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Online convex optimization (OCO) is a powerful tool for learning sequential data, making it ideal for high precision control applications where the disturbances are arbitrary and unknown in advance. However, the ability of OCO-based…

系统与控制 · 电气工程与系统科学 2024-05-14 Joyce Lai , Peter Seiler

We study the problem of online convex optimization (OCO) under unknown linear constraints that are either static, or stochastically time-varying. For this problem, we introduce an algorithm that we term Optimistically Safe OCO (OSOCO) and…

机器学习 · 计算机科学 2025-07-16 Spencer Hutchinson , Tianyi Chen , Mahnoosh Alizadeh

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…

系统与控制 · 电气工程与系统科学 2025-05-27 Tore Gude , Marta Anna Zagorowska , Lars Struen Imsland

We present the first theoretical guarantees for zero constraint violation in Online Convex Optimization (OCO) across all rounds, addressing dynamic constraint changes. Unlike existing approaches in constrained OCO, which allow for…

机器学习 · 计算机科学 2025-05-02 Bassel Hamoud , Ilnura Usmanova , Kfir Y. Levy

In this paper, we propose a novel predictive safety filter that is robust to bounded perturbations and is implemented in an even-triggered fashion to reduce online computation. The proposed safety filter extends upon existing work to reject…

系统与控制 · 电气工程与系统科学 2024-04-29 Wenceslao Shaw Cortez , Jan Drgona , Draguna Vrabie , Mahantesh Halappanavar

This paper addresses Online Convex Optimization (OCO) problems where the constraints have additive perturbations that (i) vary over time and (ii) are not known at the time to make a decision. Perturbations may not be i.i.d. generated and…

最优化与控制 · 数学 2019-06-04 Víctor Valls , George Iosifidis , Douglas J. Leith , Leandros Tassiulas

In the past few years, Online Convex Optimization (OCO) has received notable attention in the control literature thanks to its flexible real-time nature and powerful performance guarantees. In this paper, we propose new step-size rules and…

最优化与控制 · 数学 2023-01-18 Pedro Zattoni Scroccaro , Arman Sharifi Kolarijani , Peyman Mohajerin Esfahani

A well-studied generalization of the standard online convex optimization (OCO) framework is constrained online convex optimization (COCO). In COCO, on every round, a convex cost function and a convex constraint function are revealed to the…

机器学习 · 计算机科学 2024-10-29 Abhishek Sinha , Rahul Vaze

The integration of distributed energy resources (DERs) into sub-transmission systems has enabled new opportunities for flexibility provision in ancillary services such as frequency and voltage support, as well as congestion management. This…

系统与控制 · 电气工程与系统科学 2025-06-17 Florian Klein-Helmkamp , Tina Möllemann , Irina Zettl , Andreas Ulbig

In this paper, we investigate the framework of Online Convex Optimization (OCO) for online learning. OCO offers a very powerful online learning framework for many applications. In this context, we study a specific framework of OCO called…

机器学习 · 计算机科学 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

The dynamic competition against intelligent jammer systems presents a significant challenge to modern radar. Traditional active anti-jamming strategy learning methods often suffer from low sample efficiency and fail to fully exploit the…

信号处理 · 电气工程与系统科学 2026-04-14 Liangqi Liu , Wenqiang Pu , Yingru Li , Zhi-Quan Luo

Online convex optimization (OCO) with time-varying constraints is a critical framework for sequential decision-making in dynamic networked systems, where learners must minimize cumulative loss while satisfying regions of feasibility that…

机器学习 · 计算机科学 2026-03-17 Xiufeng Liu , Qian Chen , Zhijin Wang , Ruyu Liu

We study Online Convex Optimization (OCO) with adversarial constraints, where an online algorithm must make sequential decisions to minimize both convex loss functions and cumulative constraint violations. We focus on a setting where the…

机器学习 · 统计学 2025-03-14 Jordan Lekeufack , Michael I. Jordan

We study the problem of Online Convex Optimization (OCO) with memory, which allows loss functions to depend on past decisions and thus captures temporal effects of learning problems. In this paper, we introduce dynamic policy regret as the…

机器学习 · 计算机科学 2023-08-16 Peng Zhao , Yu-Hu Yan , Yu-Xiang Wang , Zhi-Hua Zhou

Motivated by the stringent safety requirements that are often present in real-world applications, we study a safe online convex optimization setting where the player needs to simultaneously achieve sublinear regret and zero constraint…

机器学习 · 计算机科学 2024-07-17 Spencer Hutchinson , Mahnoosh Alizadeh

Ensuring safety of nonlinear systems under model uncertainty and external disturbances is crucial, especially for real-world control tasks. Predictive methods such as robust model predictive control (RMPC) require solving nonconvex…

系统与控制 · 电气工程与系统科学 2023-11-14 Zeyang Li , Chuxiong Hu , Weiye Zhao , Changliu Liu

In this paper, we provide a novel contraction-theoretic approach to analyze two-time scale systems, including those commonly encountered in Online Feedback Optimization (OFO). Our framework endows these systems with several robustness…

系统与控制 · 电气工程与系统科学 2024-09-06 Liliaokeawawa Cothren , Francesco Bullo , Emiliano Dall'Anese

We study the problem of safe online convex optimization, where the action at each time step must satisfy a set of linear safety constraints. The goal is to select a sequence of actions to minimize the regret without violating the safety…

机器学习 · 计算机科学 2021-11-16 Sapana Chaudhary , Dileep Kalathil

Optimization is an essential part of power grid operation and lately, Online Optimization methods have gained traction. One such method is Online Feedback Optimization (OFO) which uses measurements from the grid as feedback to iteratively…

系统与控制 · 电气工程与系统科学 2023-08-11 Lukas Ortmann , Christian Rubin , Alessandro Scozzafava , Janick Lehmann , Saverio Bolognani , Florian Dörfler

With the increase in data availability, it has been widely demonstrated that neural networks (NN) can capture complex system dynamics precisely in a data-driven manner. However, the architectural complexity and nonlinearity of the NNs make…

系统与控制 · 电气工程与系统科学 2023-08-29 Shaoru Chen , Kong Yao Chee , Nikolai Matni , M. Ani Hsieh , George J. Pappas
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