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In this paper, we develop a provably correct optimal control strategy for a finite deterministic transition system. By assuming that penalties with known probabilities of occurrence and dynamics can be sensed locally at the states of the…

机器人学 · 计算机科学 2013-03-15 Mária Svoreňová , Ivana Černá , Calin Belta

This text presents an introduction to an emerging paradigm in control of dynamical systems and differentiable reinforcement learning called online nonstochastic control. The new approach applies techniques from online convex optimization…

机器学习 · 计算机科学 2026-04-28 Elad Hazan , Karan Singh

We consider model selection for sequential decision making in stochastic environments with bandit feedback, where a meta-learner has at its disposal a pool of base learners, and decides on the fly which action to take based on the policies…

机器学习 · 计算机科学 2024-01-24 Aldo Pacchiano , Christoph Dann , Claudio Gentile

Motivated by alternating learning dynamics in two-player games, a recent work by Cevher et al.(2024) shows that $o(\sqrt{T})$ alternating regret is possible for any $T$-round adversarial Online Linear Optimization (OLO) problem, and left as…

机器学习 · 计算机科学 2025-06-19 Soumita Hait , Ping Li , Haipeng Luo , Mengxiao Zhang

In repeated interaction problems with adaptive agents, our objective often requires anticipating and optimizing over the space of possible agent responses. We show that many problems of this form can be cast as instances of online…

机器学习 · 计算机科学 2024-06-28 William Brown , Christos Papadimitriou , Tim Roughgarden

Online optimization has recently opened avenues to study optimal control for time-varying cost functions that are unknown in advance. Inspired by this line of research, we study the distributed online linear quadratic regulator (LQR)…

最优化与控制 · 数学 2022-02-08 Ting-Jui Chang , Shahin Shahrampour

We study various discrete nonlinear combinatorial optimization problems in an online learning framework. In the first part, we address the question of whether there are negative results showing that getting a vanishing (or even vanishing…

数据结构与算法 · 计算机科学 2020-06-24 Evripidis Bampis , Dimitris Christou , Bruno Escoffier , Nguyen Kim Thang

In this paper, we address the efficient implementation of moving horizon state estimation of constrained discrete-time linear systems. We propose a novel iteration scheme which employs a proximity-based formulation of the underlying…

最优化与控制 · 数学 2021-11-09 Meriem Gharbi , Bahman Gharesifard , Christian Ebenbauer

The problem of regret minimization for online adaptive control of linear-quadratic systems is studied. In this problem, the true system transition parameters (matrices $A$ and $B$) are unknown, and the objective is to design and analyze…

最优化与控制 · 数学 2022-10-31 Mohammad Akbari , Bahman Gharesifard , Tamas Linder

We present an online learning analysis of minimax adaptive control for the case where the uncertainty includes a finite set of linear dynamical systems. Precisely, for each system inside the uncertainty set, we define the model-based regret…

系统与控制 · 电气工程与系统科学 2023-09-12 Venkatraman Renganathan , Andrea Iannelli , Anders Rantzer

The goal of a learner in standard online learning is to maintain an average loss close to the loss of the best-performing single function in some class. In many real-world problems, such as rating or ranking items, there is no single best…

机器学习 · 计算机科学 2013-03-18 Edward Moroshko , Koby Crammer

In this paper, we study the problem of efficient online reinforcement learning in the infinite horizon setting when there is an offline dataset to start with. We assume that the offline dataset is generated by an expert but with unknown…

机器学习 · 计算机科学 2024-02-05 Dengwang Tang , Rahul Jain , Botao Hao , Zheng Wen

In this work, we propose a control scheme for linear systems subject to pointwise in time state and input constraints that aims to minimize time-varying and a priori unknown cost functions. The proposed controller is based on online convex…

系统与控制 · 电气工程与系统科学 2024-12-02 Marko Nonhoff , Johannes Köhler , Matthias A. Müller

We study online control of time-varying linear systems with unknown dynamics in the nonstochastic control model. At a high level, we demonstrate that this setting is \emph{qualitatively harder} than that of either unknown time-invariant or…

机器学习 · 计算机科学 2022-02-17 Edgar Minasyan , Paula Gradu , Max Simchowitz , Elad Hazan

Lifelong reinforcement learning provides a promising framework for developing versatile agents that can accumulate knowledge over a lifetime of experience and rapidly learn new tasks by building upon prior knowledge. However, current…

机器学习 · 计算机科学 2015-05-22 Haitham Bou Ammar , Rasul Tutunov , Eric Eaton

Online kernel selection is a fundamental problem of online kernel methods.In this paper,we study online kernel selection with memory constraint in which the memory of kernel selection and online prediction procedures is limited to a fixed…

机器学习 · 计算机科学 2025-03-25 Junfan Li , Shizhong Liao

We investigate the hardness of online reinforcement learning in fixed horizon, sparse linear Markov decision process (MDP), with a special focus on the high-dimensional regime where the ambient dimension is larger than the number of…

机器学习 · 计算机科学 2021-02-11 Botao Hao , Tor Lattimore , Csaba Szepesvári , Mengdi Wang

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

机器学习 · 计算机科学 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

Smoothed online combinatorial optimization considers a learner who repeatedly chooses a combinatorial decision to minimize an unknown changing cost function with a penalty on switching decisions in consecutive rounds. We study smoothed…

机器学习 · 计算机科学 2023-01-18 Kai Wang , Zhao Song , Georgios Theocharous , Sridhar Mahadevan

In this paper we propose a framework for solving constrained online convex optimization problem. Our motivation stems from the observation that most algorithms proposed for online convex optimization require a projection onto the convex set…

机器学习 · 计算机科学 2012-10-01 Mehrdad Mahdavi , Rong Jin , Tianbao Yang