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Accurate modeling is crucial in many engineering and scientific applications, yet obtaining a reliable process model for complex systems is often challenging. To address this challenge, we propose a novel framework, reservoir computing with…

Machine Learning · Computer Science 2025-08-08 Kumar Anurag , Kasra Azizi , Francesco Sorrentino , Wenbin Wan

The unscented Kalman filter (UKF) is a commonly used algorithm capable of estimating the states of nonlinear dynamic systems. It carefully chooses a set of sample points, called sigma points that capture the nonlinear system states…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Amit Levy , Itzik Klein

Velocity estimation is of great importance in autonomous racing. Still, existing solutions are characterized by limited accuracy, especially in the case of aggressive driving or poor generalization to unseen road conditions. To address…

Robotics · Computer Science 2024-08-29 Jan Węgrzynowski , Grzegorz Czechmanowski , Piotr Kicki , Krzysztof Walas

In this paper, in order to enhance the numerical stability of the unscented Kalman filter (UKF) used for power system dynamic state estimation, a new UKF with guaranteed positive semidifinite estimation error covariance (UKF-GPS) is…

Optimization and Control · Mathematics 2016-08-03 Junjian Qi , Kai Sun , Jianhui Wang , Hui Liu

Heterogeneous sensor setups may entail measurements recorded at varying sampling frequencies, commonly known as multi-rate data. For system identification and state estimation with such data, existing studies mostly focus on data fusion…

Other Statistics · Statistics 2025-09-25 Dhiraj Ghosh , Adrita Kundu , Suparno Mukhopadhyay

In this paper, we present a UKF-PF based hybrid nonlinear filter for space object tracking. Estimating the state and its associated uncertainty, also known as filtering is paramount to the tracking process. The periodicity of the Keplerian…

Dynamical Systems · Mathematics 2014-09-30 Dilshad Raihan A. V. , Suman Chakravorty

Dynamic operation of biological processes, such as anaerobic digestion (AD), requires reliable process monitoring to guarantee stable operating conditions at all times. Unscented Kalman filters (UKF) are an established tool for nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Simon Hellmann , Terrance Wilms , Stefan Streif , Sören Weinrich

The Unscented Kalman Filter (UKF) is a ubiquitous tool for nonlinear state estimation; however, its performance is limited by the static parameterization of the Unscented Transform (UT). Conventional weighting schemes, governed by fixed…

Machine Learning · Computer Science 2026-03-05 Kenan Majewski , Michał Modzelewski , Marcin Żugaj , Piotr Lichota

Accurate state estimation of large-scale lithium-ion battery packs is necessary for the advanced control of batteries, which could potentially increase their lifetime through e.g. reconfiguration. To tackle this problem, an enhanced…

Systems and Control · Computer Science 2017-09-25 Luis D. Couto , Michel Kinnaert

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks…

Robotics · Computer Science 2026-03-31 Batu Candan , Simone Servadio

Accurate estimation of power system dynamics is very important for the enhancement of power system reliability, resilience, security, and stability of power system. With the increasing integration of inverter-based distributed energy…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Narayan Bhusal , Mukesh Gautam

Behavioral Foundation Models (BFMs) proved successful in producing policies for arbitrary tasks in a zero-shot manner, requiring no test-time training or task-specific fine-tuning. Among the most promising BFMs are the ones that estimate…

Machine Learning · Computer Science 2026-05-05 Maksim Bobrin , Ilya Zisman , Alexander Nikulin , Vladislav Kurenkov , Dmitry Dylov

This paper develops the theoretical framework and the equations of a new robust Generalized Maximum-likelihood-type Unscented Kalman Filter (GM-UKF) that is able to suppress observation and innovation outliers while filtering out…

Statistics Theory · Mathematics 2020-06-02 Junbo Zhao , Lamine Mili

This paper presents a neural network-based Unscented Kalman Filter (UKF) to estimate and track the pose (i.e., position and orientation) of a known, noncooperative, tumbling target spacecraft in a close-proximity rendezvous scenario. The…

Robotics · Computer Science 2023-08-16 Tae Ha Park , Simone D'Amico

In the realm of Cyber-Physical System (CPS), accurately identifying attacks without detailed knowledge of the system's parameters remains a major challenge. When it comes to Advanced Driver Assistance Systems (ADAS), identifying the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Shuhao Bian , Milad Farsi , Nasser L. Azad , Chris Hobbs

Unscented Kalman Filters (UKFs) have become popular in the research community. Most UKFs work only with Euclidean systems, but in many scenarios it is advantageous to consider systems with state-variables taking values on Riemannian…

Optimization and Control · Mathematics 2018-06-29 Henrique M. T. Menegaz , João Y. Ishihara , Hugo T. M. Kussaba

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

Detailed dynamical systems' models used in the life sciences may include hundreds of state variables and many input parameters, often with physical meaning. Therefore, efficient and unique input parameter identification, from experimental…

Quantitative Methods · Quantitative Biology 2023-06-29 Harry Saxton , Xu Xu , Ian Halliday , Torsten Schenkel

Data-driven models of dynamical systems require extensive amounts of training data. For many practical applications, gathering sufficient data is not feasible due to cost or safety concerns. This work uses the Subset Extended Kalman Filter…

Machine Learning · Computer Science 2026-03-04 Joshua E. Hammond , Tyler A. Soderstrom , Brian A. Korgel , Michael Baldea

Rapid advances in designing cognitive and counter-adversarial systems have motivated the development of inverse Bayesian filters. In this setting, a cognitive 'adversary' tracks its target of interest via a stochastic framework such as a…

Optimization and Control · Mathematics 2024-05-02 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay
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