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This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

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

A stable square-root approach has been recently proposed for the unscented Kalman filter (UKF) and fifth-degree cubature Kalman filter (5D-CKF) as well as for the mixed-type methods consisting of the extended Kalman filter (EKF) time update…

Optimization and Control · Mathematics 2023-12-06 Maria V. Kulikova , Gennady Yu. Kulikov

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

Optimization and Control · Mathematics 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

Computing the optimal solution to a spatial filtering problems in a Wireless Sensor Network can incur large bandwidth and computational requirements if an approach relying on data centralization is used. The so-called distributed adaptive…

Signal Processing · Electrical Eng. & Systems 2023-03-01 Charles Hovine , Alexander Bertrand

Accurate and stable state estimation is critical for battery management. Although dual Kalman filtering can jointly estimate states and parameters, the strong coupling between filters may cause divergence under large initialization errors…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Feng Guo , Guangdi Hu , Keyi Liao , Luis D. Couto , Khiem Trad , Ru Hong , Hamid Hamed , Mohammadhosein Safari

LiDAR odometry is a pivotal technology in the fields of autonomous driving and autonomous mobile robotics. However, most of the current works focus on nonlinear optimization methods, and still existing many challenges in using the…

Robotics · Computer Science 2024-07-03 Wenlu Yu , Jie Xu , Chengwei Zhao , Lijun Zhao , Thien-Minh Nguyen , Shenghai Yuan , Mingming Bai , Lihua Xie

This paper studies the distributed state estimation in sensor network, where $m$ sensors are deployed to infer the $n$-dimensional state of a linear time-invariant (LTI) Gaussian system. By a lossless decomposition of optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Jiaqi Yan , Xu Yang , Yilin Mo , Keyou You

Federated learning faces severe communication bottlenecks due to the high dimensionality of model updates. Communication compression with contractive compressors (e.g., Top-K) is often preferable in practice but can degrade performance…

Machine Learning · Computer Science 2025-06-04 Rustem Islamov , Yarden As , Ilyas Fatkhullin

In this paper, we derive a new Kalman filter with probabilistic data association between measurements and states. We formulate a variational inference problem to approximate the posterior density of the state conditioned on the measurement…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Hanwen Cao , George J. Pappas , Nikolay Atanasov

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

This paper is concerned with optimal control problems for control systems in continuous time, and interacting particle system methods designed to construct approximate control solutions. Particular attention is given to the linear quadratic…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Anant Joshi , Amirhossein Taghvaei , Prashant G. Mehta , Sean P. Meyn

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Alan Yang , Stephen Boyd

We develop novel integrated learning and optimization (ILO) methodologies to solve economic dispatch (ED) and DC optimal power flow (DCOPF) problems for better economic operation. The optimization problem for ED is formulated with load…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Imran Pervez , Ricardo Pinto Lima , Omar Knio

Given a linear dynamical system, we consider the problem of selecting (at design-time) an optimal set of sensors (subject to certain budget constraints) to minimize the trace of the steady state error covariance matrix of the Kalman filter.…

Optimization and Control · Mathematics 2018-03-29 Lintao Ye , Sandip Roy , Shreyas Sundaram

This work introduces a new, distributed implementation of the Ensemble Kalman Filter (EnKF) that allows for non-sequential assimilation of large datasets in high-dimensional problems. The traditional EnKF algorithm is computationally…

Machine Learning · Statistics 2023-11-23 Cédric Travelletti , Jörg Franke , David Ginsbourger , Stefan Brönnimann

A novel long-lived distributed problem, called Team Formation (TF), is introduced together with a message- and time-efficient randomized algorithm. The problem is defined over the asynchronous model with a complete communication graph,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Yuval Emek , Shay Kutten , Ido Rafael , Gadi Taubenfeld

In this paper, we address the distributed filtering and prediction of time-varying random fields represented by linear time-invariant (LTI) dynamical systems. The field is observed by a sparsely connected network of agents/sensors…

Information Theory · Computer Science 2016-10-14 Subhro Das , José M. F. Moura

The Derivative-free nonlinear Kalman Filter is proposed for state estimation and fault diagnosis in distributed parameter systems and particularly in dynamical systems described by partial differential equations of the nonlinear wave type.…

Systems and Control · Computer Science 2013-11-05 Gerasimos G. Rigatos

The literature dealing with data-driven analysis and control problems has significantly grown in the recent years. Most of the recent literature deals with linear time-invariant systems in which the uncertainty (if any) is assumed to be…

Optimization and Control · Mathematics 2020-05-12 Daniele Alpago , Florian Dorfler , John Lygeros
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