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We address the problem of learning to control an unknown nonlinear dynamical system through sequential interactions. Motivated by high-stakes applications in which mistakes can be catastrophic, such as robotics and healthcare, we study…

机器学习 · 计算机科学 2025-04-14 James Wang , Bruce D. Lee , Ingvar Ziemann , Nikolai Matni

This paper considers the stability of online learning algorithms and its implications for learnability (bounded regret). We introduce a novel quantity called {\em forward regret} that intuitively measures how good an online learning…

机器学习 · 计算机科学 2012-11-28 Ankan Saha , Prateek Jain , Ambuj Tewari

We consider the problem of learning to play a repeated multi-agent game with an unknown reward function. Single player online learning algorithms attain strong regret bounds when provided with full information feedback, which unfortunately…

机器学习 · 计算机科学 2019-10-29 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We consider online learning for episodic stochastically constrained Markov decision processes (CMDPs), which plays a central role in ensuring the safety of reinforcement learning. Here the loss function can vary arbitrarily across the…

机器学习 · 计算机科学 2021-10-19 Shuang Qiu , Xiaohan Wei , Zhuoran Yang , Jieping Ye , Zhaoran Wang

We study reinforcement learning in MDPs whose transition function is stochastic at most steps but may behave adversarially at a fixed subset of $\Lambda$ steps per episode. This model captures environments that are stable except at a few…

机器学习 · 计算机科学 2026-02-11 Ofir Schlisselberg , Tal Lancewicki , Yishay Mansour

Regret minimization in streaming multi-armed bandits (MABs) has been studied extensively in recent years. In the single-pass setting with $K$ arms and $T$ trials, a regret lower bound of $\Omega(T^{2/3})$ has been proved for any algorithm…

机器学习 · 计算机科学 2023-06-06 Chen Wang

Regret minimization has proved to be a versatile tool for tree-form sequential decision making and extensive-form games. In large two-player zero-sum imperfect-information games, modern extensions of counterfactual regret minimization (CFR)…

计算机科学与博弈论 · 计算机科学 2021-03-09 Gabriele Farina , Tuomas Sandholm

We study the multi-player stochastic multiarmed bandit (MAB) problem in an abruptly changing environment. We consider a collision model in which a player receives reward at an arm if it is the only player to select the arm. We design two…

机器学习 · 统计学 2018-12-14 Lai Wei , Vaibhav Srivastava

We consider a decentralized multiplayer game, played over $T$ rounds, with a leader-follower hierarchy described by a directed acyclic graph. For each round, the graph structure dictates the order of the players and how players observe the…

机器学习 · 计算机科学 2023-01-30 Johan Östman , Ather Gattami , Daniel Gillblad

In this work we provide provable regret guarantees for an online meta-learning control algorithm in an iterative control setting, where in each iteration the system to be controlled is a linear deterministic system that is different and…

机器学习 · 计算机科学 2022-02-07 Deepan Muthirayan , Pramod Khargonekar

This study considers the partial monitoring problem with $k$-actions and $d$-outcomes and provides the first best-of-both-worlds algorithms, whose regrets are favorably bounded both in the stochastic and adversarial regimes. In particular,…

机器学习 · 计算机科学 2022-10-11 Taira Tsuchiya , Shinji Ito , Junya Honda

Recent developments in digital platforms have highlighted the prevalence of open systems, where agents can arrive and depart over time. While bandit learning in open systems has recently received initial attention, existing work imposes…

机器学习 · 计算机科学 2026-05-08 Mengfan Xu

Bilateral trade models the problem of intermediating between two rational agents -- a seller and a buyer -- both characterized by a private valuation for an item they want to trade. We study the online learning version of the problem, in…

计算机科学与博弈论 · 计算机科学 2024-09-04 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Federico Fusco

We study the adversarial bandit problem with composite anonymous delayed feedback. In this setting, losses of an action are split into $d$ components, spreading over consecutive rounds after the action is chosen. And in each round, the…

机器学习 · 计算机科学 2022-04-29 Zongqi Wan , Xiaoming Sun , Jialin Zhang

In modern advertising platforms, learning algorithms are deployed by budget-constrained bidders to maximize their accumulated value. These algorithms often offer classical utility guarantees like no-regret, i.e., the agent's utility is at…

计算机科学与博弈论 · 计算机科学 2026-02-23 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Yishay Mansour , Eva Tardos

Decentralized Online Learning (online learning in decentralized networks) attracts more and more attention, since it is believed that Decentralized Online Learning can help the data providers cooperatively better solve their online problems…

机器学习 · 计算机科学 2019-05-30 Yawei Zhao , Chen Yu , Peilin Zhao , Hanlin Tang , Shuang Qiu , Ji Liu

Existing studies on provably efficient algorithms for Markov games (MGs) almost exclusively build on the "optimism in the face of uncertainty" (OFU) principle. This work focuses on a different approach of posterior sampling, which is…

机器学习 · 计算机科学 2022-10-06 Wei Xiong , Han Zhong , Chengshuai Shi , Cong Shen , Tong Zhang

In this paper we consider the problem of learning the optimal policy for uncontrolled restless bandit problems. In an uncontrolled restless bandit problem, there is a finite set of arms, each of which when pulled yields a positive reward.…

最优化与控制 · 数学 2015-01-30 Cem Tekin , Mingyan Liu

We study the adversarial multi-armed bandit problem in a setting where the player incurs a unit cost each time he switches actions. We prove that the player's $T$-round minimax regret in this setting is $\widetilde{\Theta}(T^{2/3})$,…

机器学习 · 计算机科学 2013-11-21 Ofer Dekel , Jian Ding , Tomer Koren , Yuval Peres

In this tutorial article, we give an overview of new challenges and representative results on distributed no-regret learning in multi-agent systems modeled as repeated unknown games. Four emerging game characteristics---dynamicity,…

计算机科学与博弈论 · 计算机科学 2020-02-24 Xiao Xu , Qing Zhao