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Algorithms for online learning typically require one or more boundedness assumptions: that the domain is bounded, that the losses are Lipschitz, or both. In this paper, we develop a new setting for online learning with unbounded domains and…

机器学习 · 计算机科学 2023-07-18 Andrew Jacobsen , Ashok Cutkosky

We study dynamic pricing where a seller repeatedly interacts with a strategic, non-myopic buyer who has a fixed private valuation and discounts future utility. Prior work focused exclusively on posted-price mechanisms, which only extract…

计算机科学与博弈论 · 计算机科学 2026-04-28 Shiliang Zuo

We study a problem of simultaneous system identification and model predictive control of nonlinear systems. Particularly, we provide an algorithm for systems with unknown residual dynamics that can be expressed by Koopman operators. Such…

系统与控制 · 电气工程与系统科学 2025-12-11 Hongyu Zhou , Vasileios Tzoumas

Online learning algorithms are designed to learn even when their input is generated by an adversary. The widely-accepted formal definition of an online algorithm's ability to learn is the game-theoretic notion of regret. We argue that the…

机器学习 · 计算机科学 2012-07-03 Raman Arora , Ofer Dekel , Ambuj Tewari

We study monotone submodular maximization under general matroid constraints in the online setting. We prove that online optimization of a large class of submodular functions, namely, weighted threshold potential functions, reduces to online…

机器学习 · 计算机科学 2024-01-09 Tareq Si Salem , Gözde Özcan , Iasonas Nikolaou , Evimaria Terzi , Stratis Ioannidis

In the problem of online learning for changing environments, data are sequentially received one after another over time, and their distribution assumptions may vary frequently. Although existing methods demonstrate the effectiveness of…

机器学习 · 计算机科学 2023-07-18 Chen Zhao , Feng Mi , Xintao Wu , Kai Jiang , Latifur Khan , Christan Grant , Feng Chen

We study online conformal prediction for non-stationary data streams subject to unknown distribution drift. While most prior work studied this problem under adversarial settings and/or assessed performance in terms of gaps of time-averaged…

统计理论 · 数学 2026-03-06 Jiadong Liang , Zhimei Ren , Yuxin Chen

Much of the work in online learning focuses on the study of sublinear upper bounds on the regret. In this work, we initiate the study of best-case lower bounds in online convex optimization, wherein we bound the largest improvement an…

机器学习 · 计算机科学 2021-06-25 Cristóbal Guzmán , Nishant A. Mehta , Ali Mortazavi

We study the problem of full-information online learning in the "bounded recall" setting popular in the study of repeated games. An online learning algorithm $\mathcal{A}$ is $M$-$\textit{bounded-recall}$ if its output at time $t$ can be…

机器学习 · 计算机科学 2024-06-04 Jon Schneider , Kiran Vodrahalli

We consider an online learning problem on a continuum. A decision maker is given a compact feasible set $S$, and is faced with the following sequential problem: at iteration~$t$, the decision maker chooses a distribution $x^{(t)} \in…

机器学习 · 计算机科学 2015-04-30 Walid Krichene

We describe an approximate dynamic programming (ADP) approach to compute approximations of the optimal strategies and of the minimal losses that can be guaranteed in discounted repeated games with vector-valued losses. Such games…

计算机科学与博弈论 · 计算机科学 2020-10-27 Vijay Kamble , Patrick Loiseau , Jean Walrand

We study online learning in adversarial nonstationary environments. Since the future can be very different from the past, a critical challenge is to gracefully forget the history while new data comes in. To formalize this intuition, we…

机器学习 · 计算机科学 2024-06-21 Zhiyu Zhang , David Bombara , Heng Yang

We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

最优化与控制 · 数学 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

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

In this book, I introduce the basic concepts of Online Learning through the modern view of Online Convex Optimization. Here, online learning refers to the framework of regret minimization under worst-case assumptions. I present first-order…

机器学习 · 计算机科学 2026-04-28 Francesco Orabona

This paper describes a new online convex optimization method which incorporates a family of candidate dynamical models and establishes novel tracking regret bounds that scale with the comparator's deviation from the best dynamical model in…

机器学习 · 统计学 2013-01-08 Eric C. Hall , Rebecca M. Willett

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

数据结构与算法 · 计算机科学 2021-04-20 Xiaocheng Li , Yinyu Ye

This work focuses on dynamic regret of online convex optimization that compares the performance of online learning to a clairvoyant who knows the sequence of loss functions in advance and hence selects the minimizer of the loss function at…

机器学习 · 计算机科学 2016-05-17 Tianbao Yang , Lijun Zhang , Rong Jin , Jinfeng Yi

We explore an active learning approach for dynamic fair resource allocation problems. Unlike previous work that assumes full feedback from all agents on their allocations, we consider feedback from a select subset of agents at each epoch of…

机器学习 · 计算机科学 2024-06-24 Riddhiman Bhattacharya , Thanh Nguyen , Will Wei Sun , Mohit Tawarmalani

This paper addresses an online convex optimization problem where the cost function at each step depends on a history of past decisions (i.e., memory), and the decision maker has access to limited predictions of future cost values within a…

最优化与控制 · 数学 2025-12-29 Zhengmiao Wang , Zhi-Wei Liu , Ming Chi , Xiaoling Wang , Housheng Su , Lintao Ye