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The effective redshift distribution $n(z)$ of galaxies is a critical component in the study of weak gravitational lensing. Here, we introduce a new method for determining $n(z)$ for weak lensing surveys based on high-quality redshifts and…

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-28 Andreas Tersenov , Lucie Baumont , Jean-Luc Starck , Martin Kilbinger

Handling big data has largely been a major bottleneck in traditional statistical models. Consequently, when accurate point prediction is the primary target, machine learning models are often preferred over their statistical counterparts for…

Methodology · Statistics 2021-04-02 Arindam Fadikar , Stefan M. Wild , Jonas Chaves-Montero

We introduce Markov chain Monte Carlo (MCMC) algorithms based on numerical approximations of piecewise-deterministic Markov processes obtained with the framework of splitting schemes. We present unadjusted as well as adjusted algorithms,…

Probability · Mathematics 2025-11-04 Andrea Bertazzi , Paul Dobson , Pierre Monmarché

Cross-correlations between the galaxy number density in a lensing source sample and that in an overlapping spectroscopic sample can in principle be used to calibrate the lensing source redshift distribution. In this paper, we study in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Roland de Putter , Olivier Doré , Sudeep Das

Cosmological experiments often employ Bayesian workflows to derive constraints on cosmological and astrophysical parameters from their data. It has been shown that these constraints can be combined across different probes such as Planck and…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-28 Harry Bevins , Will Handley , Pablo Lemos , Peter Sims , Eloy de Lera Acedo , Anastasia Fialkov

Recently, it has been shown that it is possible to reconstruct the projected mass distribution of a cluster from weak lensing provided that both the geometry of the universe and the probability distribution of galaxy redshifts are known;…

Astrophysics · Physics 2007-05-23 Marco Lombardi , Giuseppe Bertin

(Abridged) Weak gravitational lensing is an ideal probe of the dark universe. In recent years, several linear methods have been developed to reconstruct the density distribution in the Universe in three dimensions, making use of photometric…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Adrienne Leonard , François-Xavier Dupé , Jean-Luc Starck

We introduce a new method for constraining the redshift distribution of a set of galaxies, using weak gravitational lensing shear. Instead of using observed shears and redshifts to constrain cosmological parameters, we ask how well the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 D. Wittman , W. A. Dawson

The next generation of weak gravitational lensing surveys is capable of generating good measurements of cosmological parameters, provided that, amongst other requirements, adequate redshift information is available for the background…

Astrophysics · Physics 2009-11-11 Edward Edmondson , Lance Miller , Christian Wolf

Determining the redshift distribution $n(z)$ of galaxy samples is essential for several cosmological probes including weak lensing. For imaging surveys, this is usually done using photometric redshifts estimated on an object-by-object…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-31 Jörg Herbel , Tomasz Kacprzak , Adam Amara , Alexandre Refregier , Claudio Bruderer , Andrina Nicola

We perform a systematic analysis of the effects of photometric redshift uncertainties on weak lensing tomography. We describe the photo-z distribution with a bias and Gaussian scatter that are allowed to vary arbitrarily between intervals…

Astrophysics · Physics 2009-11-13 Zhaoming Ma , Wayne Hu , Dragan Huterer

A novel approach of accurately reconstructing storage ring's linear optics from turn-by-turn (TbT) data containing measurement error is introduced. This approach adopts a Bayesian inference based on the Markov Chain Monte-Carlo (MCMC)…

Accelerator Physics · Physics 2019-07-01 Yue Hao , Yongjun Li , Michael Balcewicz , Leo Neufcourt , Weixing Cheng

We present a concept study on weak lensing map reconstruction through the cosmic magnification effect in galaxy number density distribution. We propose a minimal variance linear estimator to minimize both the dominant systematical and…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-16 Xinjuan Yang , Pengjie Zhang

Recent advances in Markov chain Monte Carlo (MCMC) extend the scope of Bayesian inference to models for which the likelihood function is intractable. Although these developments allow us to estimate model parameters, other basic problems…

Computation · Statistics 2019-12-12 Minh-Ngoc Tran , Marcel Scharth , David Gunawan , Robert Kohn , Scott D. Brown , Guy E. Hawkins

We investigate how observations of strong lensing can be used to infer cosmological parameters, in particular the equation of state of dark energy. We focus on the growth of the critical lines of lensing clusters with the source redshift as…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-03 Britta Zieser , Matthias Bartelmann

Markov-chain Monte Carlo sampling has become a standard technique for exploring the posterior distribution of cosmological parameters constrained by observations of CMB anisotropies. Given an infinite amount of time, any MCMC sampler will…

Astrophysics · Physics 2007-05-23 Anze Slosar , Michael Hobson

We describe a new approach for the determination of cosmological parameters using gravitational lensing systems with multiple arcs, exploiting the fact that a given cluster can produce multiple arcs from sources over a broad range in…

Astrophysics · Physics 2009-10-30 Robert Link , Michael J. Pierce

Focusing on the well motivated aperture mass statistics $\Map$, we study the possibility of constraining cosmological parameters using future space based SNAP class weak lensing missions. Using completely analytical results we construct the…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Patrick Valageas

Determining the distribution of redshifts of galaxies observed by wide-field photometric experiments like the Dark Energy Survey is an essential component to mapping the matter density field with gravitational lensing. In this work we…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 J. Myles , A. Alarcon , A. Amon , C. Sánchez , S. Everett , J. DeRose , J. McCullough , D. Gruen , G. M. Bernstein , M. A. Troxel , S. Dodelson , A. Campos , N. MacCrann , B. Yin , M. Raveri , A. Amara , M. R. Becker , A. Choi , J. Cordero , K. Eckert , M. Gatti , G. Giannini , J. Gschwend , R. A. Gruendl , I. Harrison , W. G. Hartley , E. M. Huff , N. Kuropatkin , H. Lin , D. Masters , R. Miquel , J. Prat , A. Roodman , E. S. Rykoff , I. Sevilla-Noarbe , E. Sheldon , R. H. Wechsler , B. Yanny , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bhargava , S. L. Bridle , D. Brooks , D. L. Burke , A. Carnero Rosell , M. Carrasco Kind , J. Carretero , F. J. Castander , C. Conselice , M. Costanzi , M. Crocce , L. N. da Costa , M. E. S. Pereira , S. Desai , H. T. Diehl , T. F. Eifler , J. Elvin-Poole , A. E. Evrard , I. Ferrero , A. Ferté , B. Flaugher , P. Fosalba , J. Frieman , J. García-Bellido , E. Gaztanaga , T. Giannantonio , S. R. Hinton , D. L. Hollowood , K. Honscheid , B. Hoyle , D. Huterer , D. J. James , E. Krause , K. Kuehn , O. Lahav , M. Lima , M. A. G. Maia , J. L. Marshall , P. Martini , P. Melchior , F. Menanteau , J. J. Mohr , R. Morgan , J. Muir , R. L. C. Ogando , A. Palmese , F. Paz-Chinchón , A. A. Plazas , M. Rodriguez-Monroy , S. Samuroff , E. Sanchez , V. Scarpine , L. F. Secco , S. Serrano , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To , T. N. Varga , J. Weller , W. Wester