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The Kalman filter (KF) is an optimal linear state estimator for linear systems, and numerous extensions, including the extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF), have been developed for…

系统与控制 · 电气工程与系统科学 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

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…

最优化与控制 · 数学 2025-09-10 Yuan Wu , Sicheng He

The Kalman filter (KF) is used in a variety of applications for computing the posterior distribution of latent states in a state space model. The model requires a linear relationship between states and observations. Extensions to the Kalman…

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

机器学习 · 计算机科学 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

The Kalman filter (KF) is a widely-used algorithm for tracking the latent state of a dynamical system from noisy observations. For systems that are well-described by linear Gaussian state space models, the KF minimizes the mean-squared…

信号处理 · 电气工程与系统科学 2022-10-13 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

Water treatment and liquid storage are the two plants implementing the hydraulic three-tank system. Maintaining certain levels is the critical scenario so that the systems run as desired. To deal with, the optimal linear control and the…

系统与控制 · 电气工程与系统科学 2026-04-07 Bambang L. Widjiantoro , Katherin Indriawati , Moh Kamalul Wafi

Kalman filtering is a powerful approach to adaptive filtering for various problems in signal processing. The frequency-domain adaptive Kalman filter (FDKF), based on the concept of the acoustic state space, provides a unifying solution to…

音频与语音处理 · 电气工程与系统科学 2025-01-29 Ernst Seidel , Gerald Enzner , Pejman Mowlaee , Tim Fingscheidt

State estimation of dynamical systems in real-time is a fundamental task in signal processing. For systems that are well-represented by a fully known linear Gaussian state space (SS) model, the celebrated Kalman filter (KF) is a low…

信号处理 · 电气工程与系统科学 2022-04-13 Guy Revach , Nir Shlezinger , Xiaoyong Ni , Adria Lopez Escoriza , Ruud J. G. van Sloun , Yonina C. Eldar

This article investigates the problem of data-driven state estimation for linear systems with both unknown system dynamics and noise covariances. We propose an Autocovariance Least-squares-based Data-driven Kalman Filter (ADKF), which…

系统与控制 · 电气工程与系统科学 2025-05-27 Suyang Hu , Xiaoxu Lyu , Peihu Duan , Dawei Shi , Ling Shi

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

计算机视觉与模式识别 · 计算机科学 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

Real-time control and estimation are pivotal for applications such as industrial automation and future healthcare. The realization of this vision relies heavily on efficient interactions with nonlinear systems. Therefore, Koopman learning,…

信息论 · 计算机科学 2025-12-19 Yutao Chen , Wei Chen

The Kalman filter has been adopted in acoustic echo cancellation due to its robustness to double-talk, fast convergence, and good steady-state performance. The performance of Kalman filter is closely related to the estimation accuracy of…

音频与语音处理 · 电气工程与系统科学 2022-11-01 Dong Yang , Fei Jiang , Wei Wu , Xuefei Fang , Muyong Cao

The Kalman Filter is a widely used approach for the linear estimation of dynamical systems and is frequently employed within nuclear and particle physics experiments for the reconstruction of charged particle trajectories, known as tracks.…

仪器与探测器 · 物理学 2025-03-04 Xiaocong Ai , Heather M. Gray , Andreas Salzburger , Nicholas Styles

Kalman Filter (KF) is widely used in various domains to perform sequential learning or variable estimation. In the context of autonomous vehicles, KF constitutes the core component of many Advanced Driver Assistance Systems (ADAS), such as…

机器人学 · 计算机科学 2020-12-17 Yuzhe Ma , Jon Sharp , Ruizhe Wang , Earlence Fernandes , Xiaojin Zhu

The Kalman filter (KF) is a widely-used algorithm for tracking dynamic systems that are captured by state space (SS) models. The need to fully describe a SS model limits its applicability under complex settings, e.g., when tracking based on…

信号处理 · 电气工程与系统科学 2023-04-21 Itay Buchnik , Damiano Steger , Guy Revach , Ruud J. G. van Sloun , Tirza Routtenberg , Nir Shlezinger

In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynamics is infinite dimensional, but linear. Using Extended…

动力系统 · 数学 2025-11-07 Diego Olguín , Axel Osses , Héctor Ramírez

We propose a Neural-Enhanced Distributed Kalman Filter (NDKF) for multi-sensor state estimation in nonlinear systems. Unlike traditional Kalman filters that rely on explicit analytical models and assume centralized fusion, NDKF leverages…

系统与控制 · 电气工程与系统科学 2026-03-17 Siavash Farzan , Bennett Parisi

The unscented Kalman filter is an algorithm capable of handling nonlinear scenarios. Uncertainty in process noise covariance may decrease the filter estimation performance or even lead to its divergence. Therefore, it is important to adjust…

机器人学 · 计算机科学 2026-03-03 Amit Levy , Itzik Klein

The particle filter (PF) and the ensemble Kalman filter (EnKF) are widely used for approximate inference in state-space models. From a Bayesian perspective, these algorithms represent the prior by an ensemble of particles and update it to…

统计方法学 · 统计学 2025-02-11 Chengxin Gong , Wei Lin , Cheng Zhang

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

机器学习 · 统计学 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad
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