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In repeated games, strategies are often evaluated by their ability to guarantee the performance of the single best action that is selected in hindsight, a property referred to as \emph{Hannan consistency}, or \emph{no-regret}. However, the…

计算机科学与博弈论 · 计算机科学 2025-01-24 Ludovico Crippa , Yonatan Gur , Bar Light

We study the model-based undiscounted reinforcement learning for partially observable Markov decision processes (POMDPs). The oracle we consider is the optimal policy of the POMDP with a known environment in terms of the average reward over…

机器学习 · 计算机科学 2022-07-19 Yi Xiong , Ningyuan Chen , Xuefeng Gao , Xiang Zhou

Feature-based dynamic pricing is an increasingly popular model of setting prices for highly differentiated products with applications in digital marketing, online sales, real estate and so on. The problem was formally studied as an online…

机器学习 · 计算机科学 2021-10-26 Jianyu Xu , Yu-Xiang Wang

This paper considers the problem of distributed bandit online convex optimization with time-varying coupled inequality constraints. This problem can be defined as a repeated game between a group of learners and an adversary. The learners…

最优化与控制 · 数学 2019-12-10 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Karl H. Johansson , Tianyou Chai

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

We consider the problem of simultaneous learning in stochastic games with many players in the finite-horizon setting. While the typical target solution for a stochastic game is a Nash equilibrium, this is intractable with many players. We…

计算机科学与博弈论 · 计算机科学 2022-10-27 William Brown

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

The problem of matching markets has been studied for a long time in the literature due to its wide range of applications. Finding a stable matching is a common equilibrium objective in this problem. Since market participants are usually…

机器学习 · 计算机科学 2023-07-21 Fang Kong , Shuai Li

Online gradient descent (OGD) is well known to be doubly optimal under strong convexity or monotonicity assumptions: (1) in the single-agent setting, it achieves an optimal regret of $\Theta(\log T)$ for strongly convex cost functions; and…

计算机科学与博弈论 · 计算机科学 2024-04-01 Michael I. Jordan , Tianyi Lin , Zhengyuan Zhou

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

We study online learning and equilibrium computation in games with polyhedral decision sets, a property shared by both normal-form games and extensive-form games (EFGs), when the learning agent is restricted to using a best-response oracle.…

计算机科学与博弈论 · 计算机科学 2023-12-07 Darshan Chakrabarti , Gabriele Farina , Christian Kroer

Non-stationary online learning has drawn much attention in recent years. Despite considerable progress, dynamic regret minimization has primarily focused on convex functions, leaving the functions with stronger curvature (e.g., squared or…

机器学习 · 计算机科学 2025-06-13 Yu-Jie Zhang , Peng Zhao , Masashi Sugiyama

We study the sample complexity of online reinforcement learning in the general \hzyrev{non-episodic} setting of nonlinear dynamical systems with continuous state and action spaces. Our analysis accommodates a large class of dynamical…

机器学习 · 计算机科学 2026-03-02 Michael Muehlebach , Zhiyu He , Michael I. Jordan

Reinforcement learning from human feedback (RLHF) replaces hard-to-specify rewards with pairwise trajectory preferences, yet regret-oriented theory often assumes that preference labels are generated consistently from a single ground-truth…

机器学习 · 计算机科学 2026-04-03 Ming Shi , Yingbin Liang , Ness B. Shroff , Ananthram Swami

We study episodic reinforcement learning under unknown adversarial corruptions in both the rewards and the transition probabilities of the underlying system. We propose new algorithms which, compared to the existing results in (Lykouris et…

机器学习 · 计算机科学 2021-03-09 Yifang Chen , Simon S. Du , Kevin Jamieson

We show that natural classes of regularized learning algorithms with a form of recency bias achieve faster convergence rates to approximate efficiency and to coarse correlated equilibria in multiplayer normal form games. When each player in…

计算机科学与博弈论 · 计算机科学 2015-12-14 Vasilis Syrgkanis , Alekh Agarwal , Haipeng Luo , Robert E. Schapire

This paper examines the convergence of no-regret learning in games with continuous action sets. For concreteness, we focus on learning via "dual averaging", a widely used class of no-regret learning schemes where players take small steps…

最优化与控制 · 数学 2018-01-17 Panayotis Mertikopoulos , Zhengyuan Zhou

Multi-armed Bandit motivates methods with provable upper bounds on regret and also the counterpart lower bounds have been extensively studied in this context. Recently, Multi-agent Multi-armed Bandit has gained significant traction in…

机器学习 · 计算机科学 2023-08-17 Mengfan Xu , Diego Klabjan

We present a new algorithm based on posterior sampling for learning in Constrained Markov Decision Processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2024-05-30 Danil Provodin , Maurits Kaptein , Mykola Pechenizkiy

We study the problem of online learning with dynamics, where a learner interacts with a stateful environment over multiple rounds. In each round of the interaction, the learner selects a policy to deploy and incurs a cost that depends on…

机器学习 · 计算机科学 2020-12-04 Kush Bhatia , Karthik Sridharan