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This paper proposes an Online Control-Informed Learning (OCIL) framework, which employs the well-established optimal control and state estimation techniques in the field of control to solve a broad class of learning tasks in an online…

Optimization and Control · Mathematics 2025-03-12 Zihao Liang , Tianyu Zhou , Zehui Lu , Shaoshuai Mou

Optimal Feedback Control (OFC) provides a theoretical framework for goal-directed movements, where the nervous system adjusts actions based on sensory feedback. In OFC, the central nervous system (CNS) not only reacts to stimuli but…

Neurons and Cognition · Quantitative Biology 2025-11-26 O. White , F. Buisseret , F. Dierick , N. Boulanger

Although there are many neural network (NN) algorithms for prediction and for control, and although methods for optimal estimation (including filtering and prediction) and for optimal control in linear systems were provided by Kalman in…

Neural and Evolutionary Computing · Computer Science 2008-05-29 Ralph Linsker

Balancing a bicycle is typical for the balance control humans perform as a part of a whole range of behaviors (walking, running, skating, skiing, etc.). This paper presents a general model of balance control and applies it to the balancing…

Neurons and Cognition · Quantitative Biology 2022-08-18 Eric Maris

Computational optimal feedback control (OFC) models in the sensorimotor control literature span a vast range of different implementations. Among the popular algorithms, finite-horizon, receding-horizon or infinite-horizon linear-quadratic…

Quantitative Methods · Quantitative Biology 2021-10-11 Justinas Česonis , David W. Franklin

The success of deep learning sparked interest in whether the brain learns by using similar techniques for assigning credit to each synaptic weight for its contribution to the network output. However, the majority of current attempts at…

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

The success of deep learning ignited interest in whether the brain learns hierarchical representations using gradient-based learning. However, current biologically plausible methods for gradient-based credit assignment in deep neural…

Neural and Evolutionary Computing · Computer Science 2022-06-23 Alexander Meulemans , Matilde Tristany Farinha , Maria R. Cervera , João Sacramento , Benjamin F. Grewe

This paper examines learning the optimal filtering policy, known as the Kalman gain, for a linear system with unknown noise covariance matrices using noisy output data. The learning problem is formulated as a stochastic policy optimization…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Shahriar Talebi , Amirhossein Taghvaei , Mehran Mesbahi

Achieving optimality in controlling physical systems is a profound challenge across diverse scientific and engineering fields, spanning neuromechanics, biochemistry, autonomous systems, economics, and beyond. Traditional solutions, relying…

Optimization and Control · Mathematics 2025-02-14 Tingli Hu , Sami Haddadin

In Online Continual Learning (OCL) a learning system receives a stream of data and sequentially performs prediction and training steps. Important challenges in OCL are concerned with automatic adaptation to the particular non-stationary…

Machine Learning · Computer Science 2024-11-11 Michalis K. Titsias , Alexandre Galashov , Amal Rannen-Triki , Razvan Pascanu , Yee Whye Teh , Jorg Bornschein

The unscented Kalman filter is an algorithm capable of handling nonlinear scenarios. Uncertainty in process noise covariance may decrease the filter estimation performance or even lead to its divergence. Therefore, it is important to adjust…

Robotics · Computer Science 2026-03-03 Amit Levy , Itzik Klein

This paper proposes a Safe Online Control-Informed Learning framework for safety-critical autonomous systems. The framework unifies optimal control, parameter estimation, and safety constraints into an online learning process. It employs an…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Tianyu Zhou , Zihao Liang , Zehui Lu , Shaoshuai Mou

This paper brings the concept of ``optimism" to the new and promising framework of online Non-stochastic Control (NSC). Namely, we study how NSC can benefit from a prediction oracle of unknown quality responsible for forecasting future…

Machine Learning · Computer Science 2024-08-27 Naram Mhaisen , George Iosifidis

This paper develops a persistently exciting input generating Online Feedback Optimization (OFO) controller that estimates the sensitivity of a process ensuring minimal deviations from the descent direction while converging. This eliminates…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Tore Gude , Marta Anna Zagorowska , Lars Struen Imsland

The optimal disturbance rejection control problem is considered for consensus tracking systems affected by external persistent disturbances and noise. Optimal estimated values of system states are obtained by recursive filtering for the…

Robotics · Computer Science 2012-05-09 Jian Yuan Wen-Xia Zhang , Zhou-Hai Zhou

The increasing penetration of distributed energy resources (DERs) adds variability as well as fast control capabilities to power networks. Dispatching the DERs based on local information to provide real-time optimal network operation is the…

Optimization and Control · Mathematics 2025-02-24 Heng Liang , Yujin Huang , Changhong Zhao

Online feedback optimization (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. When the plant consists of several interconnected…

Optimization and Control · Mathematics 2024-09-13 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler

We formulate the discrete-time inverse optimal control problem of inferring unknown parameters in the objective function of an optimal control problem from measurements of optimal states and controls as a nonlinear filtering problem. This…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Tian Zhao , Timothy L. Molloy

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

Machine Learning · Computer Science 2021-12-08 Gautam Goel , Babak Hassibi
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