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One of the modern research lines in econometrics studies focuses on translating a wide variety of structural econometric models into their state-space form, which allows for efficient unknown dynamic system state and parameter estimations…

Optimization and Control · Mathematics 2024-02-20 Maria V. Kulikova , Julia V. Tsyganova , Gennady Yu. Kulikov

Real-time nonlinear Bayesian filtering algorithms are overwhelmed by data volume, velocity and increasing complexity of computational models. In this paper, we propose a novel ensemble based nonlinear Bayesian filtering approach which only…

Computation · Statistics 2019-06-05 Xiao Lin , Gabriel Terejanu

We introduce cooperative sequential state space estimation in the domain of augmented complex statistics, whereby nodes in a network collaborate locally to estimate noncircular complex signals. For rigour, a distributed augmented (widely…

Systems and Control · Computer Science 2013-11-19 Dahir H. Dini , Sithan Kanna , Danilo P. Mandic

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

Compressed Estimation approaches, such as the Generalised Compressed Kalman Filter (GCKF), reduce the computational cost and complexity of high dimensional and high frequency data assimilation problems; usually without sacrificing…

Systems and Control · Computer Science 2018-11-21 Karan Narula , Jose Guivant

This work presents a scalable control framework based on nonlinear Model Predictive Control for high-dimensional dynamical systems. The proposed approach addresses the key challenges of model scalability and partial observability by…

Distributed state estimation (DSE) is considered as a more robust and reliable alternative for centralized state estimation (CSE) in power system. Especially, taking into account the future power grid, so called smart grid in which…

Systems and Control · Electrical Eng. & Systems 2021-04-12 Sajjad Asefi , Elena Gryazina , Helder Leite

A Schmidt filter is a modification of the Kalman filter that allows to append system parameters as states and considers their uncertainty effect in the filtering process without attempting to estimate such parameters. The states that are…

Systems and Control · Electrical Eng. & Systems 2022-08-29 J Humberto Ramos

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

Optimization and Control · Mathematics 2014-10-02 Gyorgy Hexner , Haim Weiss

Cyber-physical systems are found in many applications such as power networks, manufacturing processes, and air and ground transportation systems. Maintaining security of these systems under cyber attacks is an important and challenging…

Systems and Control · Computer Science 2016-06-13 Young Hwan Chang , Qie Hu , Claire J. Tomlin

The Kalman filter is an algorithm for the estimation of hidden variables in dynamical systems under linear Gauss-Markov assumptions with widespread applications across different fields. Recently, its Bayesian interpretation has received a…

Neurons and Cognition · Quantitative Biology 2021-11-23 Manuel Baltieri , Takuya Isomura

This paper is concerned with the problem of distributed estimation for time-varying interconnected dynamic systems with arbitrary coupling structures. To guarantee the robustness of the designed estimators, novel distributed stability…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yuchen Zhang , Bo Chen , Li Yu , Daniel W. C. Ho

This paper describes a method for the online state estimation of systems described by a general class of linear noncausal time-varying difference descriptor equations subject to uncertainties. The method is based on the notions of a linear…

Optimization and Control · Mathematics 2007-11-09 Serhiy M. Zhuk

Common filters are usually based on the linear approximation of the optimal minimum mean square error estimator. The Extended and Unscented Kalman Filters handle nonlinearity through linearization and unscented transformation, respectively,…

Information Theory · Computer Science 2025-06-09 Simone Servadio , Chiran Cherian

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

Systems and Control · Electrical Eng. & Systems 2025-07-11 Abd El Mageed Hag Elamin Khalid

Data assimilation is the task to combine evolution models and observational data in order to produce reliable predictions. In this paper, we focus on ensemble-based recursive data assimilation problems. Our main contribution is a hybrid…

Numerical Analysis · Mathematics 2016-02-26 Nawinda Chustagulprom , Sebastian Reich , Maria Reinhardt

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

Traditional filtering algorithms for state estimation -- such as classical Kalman filtering, unscented Kalman filtering, and particle filters - show performance degradation when applied to nonlinear systems whose uncertainty follows…

Machine Learning · Statistics 2026-01-13 Luke S. Lagunowich , Guoxiang Grayson Tong , Daniele E. Schiavazzi

Kalman filter is a best linear unbiased state estimator. It is also comprehensible from the point view of the Bayesian estimation. However, this note gives a detailed derivation of Kalman filter from the mutual information perspective for…

Information Theory · Computer Science 2021-01-05 Yarong Luo , Jianlang Hu , Chi Guo

Inference and simulation in the context of high-dimensional dynamical systems remain computationally challenging problems. Some form of dimensionality reduction is required to make the problem tractable in general. In this paper, we propose…

Machine Learning · Statistics 2024-01-04 Jonathan Schmidt , Philipp Hennig , Jörg Nick , Filip Tronarp
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