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We derive a novel, provably robust, and closed-form Bayesian update rule for online filtering in state-space models in the presence of outliers and misspecified measurement models. Our method combines generalised Bayesian inference with…

We consider the robust filtering problem for a state-space model with outliers in correlated measurements. We propose a new robust filtering framework to further improve the robustness of conventional robust filters. Specifically, the…

应用统计 · 统计学 2020-11-30 Hongwei Wang , Yuanyuan Liu , Wei Zhang , Junyi Zuo

This paper introduces a novel Kalman filter framework designed to achieve robust state estimation under both process and measurement noise. Inspired by the Weighted Observation Likelihood Filter (WoLF), which provides robustness against…

机器学习 · 统计学 2025-11-25 Weitao Liu

We present optimality results for robust Kalman filtering where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal model by suitable neighborhoods. This allows for outliers…

统计理论 · 数学 2010-04-21 Peter Ruckdeschel

In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous time state space model with discrete time observations by an algorithm that combines the Kalman filter and a particle…

统计计算 · 统计学 2019-05-22 Jian He , Asma Khedher , Peter Spreij

The reliability and precision of dynamic database are vital for the optimal operating and global control of integrated energy systems. One of the effective ways to obtain the accurate states is state estimations. A novel robust dynamic…

系统与控制 · 电气工程与系统科学 2022-05-24 Liang Chen , Yang Li , Manyun Huang , Xinxin Hui , Songlin Gu

The Kalman filter is ubiquitous for state space models because of its desirable statistical properties, ease of implementation, and generally good performance. However, it can perform poorly in the presence of outliers, or measurements with…

系统与控制 · 电气工程与系统科学 2025-02-26 Michael J. Walsh

We take up optimality results for robust Kalman filtering from Ruckdeschel[2001,2010] where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal model by suitable neighborhoods,…

统计计算 · 统计学 2010-04-23 Peter Ruckdeschel

Impulsed noise outliers are data points that differs significantly from other observations.They are generally removed from the data set through local regression or Kalman filter algorithm.However, these methods, or their generalizations,…

统计方法学 · 统计学 2022-08-02 Bertrand Cloez , Bénédicte Fontez , Eliel González García , Isabelle Sanchez

We consider the robust filtering problem for a nonlinear state-space model with outliers in measurements. To improve the robustness of the traditional Kalman filtering algorithm, we propose in this work two robust filters based on mixture…

统计方法学 · 统计学 2020-04-29 Hongwei Wang , Wei Zhang , Junyi Zuo , Heping Wang

Robustness and adaptivity are two competing objectives in Kalman filters (KF). Robustness involves temporarily inflating prior estimates of noise covariances, while adaptivity updates prior beliefs by exploiting measurements. In practical…

信息论 · 计算机科学 2026-05-11 Shilei Li , Dawei Shi , Hao Yu , Ling Shi

A common situation in filtering where classical Kalman filtering does not perform particularly well is tracking in the presence of propagating outliers. This calls for robustness understood in a distributional sense, i.e.; we enlarge the…

统计理论 · 数学 2014-01-28 Peter Ruckdeschel , Bernhard Spangl , Daria Pupashenko

Filtering is concerned with online estimation of the state of a dynamical system from partial and noisy observations. In applications where the state of the system is high dimensional, ensemble Kalman filters are often the method of choice.…

系统与控制 · 电气工程与系统科学 2024-07-30 Omar Al Ghattas , Jiajun Bao , Daniel Sanz-Alonso

Considering a common case where measurements are obtained from independent sensors, we present a novel outlier-robust filter for nonlinear dynamical systems in this work. The proposed method is devised by modifying the measurement model and…

系统与控制 · 电气工程与系统科学 2022-01-26 Aamir Hussain Chughtai , Muhammad Tahir , Momin Uppal

We propose a new robust filtering paradigm considering the situation in which model uncertainty, described through an ambiguity set, is present only in the observations. We derive the corresponding robust estimator, referred to as…

最优化与控制 · 数学 2026-05-25 Shenglun Yi , Mattia Zorzi

We present a new adaptive particle-based data assimilation scheme for cryospheric applications that leverages promising developments in importance sampling. The proposed approach seeks to combine some of the advantages of two widely used…

In order for biomass drying processes to be efficient, it is crucial to achieve the target residual water content within a close margin, since more conservative drying would result in a waste of energy. A method for a reliable estimation of…

最优化与控制 · 数学 2020-03-30 Marc Oliver Berner , Viktor Scherer , Martin Mönnigmann

State estimation in the presence of uncertain or data-driven noise distributions remains a critical challenge in control and robotics. Although the Kalman filter is the most popular choice, its performance degrades significantly when…

系统与控制 · 电气工程与系统科学 2025-04-01 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

Filtering in spatially-extended dynamical systems is a challenging problem with significant practical applications such as numerical weather prediction. Particle filters allow asymptotically consistent inference but require infeasibly large…

统计计算 · 统计学 2019-06-04 Matthew M. Graham , Alexandre H. Thiery

Outliers can contaminate the measurement process of many nonlinear systems, which can be caused by sensor errors, model uncertainties, change in ambient environment, data loss or malicious cyber attacks. When the extended Kalman filter…

系统与控制 · 计算机科学 2019-04-02 Huazhen Fang , Mulugeta A. Haile , Yebin Wang
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