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We study online learning problems in which a decision maker has to make a sequence of costly decisions, with the goal of maximizing their expected reward while adhering to budget and return-on-investment (ROI) constraints. Existing…

计算机科学与博弈论 · 计算机科学 2024-03-05 Matteo Castiglioni , Andrea Celli , Christian Kroer

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

机器学习 · 计算机科学 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

We study the problem of safe online convex optimization, where the action at each time step must satisfy a set of linear safety constraints. The goal is to select a sequence of actions to minimize the regret without violating the safety…

机器学习 · 计算机科学 2021-11-16 Sapana Chaudhary , Dileep Kalathil

Online advertising has recently grown into a highly competitive and complex multi-billion-dollar industry, with advertisers bidding for ad slots at large scales and high frequencies. This has resulted in a growing need for efficient…

机器学习 · 计算机科学 2023-07-04 Zhe Feng , Swati Padmanabhan , Di Wang

We consider the problem of bidding in online advertising, where an advertiser aims to maximize value while adhering to budget and Return-on-Spend (RoS) constraints. Unlike prior work that assumes knowledge of the value generated by winning…

机器学习 · 计算机科学 2025-03-06 Sushant Vijayan , Zhe Feng , Swati Padmanabhan , Karthikeyan Shanmugam , Arun Suggala , Di Wang

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

We study online bilateral trade, where a learner facilitates repeated exchanges between a buyer and a seller to maximize the Gain From Trade (GFT), i.e., the social welfare. In doing so, the learner must guarantee not to subsidize the…

计算机科学与博弈论 · 计算机科学 2026-02-06 Anna Lunghi , Mattia Piccinato , Matteo Castiglioni , Alberto Marchesi

We consider the problem of online learning where the sequence of actions played by the learner must adhere to an unknown safety constraint at every round. The goal is to minimize regret with respect to the best safe action in hindsight…

机器学习 · 计算机科学 2024-03-08 Karthik Sridharan , Seung Won Wilson Yoo

We study the bidding problem in repeated uniform price multi-unit auctions from the perspective of a value-maximizing buyer. The buyer aims to maximize their cumulative value over $T$ rounds while adhering to per-round return-on-investment…

数据结构与算法 · 计算机科学 2025-10-07 Negin Golrezaei , Sourav Sahoo

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

机器学习 · 计算机科学 2024-10-29 Abhishek Sinha , Rahul Vaze

We study an online learning problem on dynamic pricing and resource allocation, where we make joint pricing and inventory decisions to maximize the overall net profit. We consider the stochastic dependence of demands on the price, which…

机器学习 · 计算机科学 2025-05-23 Jianyu Xu , Xuan Wang , Yu-Xiang Wang , Jiashuo Jiang

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

机器学习 · 计算机科学 2019-04-09 Amit Daniely , Yishay Mansour

Advertisers increasingly use automated bidding to optimize their ad campaigns on online advertising platforms. Autobidding optimizes an advertiser's objective subject to various constraints, e.g. average ROI and budget constraints. In this…

计算机科学与博弈论 · 计算机科学 2024-04-16 Gagan Aggarwal , Giannis Fikioris , Mingfei Zhao

In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

机器学习 · 统计学 2024-05-20 Lexing Ying

We study various discrete nonlinear combinatorial optimization problems in an online learning framework. In the first part, we address the question of whether there are negative results showing that getting a vanishing (or even vanishing…

数据结构与算法 · 计算机科学 2020-06-24 Evripidis Bampis , Dimitris Christou , Bruno Escoffier , Nguyen Kim Thang

In this paper, we study a class of online optimization problems with long-term budget constraints where the objective functions are not necessarily concave (nor convex) but they instead satisfy the Diminishing Returns (DR) property.…

最优化与控制 · 数学 2019-07-02 Omid Sadeghi , Maryam Fazel

We study a game between autobidding algorithms that compete in an online advertising platform. Each autobidder is tasked with maximizing its advertiser's total value over multiple rounds of a repeated auction, subject to budget and…

计算机科学与博弈论 · 计算机科学 2024-12-03 Brendan Lucier , Sarath Pattathil , Aleksandrs Slivkins , Mengxiao Zhang

Most microeconomic models of interest involve optimizing a piecewise linear function. These include contract design in hidden-action principal-agent problems, selling an item in posted-price auctions, and bidding in first-price auctions.…

计算机科学与博弈论 · 计算机科学 2025-03-04 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We resolve an open question from (Christiano, 2014b) posed in COLT'14 regarding the optimal dependency of the regret achievable for online local learning on the size of the label set. In this framework the algorithm is shown a pair of items…

机器学习 · 计算机科学 2015-08-25 Pranjal Awasthi , Moses Charikar , Kevin A. Lai , Andrej Risteski

Bilateral trade is a central problem in algorithmic economics, and recent work has explored how to design trading mechanisms using no-regret learning algorithms. However, no-regret learning is impossible when budget balance has to be…

计算机科学与博弈论 · 计算机科学 2025-07-16 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi
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