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The fractional knapsack problem is one of the classical problems in combinatorial optimization, which is well understood in the offline setting. However, the corresponding online setting has been handled only briefly in the theoretical…

数据结构与算法 · 计算机科学 2022-01-31 Jeff Giliberti , Andreas Karrenbauer

We study an online decision making problem where on each round a learner chooses a list of items based on some side information, receives a scalar feedback value for each individual item, and a reward that is linearly related to this…

机器学习 · 计算机科学 2016-11-07 Akshay Krishnamurthy , Alekh Agarwal , Miroslav Dudik

We introduce the Online Unbounded Knapsack Problem with Removal, a variation of the well-known Online Knapsack Problem. Items, each with a weight and value, arrive online and an algorithm must decide on whether or not to pack them into a…

数据结构与算法 · 计算机科学 2025-09-29 Matthias Gehnen , Moritz Stocker

Online safe reinforcement learning (RL) plays a key role in dynamic environments, with applications in autonomous driving, robotics, and cybersecurity. The objective is to learn optimal policies that maximize rewards while satisfying safety…

机器学习 · 计算机科学 2025-06-03 Jiahui Zhu , Kihyun Yu , Dabeen Lee , Xin Liu , Honghao Wei

A well-studied generalization of the standard online convex optimization (OCO) is constrained online convex optimization (COCO). In COCO, on every round, a convex cost function and a convex constraint function are revealed to the learner…

机器学习 · 计算机科学 2024-05-16 Abhishek Sinha , Rahul Vaze

Online algorithm is an important branch in algorithm design. Designing online algorithms with a bounded competitive ratio (in terms of worst-case performance) can be hard and usually relies on problem-specific assumptions. Inspired by…

机器学习 · 计算机科学 2021-11-22 Bingqian Du , Zhiyi Huang , Chuan Wu

We consider a partial-feedback variant of the well-studied online PCA problem where a learner attempts to predict a sequence of $d$-dimensional vectors in terms of a quadratic loss, while only having limited feedback about the environment's…

机器学习 · 计算机科学 2019-02-11 Wojciech Kotłowski , Gergely Neu

Bandit convex optimization (BCO) is a general framework for online decision making under uncertainty. While tight regret bounds for general convex losses have been established, existing algorithms achieving these bounds have prohibitive…

机器学习 · 计算机科学 2024-10-04 Arun Suggala , Y. Jennifer Sun , Praneeth Netrapalli , Elad Hazan

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

机器学习 · 计算机科学 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

We study the problem of incentive-compatible online learning with bandit feedback. In this class of problems, the experts are self-interested agents who might misrepresent their preferences with the goal of being selected most often. The…

机器学习 · 计算机科学 2024-05-13 Julian Zimmert , Teodor V. Marinov

We study the problem of minimizing an ordered norm of a load vector (indexed by a set of $d$ resources), where a finite number $n$ of customers $c$ contribute to the load of each resource by choosing a solution $x_c$ in a convex set $X_c…

数据结构与算法 · 计算机科学 2026-05-12 Daniel Blankenburg , Antonia Ellerbrock , Thomas Kesselheim , Jens Vygen

Model selection in the context of bandit optimization is a challenging problem, as it requires balancing exploration and exploitation not only for action selection, but also for model selection. One natural approach is to rely on online…

机器学习 · 统计学 2023-11-14 Parnian Kassraie , Nicolas Emmenegger , Andreas Krause , Aldo Pacchiano

We study online learning in contextual pay-per-click auctions where at each of the $T$ rounds, the learner receives some context along with a set of ads and needs to make an estimate on their click-through rate (CTR) in order to run a…

机器学习 · 计算机科学 2023-10-10 Mengxiao Zhang , Haipeng Luo

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan

In this paper, the online variants of the classical Frank-Wolfe algorithm are considered. We consider minimizing the regret with a stochastic cost. The online algorithms only require simple iterative updates and a non-adaptive step size…

机器学习 · 统计学 2016-08-16 Jean Lafond , Hoi-To Wai , Eric Moulines

Online learning with limited information feedback (bandit) tries to solve the problem where an online learner receives partial feedback information from the environment in the course of learning. Under this setting, Flaxman et al.[8]…

机器学习 · 计算机科学 2019-03-18 Binbin Liu , Jundong Li , Yunquan Song , Xijun Liang , Ling Jian , Huan Liu

We study online meta-learning with bandit feedback, with the goal of improving performance across multiple tasks if they are similar according to some natural similarity measure. As the first to target the adversarial online-within-online…

Online-learning literature has focused on designing algorithms that ensure sub-linear growth of the cumulative long-term constraint violations. The drawback of this guarantee is that strictly feasible actions may cancel out constraint…

最优化与控制 · 数学 2019-10-22 Ezra Tampubolon , Holger Boche

Recent literature has made much progress in understanding \emph{online LQR}: a modern learning-theoretic take on the classical control problem in which a learner attempts to optimally control an unknown linear dynamical system with fully…

机器学习 · 计算机科学 2020-10-06 Max Simchowitz

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

机器学习 · 计算机科学 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski