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Explicit finite-sample statistical guarantees on model performance are an important ingredient in responsible machine learning. Previous work has focused mainly on bounding either the expected loss of a predictor or the probability that an…

Machine Learning · Computer Science 2024-03-07 Zhun Deng , Thomas P. Zollo , Jake C. Snell , Toniann Pitassi , Richard Zemel

Data driven models of dynamical systems help planners and controllers to provide more precise and accurate motions. Most model learning algorithms will try to minimize a loss function between the observed data and the model's predictions.…

Artificial Intelligence · Computer Science 2021-02-12 Clark Zhang , Santiago Paternain , Alejandro Ribeiro

Stochastic linearization is a method used in Quasilinear Control (QLC) to replace a nonlinearity by an equivalent gain and a bias, utilizing the statistical properties of random inputs. In this paper, the theory of stochastic linearization…

Dynamical Systems · Mathematics 2018-07-18 Sarnaduti Brahma , Hamid R. Ossareh

To cope with real-world dynamics, an intelligent system needs to incrementally acquire, update, accumulate, and exploit knowledge throughout its lifetime. This ability, known as continual learning, provides a foundation for AI systems to…

Machine Learning · Computer Science 2024-02-07 Liyuan Wang , Xingxing Zhang , Hang Su , Jun Zhu

Contemporary machine learning applications often involve classification tasks with many classes. Despite their extensive use, a precise understanding of the statistical properties and behavior of classification algorithms is still missing,…

Machine Learning · Computer Science 2020-11-17 Christos Thrampoulidis , Samet Oymak , Mahdi Soltanolkotabi

The strategy of pre-training a large model on a diverse dataset, then fine-tuning for a particular application has yielded impressive results in computer vision, natural language processing, and robotic control. This strategy has vast…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Bruce D. Lee , Anders Rantzer , Nikolai Matni

Autonomous learning has been a promising direction in control and robotics for more than a decade since data-driven learning allows to reduce the amount of engineering knowledge, which is otherwise required. However, autonomous…

Machine Learning · Statistics 2017-10-12 Marc Peter Deisenroth , Dieter Fox , Carl Edward Rasmussen

The focus of this paper is on linear system identification in the setting where it is known that the underlying partially-observed linear dynamical system lies within a finite collection of known candidate models. We first consider the…

Optimization and Control · Mathematics 2024-04-15 Haoyuan Sun , Ali Jadbabaie

Learning-enabled control systems have demonstrated impressive empirical performance on challenging control problems in robotics, but this performance comes at the cost of reduced transparency and lack of guarantees on the safety or…

Robotics · Computer Science 2022-12-21 Charles Dawson , Sicun Gao , Chuchu Fan

To maintain the desired quality of a product or service it is necessary to monitor the process that results in the product or service. This monitoring method is called Statistical Process Management, or Statistical Process Control. It is in…

Methodology · Statistics 2019-01-15 W. J. Conover , Victor G. Tercero , Alvaro E. Cordero-Franco

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Konstantinos Gatsis , George J. Pappas

We study supervisory switching control for partially-observed linear dynamical systems. The objective is to identify and deploy the best controller for the unknown system by periodically selecting among a collection of $N$ candidate…

Optimization and Control · Mathematics 2026-03-19 Haoyuan Sun , Ali Jadbabaie

This paper studies a discrete-time stochastic control problem with linear quadratic criteria over an infinite-time horizon. We focus on a class of control systems whose system matrices are associated with random parameters involving unknown…

Optimization and Control · Mathematics 2022-01-17 Zhaorong Zhang , Juanjuan Xu , Xun Li

The problem of statistical learning is to construct an accurate predictor of a random variable as a function of a correlated random variable on the basis of an i.i.d. training sample from their joint distribution. Allowable predictors are…

Information Theory · Computer Science 2009-04-30 Maxim Raginsky

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi

We prove a general existence result in stochastic optimal control in discrete time where controls take values in conditional metric spaces, and depend on the current state and the information of past decisions through the evolution of a…

Optimization and Control · Mathematics 2018-12-19 Asgar Jamneshan , Michael Kupper , José Miguel Zapata

Learning is a complex dynamical process shaped by a range of interconnected decisions. Careful design of hyperparameter schedules for artificial neural networks or efficient allocation of cognitive resources by biological learners can…

Disordered Systems and Neural Networks · Physics 2025-07-11 Francesca Mignacco , Francesco Mori

This study presents a Bayesian learning perspective towards model predictive control algorithms. High-level frameworks have been developed separately in the earlier studies on Bayesian learning and sampling-based model predictive control.…

Machine Learning · Computer Science 2022-03-14 Namhoon Cho , Seokwon Lee , Hyo-Sang Shin , Antonios Tsourdos

The design of controllers from data for nonlinear systems is a challenging problem. In a recent paper, De Persis, Rotulo and Tesi, "Learning controllers from data via approximate nonlinearity cancellation," IEEE Transactions on Automatic…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Xiaoyan Dai , Claudio De Persis , Nima Monshizadeh , Pietro Tesi

Statistical linearization has recently seen a particular surge of interest as a numerically cheap method for robust control of stochastic differential equations. Although it has already been successfully applied to control complex…

Optimization and Control · Mathematics 2023-07-06 Riccardo Bonalli , Clara Leparoux , Bruno Hérissé , Frédéric Jean