Gurri , Edward N. Taylor , Christopher J. Fluke

We present simple formulae for calculating the skewness and kurtosis of the aperture mass statistic for weak lensing surveys which is insensitive to masking effects of survey geometry or variable survey depth. The calculation is the higher…

天体物理学 · 物理学 2009-11-10 M. Jarvis , G. Bernstein , B. Jain

Cosmic shear probes the distribution of dark matter via gravitational lensing of distant, background galaxies. We describe our cosmic shear survey consisting of deep blank fields observed with the Keck II telescope. We have found biases in…

天体物理学 · 物理学 2007-05-23 Richard Massey , David Bacon , Alexandre Refregier , Richard Ellis