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Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

统计理论 · 数学 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

Until recently mass-mapping techniques for weak gravitational lensing convergence reconstruction have lacked a principled statistical framework upon which to quantify reconstruction uncertainties, without making strong assumptions of…

宇宙学与河外天体物理 · 物理学 2021-02-08 Matthew A. Price , Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra , Thomas D. Kitching

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

We re-examine a genuine power of weak lensing bispectrum tomography for constraining cosmological parameters, when combined with the power spectrum tomography, based on the Fisher information matrix formalism. To account for the full…

宇宙学与河外天体物理 · 物理学 2013-06-21 Issha Kayo , Masahiro Takada

$ $Weak gravitational lensing is a powerful probe which is used to constrain the standard cosmological model and its extensions. With the enhanced statistical precision of current and upcoming surveys, high accuracy predictions for weak…

宇宙学与河外天体物理 · 物理学 2023-04-26 Ting Tan , Dominik Zuercher , Janis Fluri , Alexandre Refregier , Federica Tarsitano , Tomasz Kacprzak

The weak lensing power spectrum carries cosmological information via its dependence on the growth of structure and on geometric factors. Since much of the cosmological information comes from scales affected by nonlinear clustering,…

天体物理学 · 物理学 2010-11-02 Masahiro Takada , Bhuvnesh Jain

Cosmological parameter uncertainties are often stated assuming a particular model, neglecting the model uncertainty, even when Bayesian model selection is unable to identify a conclusive best model. Bayesian model averaging is a method for…

宇宙学与河外天体物理 · 物理学 2010-12-23 David Parkinson , Andrew R. Liddle

Weak gravitational lensing has become a common tool to constrain the cosmological model. The majority of the methods to derive constraints on cosmological parameters use second-order statistics of the cosmic shear. Despite their success,…

宇宙学与河外天体物理 · 物理学 2015-06-04 Sandrine Pires , Adrienne Leonard , Jean-Luc Starck

Weak gravitational lensing provides a unique method to map directly the dark matter in the Universe. The majority of lensing analyses uses the two-point statistics of the cosmic shear field to constrain the cosmological model yielding…

宇宙学与河外天体物理 · 物理学 2014-11-18 S. Pires , J. -L. Starck , A. Amara , A. Refregier , R. Teyssier

Increasingly large parameter spaces, used to more accurately model precision observables in physics, can paradoxically lead to large deviations in the inferred parameters of interest -- a bias known as volume projection effects -- when…

宇宙学与河外天体物理 · 物理学 2025-07-29 Alexander Reeves , Pierre Zhang , Henry Zheng

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

The capacity of Stage IV lensing surveys to measure the neutrino mass sum and differentiate between the normal and inverted mass hierarchies depends on the impact of nuisance parameters describing small-scale baryonic astrophysics and…

宇宙学与河外天体物理 · 物理学 2020-06-09 David Copeland , Andy Taylor , Alex Hall

Cosmology from weak gravitational lensing has been limited by astrophysical uncertainties in baryonic feedback and intrinsic alignments. By calibrating these effects using external data, we recover non-linear information, achieving a 2%…

(Abridged) The effect of baryonic feedback on the dark matter mass distribution is generally considered to be a nuisance to weak gravitational lensing. Measurements of cosmological parameters are affected as feedback alters the cosmic shear…

宇宙学与河外天体物理 · 物理学 2015-06-22 Joachim Harnois-Déraps , Ludovic van Waerbeke , Massimo Viola , Catherine Heymans

Measurement error occurs when a covariate influencing a response variable is corrupted by noise. This can lead to misleading inference outcomes, particularly in problems where accurately estimating the relationship between covariates and…

统计方法学 · 统计学 2026-01-16 Charita Dellaporta , Theodoros Damoulas

We consider the estimation of a sparse parameter vector from measurements corrupted by white Gaussian noise. Our focus is on unbiased estimation as a setting under which the difficulty of the problem can be quantified analytically. We show…

信息论 · 计算机科学 2010-02-02 Alexander Jung , Zvika Ben-Haim , Franz Hlawatsch , Yonina C. Eldar

We develop an extension of \textit{the Halo Model} that describes analytically the corrections to the matter power spectrum due to the physics of baryons. We extend these corrections to the weak-lensing shear angular power spectrum. Within…

宇宙学与河外天体物理 · 物理学 2014-10-28 Irshad Mohammed , Davide Martizzi , Romain Teyssier , Adam Amara

One of the main unsolved problems of cosmology is how to maximize the extraction of information from nonlinear data. If the data are nonlinear the usual approach is to employ a sequence of statistics (N-point statistics, counting statistics…

宇宙学与河外天体物理 · 物理学 2018-03-07 Uros Seljak , Grigor Aslanyan , Yu Feng , Chirag Modi

In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

最优化与控制 · 数学 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

Forthcoming cosmic shear surveys will make precise measurements of the matter density field down to very small scales, scales which are dominated by baryon feedback. The modelling of baryon feedback is crucial to ensure unbiased…

宇宙学与河外天体物理 · 物理学 2025-02-10 Alessandro Maraio , Alex Hall , Andy Taylor