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In a recent methodological paper, we showed how to learn chaotic dynamics along with the state trajectory from sequentially acquired observations, using local ensemble Kalman filters. Here, we more systematically investigate the possibility…

Machine Learning · Statistics 2022-10-19 Quentin Malartic , Alban Farchi , Marc Bocquet

In this article, we introduce decentralized Kalman filters for linear quadratic deep structured teams. The agents in deep structured teams are coupled in dynamics, costs and measurements through a set of linear regressions of the states and…

Multiagent Systems · Computer Science 2021-10-26 Jalal Arabneydi , Amir G. Aghdam

Simulation-based Dynamic Traffic Assignment models have important applications in real-time traffic management and control. The efficacy of these systems rests on the ability to generate accurate estimates and predictions of traffic states,…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Haizheng Zhang , Ravi Seshadri , A. Arun Prakash , Constantinos Antoniou , Francisco C. Pereira , Moshe Ben-Akiva

Inconsistency issue is one crucial challenge for the performance of extended Kalman filter (EKF) based methods for state estimation problems, which is mainly affected by the discrepancy of observability between the EKF model and the…

Robotics · Computer Science 2024-12-17 Yang Song , Liang Zhao , Shoudong Huang

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

Numerical Analysis · Mathematics 2016-09-21 Claudia Schillings , Andrew M. Stuart

Recent years have witnessed a growing interest in tracking algorithms that augment Kalman Filters (KFs) with Deep Neural Networks (DNNs). By transforming KFs into trainable deep learning models, one can learn from data to reliably track a…

Signal Processing · Electrical Eng. & Systems 2025-06-19 Yehonatan Dahan , Guy Revach , Jindrich Dunik , Nir Shlezinger

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

Methodology · Statistics 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

Wireless sensor networks consist of sensor nodes that are physically distributed over different locations. Spatial filtering procedures exploit the spatial correlation across these sensor signals to fuse them into a filtered signal…

Signal Processing · Electrical Eng. & Systems 2022-11-04 Cem Ates Musluoglu , Alexander Bertrand

Given a stationary state-space model that relates a sequence of hidden states and corresponding measurements or observations, Bayesian filtering provides a principled statistical framework for inferring the posterior distribution of the…

Machine Learning · Statistics 2022-12-01 Michael C. Burkhart

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

Statistics Theory · Mathematics 2026-05-27 Hans Reimann , Sebastian Reich

This paper addresses distributed state estimation for multi-agent systems with local and relative measurements, motivated by cooperative localization problems in which the global state dimension scales with the size of the network. We…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Nicola De Carli , Nicola Bastianello , Dimos V. Dimarogonas

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

The paper studies the problem of filtering a discrete-time linear system observed by a network of sensors. The sensors share a common communication medium to the estimator and transmission is bit and power budgeted. Under the assumption of…

Information Theory · Computer Science 2009-10-07 S. Kar , B. Sinopoli , J. M. F. Moura

This paper focuses on designing a consistent and efficient filter for map-based visual-inertial localization. First, we propose a new Lie group with its algebra, based on which a novel invariant extended Kalman filter (invariant EKF) is…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yang Song , Shoudong Huang , Rong Xiong , Yue Wang

The unscented Kalman filter is a nonlinear estimation algorithm commonly used in navigation applications. The prediction of the mean and covariance matrix is crucial to the stable behavior of the filter. This prediction is done by…

Robotics · Computer Science 2025-12-16 Amit Levy , Itzik Klein

Distributed systems frequently encounter consistency violation faults (cvfs), where nodes operate on outdated or inaccurate data, adversely affecting convergence and overall system performance. This study presents a machine learning-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Kamal Giri , Amit Garu

The Distributed Adaptive Signal Fusion (DASF) framework is a meta-algorithm for computing data-driven spatial filters in a distributed sensing platform with limited bandwidth and computational resources, such as a wireless sensor network.…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Charles Hovine , Alexander Bertrand

The sustainability of modern cities highly depends on efficient water distribution management, including effective pressure control and leak detection and localization. Accurate information about the network hydraulic state is therefore…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Luis Romero-Ben , Paul Irofti , Florin Stoican , Vicenç Puig

State estimation is critical to control systems, especially when the states cannot be directly measured. This paper presents an approximate optimal filter, which enables to use policy iteration technique to obtain the steady-state gain in…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Kaiming Tang , Shengbo Eben Li , Yuming Yin , Yang Guan , Jingliang Duan , Wenhan Cao , Jie Li

A modification scheme to the ensemble Kalman filter (EnKF) is introduced based on the concept of the unscented transform (Julier et al., 2000; Julier and Uhlmann, 2004), which therefore will be called the ensemble unscented Kalman filter…

Atmospheric and Oceanic Physics · Physics 2009-11-30 X. Luo , I. M. Moroz
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