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Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

最优化与控制 · 数学 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

We present an efficient and practical (polynomial time) algorithm for online prediction in unknown and partially observed linear dynamical systems (LDS) under stochastic noise. When the system parameters are known, the optimal linear…

机器学习 · 计算机科学 2020-10-13 Paria Rashidinejad , Jiantao Jiao , Stuart Russell

In this paper, we study a special bandit setting of online stochastic linear optimization, where only one-bit of information is revealed to the learner at each round. This problem has found many applications including online advertisement…

机器学习 · 计算机科学 2015-09-28 Lijun Zhang , Tianbao Yang , Rong Jin , Zhi-Hua Zhou

Restless bandit problems assume time-varying reward distributions of the arms, which adds flexibility to the model but makes the analysis more challenging. We study learning algorithms over the unknown reward distributions and prove a…

机器学习 · 计算机科学 2019-10-15 Young Hun Jung , Marc Abeille , Ambuj Tewari

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…

机器学习 · 计算机科学 2022-01-25 Dheeraj Baby , Yu-Xiang Wang

Regret analysis is challenging in Multi-Agent Reinforcement Learning (MARL) primarily due to the dynamical environments and the decentralized information among agents. We attempt to solve this challenge in the context of decentralized…

机器学习 · 计算机科学 2020-01-29 Seyed Mohammad Asghari , Yi Ouyang , Ashutosh Nayyar

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

机器学习 · 计算机科学 2016-09-20 Arthur Flajolet , Patrick Jaillet

In this paper, we develop a unified framework for analyzing the tracking error and dynamic regret of inexact online optimization methods under a variety of settings. Specifically, we leverage the quadratic constraint approach from control…

最优化与控制 · 数学 2023-03-03 Usman Syed , Emiliano Dall'Anese , Bin Hu

In learning theory, the performance of an online policy is commonly measured in terms of the static regret metric, which compares the cumulative loss of an online policy to that of an optimal benchmark in hindsight. In the definition of…

信息论 · 计算机科学 2022-08-23 Ativ Joshi , Abhishek Sinha

We extend and combine several tools of the literature to design fast, adaptive, anytime and scale-free online learning algorithms. Scale-free regret bounds must scale linearly with the maximum loss, both toward large losses and toward very…

机器学习 · 计算机科学 2024-10-22 Laurent Orseau , Marcus Hutter

We design and analyze algorithms for online linear optimization that have optimal regret and at the same time do not need to know any upper or lower bounds on the norm of the loss vectors. Our algorithms are instances of the Follow the…

机器学习 · 计算机科学 2016-12-15 Francesco Orabona , Dávid Pál

We consider a collaborative online learning paradigm, wherein a group of agents connected through a social network are engaged in playing a stochastic multi-armed bandit game. Each time an agent takes an action, the corresponding reward is…

机器学习 · 计算机科学 2016-07-12 Ravi Kumar Kolla , Krishna Jagannathan , Aditya Gopalan

Maintaining predictive accuracy in non-stationary environments requires online model selection to adapt autonomously to unknown distribution shifts. However, existing tuning-free algorithms face a fundamental trade-off between robustness…

机器学习 · 计算机科学 2026-05-27 Kei Takemura , Ryuta Matsuno , Keita Sakuma

We investigate the problem of online learning, which has gained significant attention in recent years due to its applicability in a wide range of fields from machine learning to game theory. Specifically, we study the online optimization of…

机器学习 · 计算机科学 2021-09-29 Kaan Gokcesu , Hakan Gokcesu

In this paper we provide provable regret guarantees for an online meta-learning receding horizon control algorithm in an iterative control setting. We consider the setting where, in each iteration the system to be controlled is a linear…

系统与控制 · 电气工程与系统科学 2022-11-02 Deepan Muthirayan , Pramod P. Khargonekar

We address the question of repeatedly learning linear classifiers against agents who are strategically trying to game the deployed classifiers, and we use the Stackelberg regret to measure the performance of our algorithms. First, we show…

计算机科学与博弈论 · 计算机科学 2020-11-17 Yiling Chen , Yang Liu , Chara Podimata

In online learning, the dynamic regret metric chooses the reference (optimal) solution that may change over time, while the typical (static) regret metric assumes the reference solution to be constant over the whole time horizon. The…

机器学习 · 计算机科学 2019-09-04 Yawei Zhao , Shuang Qiu , Ji Liu

Adaptively controlling and minimizing regret in unknown dynamical systems while controlling the growth of the system state is crucial in real-world applications. In this work, we study the problem of stabilization and regret minimization of…

系统与控制 · 电气工程与系统科学 2022-02-10 Jafar Abbaszadeh Chekan , Kamyar Azizzadenesheli , Cedric Langbort

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

最优化与控制 · 数学 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

We investigate the online nonsubmodular optimization with delayed feedback in the bandit setting, where the loss function is $\alpha$-weakly DR-submodular and $\beta$-weakly DR-supermodular. Previous work has established an…

机器学习 · 计算机科学 2025-08-04 Sifan Yang , Yuanyu Wan , Lijun Zhang