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High dimensional error covariance matrices and their inverses are used to weight the contribution of observation and background information in data assimilation procedures. As observation error covariance matrices are often obtained by…

最优化与控制 · 数学 2019-10-02 Jemima M. Tabeart , Sarah L. Dance , Amos S. Lawless , Nancy K. Nichols , Joanne A. Waller

An important class of nonlinear weighted least-squares problems arises from the assimilation of observations in atmospheric and ocean models. In variational data assimilation, inverse error covariance matrices define the weighting matrices…

数值分析 · 数学 2022-12-06 Olivier Goux , Selime Gürol , Anthony T. Weaver , Oliver Guillet , Youssef Diouane

Data assimilation algorithms combine prior and observational information, weighted by their respective uncertainties, to obtain the most likely posterior of a dynamical system. In variational data assimilation the posterior is computed by…

Data assimilation involves estimating the state of a system by combining observations from various sources with a background estimate of the state. The weights given to the observations and background state depend on their specified error…

数值分析 · 数学 2025-03-13 Olivier Goux , Anthony Weaver , Selime Gürol , Oliver Guillet , Andrea Piacentini

This study aims at introducing two conservative thermodynamic variables (moist-air entropy potential temperature and total water content) into a one-dimensional variational data assimilation system (1D-Var) to demonstrate the benefit for…

An Ensemble of Data Assimilations (EDA) can provide valuable information on the analysis and short-range forecast uncertainties. The present ECMWF operational ocean analysis and reanalysis system, called ORAS5, produces an ensemble but does…

大气与海洋物理 · 物理学 2024-07-08 Marcin Chrust , Anthony T. Weaver , Philip Browne , Hao Zuo , Magdalena Alonso Balmaseda

Incremental 4D-Var is a data assimilation algorithm used routinely at operational numerical weather predictions centers worldwide.This paper implements a new method for parallelizing incremental 4D-Var, the Randomized Incremental Optimal…

数值分析 · 数学 2024-09-23 Nicolas Bousserez , Jonathan J. Guerrette , Daven K. Henze

Autonomous driving systems are highly dependent on sensors like cameras, LiDAR, and inertial measurement units (IMU) to perceive the environment and estimate their motion. Among these sensors, perception-based sensors are not protected from…

机器人学 · 计算机科学 2025-07-15 Mohammadhossein Talebi , Pragyan Dahal , Davide Possenti , Stefano Arrigoni , Francesco Braghin

Cross-correlation techniques provide a promising avenue for calibrating photometric redshifts and determining redshift distributions using spectroscopy which is systematically incomplete (e.g., current deep spectroscopic surveys fail to…

天体物理仪器与方法 · 物理学 2012-01-20 Daniel J. Matthews , Jeffrey A. Newman

When exposure measurement error (EME), confounder measurement error (CME), or both are present, health effect estimates regarding exposure mixtures and critical exposure time-window may not represent the true effects. For example, in air…

统计理论 · 数学 2025-05-28 Honghyok Kim

Introduction: Methods now exist to detect residual confounding. One requires an "indicator" with two key properties: conditional independence of the outcome (given exposure and measured covariates) absent confounding and other model…

统计方法学 · 统计学 2015-10-26 W. Dana Flanders , Matthew J. Strickland , Mitchel Klein

Several popular computer vision (CV) datasets, specifically employed for Object Detection (OD) in autonomous driving tasks exhibit biases due to a range of factors including weather and lighting conditions. These biases may impair a model's…

计算机视觉与模式识别 · 计算机科学 2023-01-05 Aboli Marathe , Rahee Walambe , Ketan Kotecha

This article discusses aeroacoustic imaging methods based on correlation measurements in the frequency domain. Standard methods in this field assume that the estimated correlation matrix is superimposed with additive white noise. In this…

信号处理 · 电气工程与系统科学 2020-12-30 Hans-Georg Raumer , Carsten Spehr , Thorsten Hohage , Daniel Ernst

Background: In clinical research, the Bland-Altman analysis is commonly used to assess agreement of metric measurements made by two or more techniques, devices or methods. The approach can also deal with repeated measurements per subject or…

统计方法学 · 统计学 2026-04-01 Siranush Karapetyan , Achim Zeileis , Moritz Flick , Bernd Saugel , Alexander Hapfelmeier

Earth Observation (EO) data are increasingly used in policy analysis by enabling granular estimation of conditional average treatment effects (CATE). However, a challenge in EO-based causal inference is determining the scale of the input…

机器学习 · 统计学 2025-03-18 Fucheng Warren Zhu , Connor T. Jerzak , Adel Daoud

Automated vehicles require an accurate perception of their surroundings for safe and efficient driving. Lidar-based object detection is a widely used method for environment perception, but its performance is significantly affected by…

计算机视觉与模式识别 · 计算机科学 2024-01-18 Raphael van Kempen , Tim Rehbronn , Abin Jose , Johannes Stegmaier , Bastian Lampe , Timo Woopen , Lutz Eckstein

Accurate estimation of error covariances (both background and observation) is crucial for efficient observation compression approaches in data assimilation of large-scale dynamical problems. We propose a new combination of a covariance…

数值分析 · 数学 2021-06-11 Sibo Cheng , Didier Lucor , Jean-Philippe Argaud

Adaptive optics systems require a calibration procedure to operate, whether in closed loop or even more importantly in forward control. This calibration usually takes the form of an interaction matrix and is a measure of the response on the…

天体物理仪器与方法 · 物理学 2021-01-15 Olivier Lai , Mark Chun , Ryan Dungee , Jessica Lu , Marcel Carbillet

State estimates from weak constraint 4D-Var data assimilation can vary significantly depending on the data and model error covariances. As a result, the accuracy of these estimates heavily depends on the correct specification of both model…

统计方法学 · 统计学 2025-04-28 Sandra R. Babyale , Jodi Mead , Donna Calhoun , Patricia O. Azike

Observation of redshifted 21-cm signals from neutral hydrogen holds the key to understanding the structure formation and its evolution during the reionization and post-reionization era. Apart from the presence of orders of magnitude larger…

天体物理仪器与方法 · 物理学 2022-03-02 Jais Kumar , Prasun Dutta , Samir Choudhuri , Nirupam Roy
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