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In this paper, we study a class of revenue management problems where the decision maker aims to maximize the total revenue subject to budget constraints on multiple type of resources over a finite horizon. At each time, a new…

最优化与控制 · 数学 2022-03-18 Guanting Chen , Xiaocheng Li , Yinyu Ye

Online linear programming plays an important role in both revenue management and resource allocation, and recent research has focused on developing efficient first-order online learning algorithms. Despite the empirical success of…

机器学习 · 统计学 2025-01-07 Wenzhi Gao , Dongdong Ge , Chenyu Xue , Chunlin Sun , Yinyu Ye

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

We consider reinforcement learning for continuous-time Markov decision processes (MDPs) in the infinite-horizon, average-reward setting. In contrast to discrete-time MDPs, a continuous-time process moves to a state and stays there for a…

机器学习 · 计算机科学 2024-07-03 Xuefeng Gao , Xun Yu Zhou

We consider the problem of non-stationary reinforcement learning (RL) in the infinite-horizon average-reward setting. We model it by a Markov Decision Process with time-varying rewards and transition probabilities, with a variation budget…

机器学习 · 计算机科学 2025-04-24 Neharika Jali , Eshika Pathak , Pranay Sharma , Guannan Qu , Gauri Joshi

We investigate online convex optimization in non-stationary environments and choose dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

机器学习 · 计算机科学 2024-04-09 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

We present a novel algorithm that efficiently computes near-optimal deterministic policies for constrained reinforcement learning (CRL) problems. Our approach combines three key ideas: (1) value-demand augmentation, (2) action-space…

机器学习 · 计算机科学 2024-11-01 Jeremy McMahan

We study a single-server scheduling problem for the objective of minimizing the expected cumulative holding cost incurred by jobs, where parameters defining stochastic job holding costs are unknown to the scheduler. We consider a general…

机器学习 · 计算机科学 2022-09-22 Dabeen Lee , Milan Vojnovic

Motivated by real-world settings where data collection and policy deployment -- whether for a single agent or across multiple agents -- are costly, we study the problem of on-policy single-agent reinforcement learning (RL) and federated RL…

机器学习 · 统计学 2026-03-11 Haochen Zhang , Zhong Zheng , Lingzhou Xue

This paper addresses Online Convex Optimization (OCO) problems where the constraints have additive perturbations that (i) vary over time and (ii) are not known at the time to make a decision. Perturbations may not be i.i.d. generated and…

最优化与控制 · 数学 2019-06-04 Víctor Valls , George Iosifidis , Douglas J. Leith , Leandros Tassiulas

We propose a general framework for studying adaptive regret bounds in the online learning framework, including model selection bounds and data-dependent bounds. Given a data- or model-dependent bound we ask, "Does there exist some algorithm…

机器学习 · 计算机科学 2020-02-14 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

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

In many sequential decision making applications, the change of decision would bring an additional cost, such as the wear-and-tear cost associated with changing server status. To control the switching cost, we introduce the problem of online…

机器学习 · 计算机科学 2021-03-23 Guanghui Wang , Yuanyu Wan , Tianbao Yang , Lijun Zhang

We study dynamic pricing of a product with an unknown demand distribution over a finite horizon. Departing from the standard no-regret learning environment in which prices can be adjusted at any time, we restrict price changes to…

机器学习 · 计算机科学 2025-12-16 Parshan Pakiman , Boxiao Chen , Selvaprabu Nadarajah , Stefanus Jasin

It is a remarkable fact that the same $O(\sqrt{T})$ regret rate can be achieved in both the Experts Problem and the Adversarial Multi-Armed Bandit problem albeit with a worse dependence on number of actions in the latter case. In contrast,…

机器学习 · 计算机科学 2022-10-05 Gautam Chandrasekaran , Ambuj Tewari

Motivated by the episodic version of the classical inventory control problem, we propose a new Q-learning-based algorithm, Elimination-Based Half-Q-Learning (HQL), that enjoys improved efficiency over existing algorithms for a wide variety…

机器学习 · 计算机科学 2020-10-06 Xiao-Yue Gong , David Simchi-Levi

Motivated by the EU's "Right To Be Forgotten" regulation, we initiate a study of statistical data deletion problems where users' data are accessible only for a limited period of time. This setting is formulated as an online supervised…

机器学习 · 统计学 2024-05-30 Yuantong Li , Chi-hua Wang , Guang Cheng

We consider deterministic finite-horizon optimal control problems with a fixed initial state. We introduce an on-line policy iteration method, which, starting from a given policy, however obtained, generates a sequence of cost-improving…

系统与控制 · 电气工程与系统科学 2026-05-12 Yuchao Li , Fei Chen , Yingke Li , Chuchu Fan , Dimitri Bertsekas

We provide consistent random algorithms for sequential decision under partial monitoring, i.e. when the decision maker does not observe the outcomes but receives instead random feedback signals. Those algorithms have no internal regret in…

机器学习 · 计算机科学 2011-02-23 Vianney Perchet

We introduce data-driven decision-making algorithms that achieve state-of-the-art \emph{dynamic regret} bounds for non-stationary bandit settings. These settings capture applications such as advertisement allocation, dynamic pricing, and…

机器学习 · 计算机科学 2021-03-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu