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Non-stationary online learning has drawn much attention in recent years. In particular, dynamic regret and adaptive regret are proposed as two principled performance measures for online convex optimization in non-stationary environments. To…

Machine Learning · Computer Science 2025-09-10 Peng Zhao , Yan-Feng Xie , Lijun Zhang , Zhi-Hua Zhou

Learning to control an unknown dynamical system with respect to high-level temporal specifications is an important problem in control theory. We present the first regret-free online algorithm for learning a controller for linear temporal…

Artificial Intelligence · Computer Science 2025-06-09 Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani

We study the problem of uncertainty quantification via prediction sets, in an online setting where the data distribution may vary arbitrarily over time. Recent work develops online conformal prediction techniques that leverage regret…

Machine Learning · Computer Science 2023-02-16 Aadyot Bhatnagar , Huan Wang , Caiming Xiong , Yu Bai

Recently, several universal methods have been proposed for online convex optimization which can handle convex, strongly convex and exponentially concave cost functions simultaneously. However, most of these algorithms have been designed…

Machine Learning · Computer Science 2023-02-14 Arnold Salas

We propose a data-driven online convex optimization algorithm for controlling dynamical systems. In particular, the control scheme makes use of an initially measured input-output trajectory and behavioral systems theory which enable it to…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

Model Predictive Control (MPC) is a widely used technique for managing timevarying systems, supported by extensive theoretical analysis. While theoretical studies employing dynamic regret frameworks have established robust performance…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Nhat M. Nguyen

We study the framework of universal dynamic regret minimization with strongly convex losses. We answer an open problem in Baby and Wang 2021 by showing that in a proper learning setup, Strongly Adaptive algorithms can achieve the near…

Machine Learning · Computer Science 2022-01-25 Dheeraj Baby , Yu-Xiang Wang

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

Methodology · Statistics 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen

Motivated by applications to online learning in sparse estimation and Bayesian optimization, we consider the problem of online unconstrained nonsubmodular minimization with delayed costs in both full information and bandit feedback…

Machine Learning · Computer Science 2022-06-02 Tianyi Lin , Aldo Pacchiano , Yaodong Yu , Michael I. Jordan

In this paper, we study the dynamic regret of online linear quadratic regulator (LQR) control with time-varying cost functions and disturbances. We consider the case where a finite look-ahead window of cost functions and disturbances is…

Optimization and Control · Mathematics 2021-02-03 Runyu Zhang , Yingying Li , Na Li

We consider reinforcement learning (RL) in episodic MDPs with adversarial full-information reward feedback and unknown fixed transition kernels. We propose two model-free policy optimization algorithms, POWER and POWER++, and establish…

Machine Learning · Computer Science 2020-07-02 Yingjie Fei , Zhuoran Yang , Zhaoran Wang , Qiaomin Xie

In this work we address the problem of the online robust control of nonlinear dynamical systems perturbed by disturbance. We study the problem of attenuation of the total cost over a duration $T$ in response to the disturbances. We consider…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Deepan Muthirayan , Pramod P. Khargonekar

We address the problem of learning to control an unknown nonlinear dynamical system through sequential interactions. Motivated by high-stakes applications in which mistakes can be catastrophic, such as robotics and healthcare, we study…

Machine Learning · Computer Science 2025-04-14 James Wang , Bruce D. Lee , Ingvar Ziemann , Nikolai Matni

We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

Optimization and Control · Mathematics 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

Changepoint detection identifies times when the generative process of a time series changes, with applications in healthcare, cybersecurity, and finance. In multivariate settings, changes in cross-variable and temporal dependence are…

Methodology · Statistics 2026-05-11 Victor K. Khamesi , Edward A. K. Cohen , Niall M. Adams , Dean A. Bodenham

We consider estimation and control in linear time-varying dynamical systems from the perspective of regret minimization. Unlike most prior work in this area, we focus on the problem of designing causal estimators and controllers which…

Machine Learning · Computer Science 2021-06-24 Gautam Goel , Babak Hassibi

We consider systems that require timely monitoring of sources over a communication network, where the cost of delayed information is unknown, time-varying and possibly adversarial. For the single source monitoring problem, we design…

Networking and Internet Architecture · Computer Science 2021-05-31 Vishrant Tripathi , Eytan Modiano

We introduce an online convex optimization algorithm which utilizes projected subgradient descent with optimal adaptive learning rates. Our method provides second-order minimax-optimal dynamic regret guarantee (i.e. dependent on the sum of…

Optimization and Control · Mathematics 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

We study online control for continuous-time linear systems with finite sampling rates, where the objective is to design an online procedure that learns under non-stochastic noise and performs comparably to a fixed optimal linear controller.…

Optimization and Control · Mathematics 2025-06-10 Jingwei Li , Jing Dong , Can Chang , Baoxiang Wang , Jingzhao Zhang