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We investigate nonlinear prediction/regression in an online setting and introduce a hybrid model that effectively mitigates, via a joint mechanism through a state space formulation, the need for domain-specific feature engineering issues of…

Machine Learning · Statistics 2023-09-20 Mustafa E. Aydın , Arda Fazla , Suleyman S. Kozat

Trajectory estimation of maneuvering objects is applied in numerous tasks like navigation, path planning and visual tracking. Many previous works get impressive results in the strictly controlled condition with accurate prior statistics and…

Information Theory · Computer Science 2020-07-02 Weipeng Li , Xiaogang Yang , Ruitao Lu , Jiwei Fan , Tao Zhang , Chuan He

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

This paper proposes a novel framework for the distributionally robust input and state estimation (DRISE) for autonomous vehicles operating under model uncertainties and measurement outliers. The proposed framework improves the input and…

Optimization and Control · Mathematics 2025-04-15 Kasra Azizi , Kumar Anurag , Wenbin Wan

Reliable control and state estimation of differential drive robots (DDR) operating in dynamic and uncertain environments remains a challenge, particularly when system dynamics are partially unknown and sensor measurements are prone to…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Amos Alwala , Yuchen Hu , Gabriel da Silva Lima , Wallace Moreira Bessa

A concurrent learning (CL)-based parameter estimator is developed to identify the unknown parameters in a linearly parameterized uncertain control-affine nonlinear system. Unlike state-of-the-art CL techniques that assume knowledge of the…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Ben Reish , Girish Chowdhary , Warren E. Dixon

An inference method for Gaussian process augmented state-space models are presented. This class of grey-box models enables domain knowledge to be incorporated in the inference process to guarantee a minimum of performance, still they are…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Anton Kullberg , Isaac Skog , Gustaf Hendeby

Conformal inference is a statistical method used to construct prediction sets for point predictors, providing reliable uncertainty quantification with probability guarantees. This method utilizes historical labeled data to estimate the…

Machine Learning · Computer Science 2024-11-05 Xiaoyi Su , Zhixin Zhou , Rui Luo

This paper presents a safe feedback control framework for nonlinear control-affine systems with parametric uncertainty by leveraging adaptive dynamic programming (ADP) with barrier-state augmentation. The developed ADP-based controller…

Optimization and Control · Mathematics 2026-01-05 Trivikram Satharasi , Tochukwu E. Ogri , Muzaffar Qureshi , Kyle Volle , Rushikesh Kamalapurkar

Disease progression models are instrumental in predicting individual-level health trajectories and understanding disease dynamics. Existing models are capable of providing either accurate predictions of patients prognoses or clinically…

Machine Learning · Computer Science 2018-10-25 Ahmed M. Alaa , Mihaela van der Schaar

This paper studies an optimization-based state estimation approach for discrete-time nonlinear systems under bounded process and measurement disturbances. We first introduce a full information estimator (FIE), which is given as a solution…

Dynamical Systems · Mathematics 2015-03-18 Wuhua Hu , Lihua Xie , Keyou You

Estimating intervention effects in dynamical systems is crucial for outcome optimization. In medicine, such interventions arise in physiological regulation (e.g., cardiovascular system under fluid administration) and pharmacokinetics, among…

Machine Learning · Computer Science 2026-02-13 Tomer Meir , Ori Linial , Danny Eytan , Uri Shalit

Physics-guided neural networks (PGNN) is an effective tool that combines the benefits of data-driven modeling with the interpretability and generalization of underlying physical information. However, for a classical PGNN, the penalization…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Yuhan Liu , Roland Tóth , Maarten Schoukens

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

A hybrid observer is described for estimating the state of a system of the form dot x=Ax, y_i=C_ix, i=1,...,m. The system's state x is simultaneously estimated by m agents assuming agent i senses y_i and receives appropriately defined data…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-11 Lili Wang , Ji Liu , A. Stephen Morse

The internal state of a dynamical system, a set of variables that defines its evolving configuration, is often hidden and cannot be fully measured, posing a central challenge for real-time monitoring and control. While observers are…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Yuan Zhang , Ziyuan Luo , Wenxuan Xu , Jiayu Wu , Wenqi Cao , Ranbo Cheng , Tingting Qin , Yuanqing Xia , Mohamed Darouach , Aming Li , Tyrone Fernando

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

Optimization and Control · Mathematics 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

This work presents an approach for control, state-estimation and learning model (hyper)parameters for robotic manipulators. It is based on the active inference framework, prominent in computational neuroscience as a theory of the brain,…

Robotics · Computer Science 2021-03-31 Mohamed Baioumy , Paul Duckworth , Bruno Lacerda , Nick Hawes

State estimation is a cornerstone of power system control-center operations, and its robust operation is increasingly a cyber-physical security concern as modern grids become more digitalized and communication-intensive. Neural…

Machine Learning · Computer Science 2026-04-28 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael