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We consider 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 an online controller which minimizes regret against the best…

机器学习 · 计算机科学 2021-02-03 Gautam Goel , Babak Hassibi

We consider the problem of controlling an unknown linear dynamical system under adversarially changing convex costs and full feedback of both the state and cost function. We present the first computationally-efficient algorithm that attains…

机器学习 · 计算机科学 2022-06-06 Asaf Cassel , Alon Cohen , Tomer Koren

In the online non-stochastic control problem, an agent sequentially selects control inputs for a linear dynamical system when facing unknown and adversarially selected convex costs and disturbances. A common metric for evaluating control…

最优化与控制 · 数学 2025-04-24 Vijeth Hebbar , Cédric Langbort

In this work we consider the online control of a known linear dynamic system with adversarial disturbance and adversarial controller cost. The goal in online control is to minimize the regret, defined as the difference between cumulative…

最优化与控制 · 数学 2021-10-15 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

We study the control of a linear dynamical system with adversarial disturbances (as opposed to statistical noise). The objective we consider is one of regret: we desire an online control procedure that can do nearly as well as that of a…

机器学习 · 计算机科学 2019-02-26 Naman Agarwal , Brian Bullins , Elad Hazan , Sham M. Kakade , Karan Singh

We consider the problem of online control of systems with time-varying linear dynamics. This is a general formulation that is motivated by the use of local linearization in control of nonlinear dynamical systems. To state meaningful…

机器学习 · 计算机科学 2022-02-15 Paula Gradu , Elad Hazan , Edgar Minasyan

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller

This paper studies the online optimal control problem with time-varying convex stage costs for a time-invariant linear dynamical system, where a finite lookahead window of accurate predictions of the stage costs are available at each time.…

最优化与控制 · 数学 2019-10-23 Yingying Li , Xin Chen , Na Li

We study optimal regret bounds for control in linear dynamical systems under adversarially changing strongly convex cost functions, given the knowledge of transition dynamics. This includes several well studied and fundamental frameworks…

机器学习 · 计算机科学 2019-09-12 Naman Agarwal , Elad Hazan , Karan Singh

This paper studies online nonstochastic control problems with adversarial and static constraints. We propose online nonstochastic control algorithms that achieve both sublinear regret and sublinear adversarial constraint violation while…

机器学习 · 计算机科学 2023-02-07 Xin Liu , Zixian Yang , Lei Ying

In this paper, we propose a learning approach to analyze dynamic systems with asymmetric information structure. Instead of adopting a game theoretic setting, we investigate an online quadratic optimization problem driven by system noises…

最优化与控制 · 数学 2018-11-05 Cheng Tan , Wing Shing Wong

This paper addresses the distributed online control problem over a network of linear time-invariant (LTI) systems (with possibly unknown dynamics) in the presence of adversarial perturbations. There exists a global network cost that is…

最优化与控制 · 数学 2023-10-06 Ting-Jui Chang , Shahin Shahrampour

We consider the problem of controlling an unknown linear dynamical system in the presence of (nonstochastic) adversarial perturbations and adversarial convex loss functions. In contrast to classical control, the a priori determination of an…

机器学习 · 计算机科学 2020-01-22 Elad Hazan , Sham M. Kakade , Karan Singh

We consider measurement-feedback control in linear dynamical systems from the perspective of regret minimization. Unlike most prior work in this area, we focus on the problem of designing an online controller which competes with the optimal…

系统与控制 · 电气工程与系统科学 2021-06-24 Gautam Goel , Babak Hassibi

This paper studies the problem of controlling linear dynamical systems subject to point-wise-in-time constraints. We present an algorithm similar to online gradient descent, that can handle time-varying and a priori unknown convex cost…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller

Regret minimization is treated as the golden rule in the traditional study of online learning. However, regret minimization algorithms tend to converge to the static optimum, thus being suboptimal for changing environments. To address this…

机器学习 · 计算机科学 2020-02-07 Lijun Zhang , Shiyin Lu , Tianbao Yang

We consider algorithms for "smoothed online convex optimization" problems, a variant of the class of online convex optimization problems that is strongly related to metrical task systems. Prior literature on these problems has focused on…

数据结构与算法 · 计算机科学 2015-08-18 Lachlan L. H. Andrew , Siddharth Barman , Katrina Ligett , Minghong Lin , Adam Meyerson , Alan Roytman , Adam Wierman

We study the problem of multi-agent control of a dynamical system with known dynamics and adversarial disturbances. Our study focuses on optimal control without centralized precomputed policies, but rather with adaptive control policies for…

最优化与控制 · 数学 2022-07-27 Udaya Ghai , Udari Madhushani , Naomi Leonard , Elad Hazan

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…

最优化与控制 · 数学 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

We consider the problem of controlling an unknown linear dynamical system under a stochastic convex cost and full feedback of both the state and cost function. We present a computationally efficient algorithm that attains an optimal…

最优化与控制 · 数学 2022-06-23 Asaf Cassel , Alon Cohen , Tomer Koren
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