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State estimation of dynamical systems from noisy observations is a fundamental task in many applications. It is commonly addressed using the linear Kalman filter (KF), whose performance can significantly degrade in the presence of outliers…

信号处理 · 电气工程与系统科学 2024-08-27 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

In non-linear filtering, it is traditional to compare non-linear architectures such as neural networks to the standard linear Kalman Filter (KF). We observe that this mixes the evaluation of two separate components: the non-linear…

机器学习 · 计算机科学 2023-10-03 Ido Greenberg , Netanel Yannay , Shie Mannor

The iterative ensemble Kalman filter (IEnKF) is widely used in inverse problems to estimate system parameters from limited observations. However, the IEnKF, when applied to nonlinear systems, can be plagued by poor convergence. Here we…

最优化与控制 · 数学 2019-10-11 Jiacheng Wu , Jian-Xun Wang , Shawn C. Shadden

The kinematics of many systems encountered in robotics, mechatronics, and avionics are naturally posed on homogeneous spaces; that is, their state lies in a smooth manifold equipped with a transitive Lie group symmetry. This paper proposes…

系统与控制 · 电气工程与系统科学 2026-01-19 Pieter van Goor , Tarek Hamel , Robert Mahony

In conventional distributed Kalman filtering, employing diffusion strategies, each node transmits its state estimate to all its direct neighbors in each iteration. In this paper we propose a partial diffusion Kalman filter (PDKF) for state…

系统与控制 · 计算机科学 2017-05-26 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Wael Bazzi , Saeid Sanei

A novel dynamic mode decomposition (DMD) method based on a Kalman filter is proposed. This paper explains the fast algorithm of the proposed Kalman filter DMD (KFDMD) in combination with truncated proper orthogonal decomposition for…

流体动力学 · 物理学 2018-11-09 Taku Nonomura , Hisaichi Shibata , Ryoji Takaki

A digital twin (DT) monitors states of the physical twin (PT) counterpart and provides a number of benefits such as advanced visualizations, fault detection capabilities, and reduced maintenance cost. It is the ability to be able to detect…

信号处理 · 电气工程与系统科学 2023-05-02 Hao Feng , Cláudio Gomes , Peter Gorm Larsen

The traditional Kalman filter (KF) is widely applied in control systems, but it relies heavily on the accuracy of the system model and noise parameters, leading to potential performance degradation when facing inaccuracies. To address this…

系统与控制 · 电气工程与系统科学 2024-04-08 Jiaming Wang , Xinyu Geng , Jun Xu

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

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 many applications of state estimation, the process noise is colored; this case is addressed by applying the standard Kalman filter (KF) to dynamics that are augmented with the coloring dynamics. The present paper considers the case where…

系统与控制 · 电气工程与系统科学 2026-04-24 Mohammad Almuhaihi , Dennis Bernstein

Hilbert-Huang transform (HHT) has drawn great attention in power system analysis due to its capability to deal with dynamic signal and provide instantaneous characteristics such as frequency, damping, and amplitudes. However, its…

信号处理 · 电气工程与系统科学 2017-11-15 Zhe Yu , Di Shi , Haifeng Li , Yishen Wang , Zhehan Yi , Zhiwei Wang

The extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

机器人学 · 计算机科学 2025-03-11 Nadav Cohen , Itzik Klein

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

Ensemble Kalman filter (EnKF) has been widely used in state estimation and parameter estimation for the dynamic system where observational data is obtained sequentially in time. To reduce uncertainty and accelerate posterior inference, a…

数值分析 · 数学 2018-11-14 Yuming Ba , Lijian Jiang , Na Ou

Ensemble Kalman filter (EnKF) is an important data assimilation method for high dimensional geophysical systems. Efficient implementation of EnKF in practice often involves the localization technique, which updates each component using only…

概率论 · 数学 2018-04-04 Xin T. Tong

The Kalman Filter (KF) parameters are traditionally determined by noise estimation, since under the KF assumptions, the state prediction errors are minimized when the parameters correspond to the noise covariance. However, noise estimation…

机器学习 · 计算机科学 2022-07-04 Ido Greenberg , Shie Mannor , Netanel Yannay

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

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

Have you ever felt miserable because of a sudden whipsaw in the price that triggered an unfortunate trade? In an attempt to remove this noise, technical analysts have used various types of moving averages (simple, exponential, adaptive one…

交易与市场微观结构 · 定量金融 2018-08-13 Eric Benhamou