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We study the online learning problem of a bidder who participates in repeated auctions. With the goal of maximizing his T-period payoff, the bidder determines the optimal allocation of his budget among his bids for $K$ goods at each period.…

计算机科学与博弈论 · 计算机科学 2017-11-20 Sevi Baltaoglu , Lang Tong , Qing Zhao

We address the problem of learning in an online setting where the learner repeatedly observes features, selects among a set of actions, and receives reward for the action taken. We provide the first efficient algorithm with an optimal…

机器学习 · 计算机科学 2011-06-17 Miroslav Dudik , Daniel Hsu , Satyen Kale , Nikos Karampatziakis , John Langford , Lev Reyzin , Tong Zhang

How can non-communicating agents learn to share congested resources efficiently? This is a challenging task when the agents can access the same resource simultaneously (in contrast to multi-agent multi-armed bandit problems) and the…

多智能体系统 · 计算机科学 2021-05-13 Tomer Boyarski , Amir Leshem , Vikram Krishnamurthy

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

数据结构与算法 · 计算机科学 2024-11-21 Will Ma

This paper establishes that optimistic algorithms attain gap-dependent and non-asymptotic logarithmic regret for episodic MDPs. In contrast to prior work, our bounds do not suffer a dependence on diameter-like quantities or ergodicity, and…

机器学习 · 计算机科学 2019-10-30 Max Simchowitz , Kevin Jamieson

In this paper, we propose a learning approach to analyze dynamic systems with asymmetric information structure. Instead of adopting a game theoretic setting, we investigate an online quadratic optimization problem driven by system noises…

最优化与控制 · 数学 2018-11-05 Cheng Tan , Wing Shing Wong

This paper introduces a new problem-dependent regret measure for online convex optimization with smooth losses. The notion, which we call the $G^\star$ regret, depends on the cumulative squared gradient norm evaluated at the decision in…

机器学习 · 统计学 2026-02-10 Wenzhi Gao , Chang He , Madeleine Udell

A central issue lying at the heart of online reinforcement learning (RL) is data efficiency. While a number of recent works achieved asymptotically minimal regret in online RL, the optimality of these results is only guaranteed in a…

机器学习 · 计算机科学 2025-04-30 Zihan Zhang , Yuxin Chen , Jason D. Lee , Simon S. Du

We introduce an online mathematical framework for survival analysis, allowing real time adaptation to dynamic environments and censored data. This framework enables the estimation of event time distributions through an optimal second order…

机器学习 · 计算机科学 2024-02-09 Camila Fernandez , Pierre Gaillard , Joseph de Vilmarest , Olivier Wintenberger

We study the generalized linear bandit (GLB) problem, a contextual multi-armed bandit framework that extends the classical linear model by incorporating a non-linear link function, thereby modeling a broad class of reward distributions such…

机器学习 · 计算机科学 2025-10-31 Yu-Jie Zhang , Sheng-An Xu , Peng Zhao , Masashi Sugiyama

Online mirror descent (OMD) is a fundamental algorithmic paradigm that underlies many algorithms in optimization, machine learning and sequential decision-making. The OMD iterates are defined as solutions to optimization subproblems which,…

机器学习 · 计算机科学 2025-12-01 Ofir Schlisselberg , Uri Sherman , Tomer Koren , Yishay Mansour

The problem of piecewise affine (PWA) regression and planning is of foundational importance to the study of online learning, control, and robotics, where it provides a theoretically and empirically tractable setting to study systems…

机器学习 · 统计学 2024-03-20 Adam Block , Max Simchowitz , Russ Tedrake

In this work, we consider a distributed online convex optimization problem, with time-varying (potentially adversarial) constraints. A set of nodes, jointly aim to minimize a global objective function, which is the sum of local convex…

最优化与控制 · 数学 2021-05-06 Pranay Sharma , Prashant Khanduri , Lixin Shen , Donald J. Bucci , Pramod K. Varshney

Ranking algorithms are fundamental to various online platforms across e-commerce sites to content streaming services. Our research addresses the challenge of adaptively ranking items from a candidate pool for heterogeneous users, a key…

机器学习 · 计算机科学 2024-06-10 Jingyuan Wang , Perry Dong , Ying Jin , Ruohan Zhan , Zhengyuan Zhou

Online strategic classification studies settings in which agents strategically modify their features to obtain favorable predictions. For example, given a classifier that determines loan approval based on credit scores, applicants may open…

机器学习 · 计算机科学 2026-02-09 Chase Hutton , Adam Melrod , Han Shao

We develop a unified and systematic framework for performing online nonnegative matrix factorization under a wide variety of important divergences. The online nature of our algorithm makes it particularly amenable to large-scale data. We…

机器学习 · 统计学 2016-08-17 Renbo Zhao , Vincent Y. F. Tan , Huan Xu

We consider online learning problems where the aim is to achieve regret which is efficient in the sense that it is the same order as the lowest regret amongst K experts. This is a substantially stronger requirement that achieving…

机器学习 · 计算机科学 2019-11-12 Daron Anderson , Douglas J. Leith

We study Online Linear Programming (OLP) with batching. The planning horizon is cut into $K$ batches, and the decisions on customers arriving within a batch can be delayed to the end of their associated batch. Compared with OLP without…

机器学习 · 计算机科学 2024-08-02 Haoran Xu , Peter W. Glynn , Yinyu Ye

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

In this paper, we develop a simple and fast online algorithm for solving a class of binary integer linear programs (LPs) arisen in general resource allocation problem. The algorithm requires only one single pass through the input data and…

数据结构与算法 · 计算机科学 2020-07-07 Xiaocheng Li , Chunlin Sun , Yinyu Ye
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