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Data assimilation is the task to combine evolution models and observational data in order to produce reliable predictions. In this paper, we focus on ensemble-based recursive data assimilation problems. Our main contribution is a hybrid…

数值分析 · 数学 2016-02-26 Nawinda Chustagulprom , Sebastian Reich , Maria Reinhardt

This paper introduces a new perspective on multi-class ensemble classification that considers training an ensemble as a state estimation problem. The new perspective considers the final ensemble classifier model as a static state, which can…

机器学习 · 计算机科学 2019-02-25 Arjun Pakrashi , Brian Mac Namee

The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applications it may be required to enforce the solution to satisfy…

数值分析 · 数学 2020-08-26 Michael Herty , Giuseppe Visconti

This study seeks to improve the running time of the Local Directional Pattern (LDP) during feature extraction using a newly proposed acceleration scheme to LDP. LDP is considered to be computationally expensive. To confirm this, the running…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Yasin Musa Ayami , Aboubayda Shabat

The Ensemble Kalman filter assumes the observations to be Gaussian random variables with a pre-specified mean and variance. In practice, observations may also have detection limits, for instance when a gauge has a minimum or maximum value.…

最优化与控制 · 数学 2018-11-14 Abhishek Shah , Mohamad El Gharamti , Laurent Bertino

We propose an affine-mapping based variational Ensemble Kalman filter for sequential Bayesian filtering problems with generic observation models. Specifically, the proposed method is formulated as to construct an affine mapping from the…

数值分析 · 数学 2021-09-06 Linjie Wen , Jinglai Li

Nonlinear Kalman Filters are powerful and widely-used techniques when trying to estimate the hidden state of a stochastic nonlinear dynamic system. In this paper, we extend the Smart Sampling Kalman Filter (S2KF) with a new point symmetric…

系统与控制 · 计算机科学 2015-06-11 Jannik Steinbring , Martin Pander , Uwe D. Hanebeck

Typical iterated filters, such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter (IUKF), and iterated posterior linearization filter (IPLF), have been developed to improve the linearization point (or density)…

最优化与控制 · 数学 2024-04-25 Anton Kullberg , Martin A. Skoglund , Isaac Skog , Gustaf Hendeby

Geoscientific applications of ensemble Kalman filters face several computational challenges arising from the high dimensionality of the forecast covariance matrix, particularly when this matrix incorporates localization. For square-root…

计算物理 · 物理学 2025-10-15 Robin Armstrong , Ian Grooms

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

最优化与控制 · 数学 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

Ensemble Kalman methods solve problems in domains such as filtering and inverse problems with interacting particles that evolve over time. For computationally expensive problems, the cost of attaining a high accuracy quickly becomes…

数值分析 · 数学 2025-02-18 Arne Bouillon , Toon Ingelaere , Giovanni Samaey

Simultaneous state and parameter estimation arises from various applicational areas but presents a major computational challenge. Most available Markov chain or sequential Monte Carlo techniques are applicable to relatively low dimensional…

数值分析 · 数学 2017-09-28 Angwenyi David , Jana de Wiljes , Sebastian Reich

A new type of ensemble Kalman filter is developed, which is based on replacing the sample covariance in the analysis step by its diagonal in a spectral basis. It is proved that this technique improves the aproximation of the covariance when…

统计方法学 · 统计学 2015-08-19 Ivan Kasanický , Jan Mandel , Martin Vejmelka

This article introduces a new algorithm for nonlinear state estimation based on deterministic sigma point and EKF linearized framework for priori mean and covariance respectively. This method reduces the computation cost of UKF about 50%…

系统与控制 · 电气工程与系统科学 2019-07-25 Milad Behvandi , Mohammad Azam Khosravi , Amir Abolfazl Suratgar

Working with a two-stage ice sheet model, we explore how statistical data assimilation methods can be used to improve predictions of glacier melt and relatedly, sea level rise. We find that the EnKF improves model runs initialized using…

动力系统 · 数学 2023-05-23 Emily Corcoran , Logan Knudsen , Talea Mayo , Hannah Park-Kaufmann , Alexander Robel

Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

大气与海洋物理 · 物理学 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

In this work we combine ideas from multi-index Monte Carlo and ensemble Kalman filtering (EnKF) to produce a highly efficient filtering method called multi-index EnKF (MIEnKF). MIEnKF is based on independent samples of four-coupled EnKF…

数值分析 · 数学 2022-09-07 Håkon Hoel , Gaukhar Shaimerdenova , Raúl Tempone

Data assimilation (DA) aims to optimally combine model forecasts and observations that are both partial and noisy. Multi-model DA generalizes the variational or Bayesian formulation of the Kalman filter, and we prove that it is also the…

统计方法学 · 统计学 2023-01-23 Eviatar Bach , Michael Ghil

In this study, we address the challenges associated with accurately determining gaze location on a screen, which is often compromised by noise from factors such as eye tracker limitations, calibration drift, ambient lighting changes, and…

数值分析 · 数学 2025-04-21 Thoa Thieu , Roderick Melnik

Smoothing is essential to many oceanographic, meteorological and hydrological applications. The interval smoothing problem updates all desired states within a time interval using all available observations. The fixed-lag smoothing problem…

混沌动力学 · 物理学 2015-06-26 S. Ravela , D. McLaughlin