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This work presents distributed algorithms for estimation of time-varying random fields over multi-agent/sensor networks. A network of sensors makes sparse and noisy local measurements of the dynamic field. Each sensor aims to obtain…

Information Theory · Computer Science 2017-01-11 Subhro Das , José M. F. Moura

We study a distributed Kalman filtering problem in which a number of nodes cooperate without central coordination to estimate a common state based on local measurements and data received from neighbors. This is typically done by running a…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Damián Marelli , Tianju Sui , Minyue Fu

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…

Machine Learning · Statistics 2016-08-31 Michael C. Burkhart , David M. Brandman , Carlos E. Vargas-Irwin , Matthew T. Harrison

We study state estimation for discrete-time linear stochastic systems under distributional ambiguity in the initial state, process noise, and measurement noise. We propose a noise-centric distributionally robust Kalman filter (DRKF) based…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

This paper studies the distributed state estimation problem for a class of discrete-time stochastic systems with nonlinear uncertain dynamics over time-varying topologies of sensor networks. An extended state vector consisting of the…

Systems and Control · Computer Science 2018-09-12 Xingkang He , Xiaocheng Zhang , Wenchao Xue , Haitao Fang

Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is particularly challenging when the state is high-dimensional and…

Machine Learning · Statistics 2021-07-21 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

Nowadays, with the development of multi-sensor networks, the distributed cubature Kalman filter is one of the well-known existing schemes for state estimation, for which the influence of the non-Gaussian noise, abnormal data, and…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu

In this dissertation, we investigate the issue of robust localization in swarms of heterogeneous mobile agents with multiple and time-varying sensing modalities. Our focus is the development of filter-based and decoupled estimators under…

Robotics · Computer Science 2024-08-23 Roland Jung

Wireless sensor networks (WSNs) represent a critical research domain within the Internet of Things (IoT) technology. The distributed Kalman filter (DKF) has garnered significant attention as an information fusion method for WSNs. However,…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Xuemei Mao , Gang Wang , Bei Peng , Jiacheng He , Kun Zhang , Song Gao , Jian Chen

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…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Suyang Hu , Xiaoxu Lyu , Peihu Duan , Dawei Shi , Ling Shi

The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been little analysis of its theoretical properties. Many of the algorithmic innovations…

Probability · Mathematics 2015-06-17 D. T. B. Kelly , K. J. H. Law , A. M. Stuart

The optimal fusion of estimates in a Distributed Kalman Filter (DKF) requires tracking of the complete network error covariance, problematic in terms of memory and communication. A scalable alternative is to fuse estimates under unknown…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

This study considers the data assimilation problem in coupled systems, which consists of two components (sub-systems) interacting with each other through certain coupling terms. A straightforward way to tackle the assimilation problem in…

Atmospheric and Oceanic Physics · Physics 2015-06-22 Xiaodong Luo , Ibrahim Hoteit

This paper is concerned with the problem of distributed Kalman filtering in a network of interconnected subsystems with distributed control protocols. We consider networks, which can be either homogeneous or heterogeneous, of linear…

Systems and Control · Computer Science 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

Applications · Statistics 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

This paper studies the convergence of the estimation error process and the characterization of the corresponding invariant measure in distributed Kalman filtering for potentially unstable and large linear dynamic systems. A gossip network…

Information Theory · Computer Science 2015-01-13 Di Li , Soummya Kar , Jose' M. F. Moura , H. Vincent Poor , Shuguang Cui

The robustness of the Kalman filter to double talk and its rapid convergence make it a popular approach for addressing acoustic echo cancellation (AEC) challenges. However, the inability to model nonlinearity and the need to tune control…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-27 Yixuan Zhang , Meng Yu , Hao Zhang , Dong Yu , DeLiang Wang

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

Sequential Bayesian filters in non-linear dynamic systems require the recursive estimation of the predictive and posterior distributions. This paper introduces a Bayesian filter called the adaptive kernel Kalman filter (AKKF). With this…

Signal Processing · Electrical Eng. & Systems 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

Methodology · Statistics 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson