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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…

Applications · Statistics 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…

Machine Learning · Statistics 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…

Statistics Theory · Mathematics 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…

Computation · Statistics 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…

Systems and Control · Electrical Eng. & Systems 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…

Systems and Control · Electrical Eng. & Systems 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,…

Computation · Statistics 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,…

Methodology · Statistics 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…

Methodology · Statistics 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…

Information Theory · Computer Science 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…

Statistics Theory · Mathematics 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.…

Systems and Control · Electrical Eng. & Systems 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…

Systems and Control · Electrical Eng. & Systems 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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 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…

Computation · Statistics 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…

Systems and Control · Computer Science 2019-04-02 Huazhen Fang , Mulugeta A. Haile , Yebin Wang
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