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We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

信息论 · 计算机科学 2015-06-17 Jeremy Vila , Philip Schniter

We apply state-of-the-art, likelihood-free statistical inference (machine-learning-based) techniques for reconstructing the spectral shape of a gravitational wave background (GWB). We focus on the reconstruction of an arbitrarily shaped…

宇宙学与河外天体物理 · 物理学 2024-12-09 Androniki Dimitriou , Daniel G. Figueroa , Bryan Zaldivar

A new method for analyzing the returns of the custom-made 'micro'-LIDAR system, which is operated along with the two MAGIC telescopes, allows to apply atmospheric corrections in the MAGIC data analysis chain. Such corrections make it…

天体物理仪器与方法 · 物理学 2019-08-13 Christian Fruck , Markus Gaug , Roberta Zanin , Daniela Dorner , Daniel Garrido , Razmik Mirzoyan , Lluis Font

We treat an image restoration problem with a Poisson noise chan- nel using a Bayesian framework. The Poisson randomness might be appeared in observation of low contrast object in the field of imaging. The noise observation is often hard to…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Hayaru Shouno

Making cosmological inferences from the observed galaxy clustering requires accurate predictions for the mean clustering statistics and their covariances. Those are affected by cosmic variance -- the statistical noise due to the finite…

宇宙学与河外天体物理 · 物理学 2020-04-08 Anatoly Klypin , Francisco Prada , Joyce Byun

We propose an algorithm for the reconstruction of the signal induced by cosmic strings in the cosmic microwave background (CMB), from radio-interferometric data at arcminute resolution. Radio interferometry provides incomplete and noisy…

宇宙学与河外天体物理 · 物理学 2015-05-14 Y. Wiaux , G. Puy , P. Vandergheynst

A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct the locations and intensities of the unknown acoustic sources using partial data. First, we extend the direct sampling…

数值分析 · 数学 2020-04-10 Zhaoxing Li , Yanfang Liu , Jiguang Sun , Liwei Xu

We report here the first full sky component separation and CMB power spectrum estimation using a Wiener filtering technique on simulated data from the upcoming MAP experiment, set to launch in early 2001. The simulations included…

天体物理学 · 物理学 2009-10-31 S. Prunet , R. Teyssier , S. T. Scully , F. R. Bouchet , R. Gispert

Constraints on cosmological parameters from large-scale structure have traditionally been obtained from two-point statistics. However, non-linear structure formation renders these statistics insufficient in capturing the full information…

宇宙学与河外天体物理 · 物理学 2017-11-22 Alex Hall , Alexander Mead

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

Fusing an arbitrary number of modalities is vital for achieving robust multi-modal fusion of semantic segmentation yet remains less explored to date. Recent endeavors regard RGB modality as the center and the others as the auxiliary,…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Xu Zheng , Yuanhuiyi Lyu , Jiazhou Zhou , Lin Wang

Covariance estimation and selection for multivariate datasets in a high-dimensional regime is a fundamental problem in modern statistics. Gaussian graphical models are a popular class of models used for this purpose. Current Bayesian…

统计方法学 · 统计学 2019-03-06 Xuan Cao , Shaojun Zhang

We present methods to rigorously extract parameter combinations that are constrained by data from posterior distributions. The standard approach uses linear methods that apply to Gaussian distributions. We show the limitations of the linear…

宇宙学与河外天体物理 · 物理学 2022-04-06 Tara Dacunha , Marco Raveri , Minsu Park , Cyrille Doux , Bhuvnesh Jain

We study how well the Gaussian approximation is valid for computing the covariance matrices of the convergence power and bispectrum in weak gravitational lensing analyses. We focus on its impact on the cosmological parameter estimations by…

宇宙学与河外天体物理 · 物理学 2015-06-12 Masanori Sato , Takahiro Nishimichi

The identification of non-Gaussian signatures in cosmic microwave background (CMB) temperature maps is one of the main cosmological challenges today. We propose and investigate altenative methods to analyse CMB maps. Using the technique of…

天体物理学 · 物理学 2009-11-07 C. Raeth , P. Schuecker

The goal of predictive data attribution is to estimate how adding or removing a given set of training datapoints will affect model predictions. In convex settings, this goal is straightforward (i.e., via the infinitesimal jackknife). In…

机器学习 · 计算机科学 2025-04-24 Andrew Ilyas , Logan Engstrom

In this work, we formalize a new technique to investigate joint posterior density of Cosmic Microwave Background (CMB) signal and its theoretical angular power spectrum given the observed data, using the global internal-linear-combination…

宇宙学与河外天体物理 · 物理学 2018-10-23 Vipin Sudevan , Rajib Saha

In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these approaches often overlook the rich spectral structure of the…

统计理论 · 数学 2025-05-06 Tomoya Wakayama , Masaaki Imaizumi

The quality of CMB observations has improved dramatically in the last few years, and will continue to do so in the coming decade. Over a wide range of angular scales, the uncertainty due to instrumental noise is now small compared to the…

In this paper we present a new method to estimate a foreground cleaned Cosmic Microwave Background (CMB) map at a resolution of $1^\circ$ by minimizing the non-Gaussian properties of the cleaned map which arise dominantly due to diffuse…

宇宙学与河外天体物理 · 物理学 2015-05-28 Rajib Saha