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Achieving sample efficiency in online episodic reinforcement learning (RL) requires optimally balancing exploration and exploitation. When it comes to a finite-horizon episodic Markov decision process with $S$ states, $A$ actions and…

机器学习 · 计算机科学 2022-10-18 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi

We design and implement an adaptive experiment (a ``contextual bandit'') to learn a targeted treatment assignment policy, where the goal is to use a participant's survey responses to determine which charity to expose them to in a donation…

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

机器学习 · 计算机科学 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

Crucial performance metrics of a caching algorithm include its ability to quickly and accurately learn a popularity distribution of requests. However, a majority of work on analytical performance analysis focuses on hit probability after an…

网络与互联网体系结构 · 计算机科学 2020-04-02 Archana Bura , Desik Rengarajan , Dileep Kalathil , Srinivas Shakkottai , Jean-Francois Chamberland-Tremblay

In this paper, we propose and study opportunistic reinforcement learning - a new variant of reinforcement learning problems where the regret of selecting a suboptimal action varies under an external environmental condition known as the…

机器学习 · 计算机科学 2022-10-26 Xiaoxiao Wang , Nader Bouacida , Xueying Guo , Xin Liu

Policy learning in modern operations environments faces a fundamental tension between limited operational data and the large, often continuous, state and action spaces over which good decisions must be identified and deployed. We study…

最优化与控制 · 数学 2026-05-27 Shengbo Wang , Jose Blanchet , Peter Glynn

Linear structural causal models (SCMs) -- in which each observed variable is generated by a subset of the other observed variables as well as a subset of the exogenous sources -- are pervasive in causal inference and casual discovery.…

机器学习 · 计算机科学 2022-11-09 Yuqin Yang , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

Discounted-sum games provide a formal model for the study of reinforcement learning, where the agent is enticed to get rewards early since later rewards are discounted. When the agent interacts with the environment, she may regret her…

计算机科学与博弈论 · 计算机科学 2018-11-20 Michaël Cadilhac , Guillermo A. Pérez , Marie van den Bogaard

Model-free approaches for reinforcement learning (RL) and continuous control find policies based only on past states and rewards, without fitting a model of the system dynamics. They are appealing as they are general purpose and easy to…

机器学习 · 计算机科学 2018-10-09 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari

This work theoretically studies a ubiquitous reinforcement learning policy for controlling the canonical model of continuous-time stochastic linear-quadratic systems. We show that randomized certainty equivalent policy addresses the…

机器学习 · 计算机科学 2022-08-23 Mohamad Kazem Shirani Faradonbeh

We study Model Predictive Control (MPC) and propose a general analysis pipeline to bound its dynamic regret. The pipeline first requires deriving a perturbation bound for a finite-time optimal control problem. Then, the perturbation bound…

最优化与控制 · 数学 2022-10-25 Yiheng Lin , Yang Hu , Guannan Qu , Tongxin Li , Adam Wierman

We study episodic linear mixture MDPs with the unknown transition and adversarial rewards under full-information feedback, employing dynamic regret as the performance measure. We start with in-depth analyses of the strengths and limitations…

机器学习 · 计算机科学 2024-11-06 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

Continuous-time adaptive controllers for systems with a matched uncertainty often comprise an online parameter estimator and a corresponding parameterized controller to cancel the uncertainty. However, such methods are often impossible to…

系统与控制 · 电气工程与系统科学 2025-03-18 Aren Karapetyan , Efe C. Balta , Anastasios Tsiamis , Andrea Iannelli , John Lygeros

We consider the problem of controlling a Linear Quadratic Regulator (LQR) system over a finite horizon $T$ with fixed and known cost matrices $Q,R$, but unknown and non-stationary dynamics $\{A_t, B_t\}$. The sequence of dynamics matrices…

机器学习 · 计算机科学 2022-03-21 Yuwei Luo , Varun Gupta , Mladen Kolar

We investigate the problem of cumulative regret minimization for individual sequence prediction with respect to the best expert in a finite family of size K under limited access to information. We assume that in each round, the learner can…

统计理论 · 数学 2022-10-06 El Mehdi Saad , G. Blanchard

The combinatorial multi-armed bandit (CMAB) is a cornerstone of sequential decision-making framework, dominated by two algorithmic families: UCB-based and adversarial methods such as follow the regularized leader (FTRL) and online mirror…

机器学习 · 计算机科学 2025-12-30 Zichun Ye , Runqi Wang , Xutong Liu , Shuai Li

We study regret minimization in causal bandits under causal sufficiency where the underlying causal structure is not known to the agent. Previous work has focused on identifying the reward's parents and then applying classic bandit methods…

机器学习 · 计算机科学 2026-05-08 Mohammad Shahverdikondori , Jalal Etesami , Negar Kiyavash

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

Linear dynamical systems that obey stochastic differential equations are canonical models. While optimal control of known systems has a rich literature, the problem is technically hard under model uncertainty and there are hardly any…

系统与控制 · 电气工程与系统科学 2023-06-09 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

In this paper, we propose and analyze a new method for online linear quadratic regulator (LQR) control with a priori unknown time-varying cost matrices. The cost matrices are revealed sequentially with the potential for future values to be…

最优化与控制 · 数学 2023-02-22 Yitian Chen , Timothy L. Molloy , Tyler Summers , Iman Shames