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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

In this work, we propose an efficient minimax optimal global optimization algorithm for multivariate Lipschitz continuous functions. To evaluate the performance of our approach, we utilize the average regret instead of the traditional…

机器学习 · 计算机科学 2022-06-07 Kaan Gokcesu , Hakan Gokcesu

We consider a stochastic inventory control problem under censored demands, lost sales, and positive lead times. This is a fundamental problem in inventory management, with significant literature establishing near-optimality of a simple…

机器学习 · 计算机科学 2019-05-14 Shipra Agrawal , Randy Jia

Motivated by the strategic participation of electricity producers in electricity day-ahead market, we study the problem of online learning in repeated multi-unit uniform price auctions focusing on the adversarial opposing bid setting. The…

计算机科学与博弈论 · 计算机科学 2025-01-20 Marius Potfer , Dorian Baudry , Hugo Richard , Vianney Perchet , Cheng Wan

In this paper, we study the contextual dynamic pricing problem where the market value of a product is linear in its observed features plus some market noise. Products are sold one at a time, and only a binary response indicating success or…

机器学习 · 计算机科学 2022-05-05 Jianqing Fan , Yongyi Guo , Mengxin Yu

We study the fundamental problem of prediction with expert advice and develop regret lower bounds for a large family of algorithms for this problem. We develop simple adversarial primitives, that lend themselves to various combinations…

机器学习 · 计算机科学 2016-07-15 Nick Gravin , Yuval Peres , Balasubramanian Sivan

In the contextual pricing problem a seller repeatedly obtains products described by an adversarially chosen feature vector in $\mathbb{R}^d$ and only observes the purchasing decisions of a buyer with a fixed but unknown linear valuation…

数据结构与算法 · 计算机科学 2021-02-25 Allen Liu , Renato Paes Leme , Jon Schneider

We define "decision swap regret" which generalizes both prediction for downstream swap regret and omniprediction, and give algorithms for obtaining it for arbitrary multi-dimensional Lipschitz loss functions in online adversarial settings.…

机器学习 · 计算机科学 2025-02-19 Jiuyao Lu , Aaron Roth , Mirah Shi

We study regret minimization for infinite-horizon average-reward Markov Decision Processes (MDPs) under cost constraints. We start by designing a policy optimization algorithm with carefully designed action-value estimator and bonus term,…

机器学习 · 计算机科学 2022-02-02 Liyu Chen , Rahul Jain , Haipeng Luo

We study the stochastic shortest path problem with adversarial costs and known transition, and show that the minimax regret is $\widetilde{O}(\sqrt{DT^\star K})$ and $\widetilde{O}(\sqrt{DT^\star SA K})$ for the full-information setting and…

机器学习 · 计算机科学 2021-06-23 Liyu Chen , Haipeng Luo , Chen-Yu Wei

We study the dynamic assortment planning problem, where for each arriving customer, the seller offers an assortment of substitutable products and customer makes the purchase among offered products according to an uncapacitated multinomial…

机器学习 · 统计学 2019-02-11 Xi Chen , Yining Wang , Yuan Zhou

First-price auctions have very recently swept the online advertising industry, replacing second-price auctions as the predominant auction mechanism on many platforms. This shift has brought forth important challenges for a bidder: how…

机器学习 · 计算机科学 2025-09-26 Yanjun Han , Zhengyuan Zhou , Aaron Flores , Erik Ordentlich , Tsachy Weissman

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

Motivated by online retail, we consider the problem of selling one item (e.g., an ad slot) to two non-excludable buyers (say, a merchant and a brand). This problem captures, for example, situations where a merchant and a brand cooperatively…

计算机科学与博弈论 · 计算机科学 2025-05-26 Gagan Aggarwal , Ashwinkumar Badanidiyuru , Paul Dütting , Federico Fusco

We study the $\textit{single-index bandit}$ problem, where rewards depend on an unknown one-dimensional projection of high-dimensional contexts through an unknown reward function. This model extends linear and generalized linear bandits to…

机器学习 · 统计学 2026-05-12 Devdan Dey , Sujoy Bhore , Avishek Ghosh

In many applications of online decision making, the environment is non-stationary and it is therefore crucial to use bandit algorithms that handle changes. Most existing approaches are designed to protect against non-smooth changes,…

机器学习 · 计算机科学 2024-11-19 Su Jia , Qian Xie , Nathan Kallus , Peter I. Frazier

In this paper the minimum spanning tree problem with uncertain edge costs is discussed. In order to model the uncertainty a discrete scenario set is specified and a robust framework is adopted to choose a solution. The min-max, min-max…

计算复杂性 · 计算机科学 2010-04-19 Adam Kasperski , Pawel Zielinski

We study a new class of online learning problems where each of the online algorithm's actions is assigned an adversarial value, and the loss of the algorithm at each step is a known and deterministic function of the values assigned to its…

机器学习 · 计算机科学 2014-05-20 Ofer Dekel , Jian Ding , Tomer Koren , Yuval Peres

We consider an assortment selection and pricing problem in which a seller has $N$ different items available for sale. In each round, the seller observes a $d$-dimensional contextual preference information vector for the user, and offers to…

机器学习 · 计算机科学 2025-03-18 Yigit Efe Erginbas , Thomas A. Courtade , Kannan Ramchandran

Motivated by posted price auctions where buyers are grouped in an unknown number of latent types characterized by their private values for the good on sale, we investigate revenue maximization in stochastic dynamic pricing when the…

机器学习 · 计算机科学 2019-03-06 Nicolò Cesa-Bianchi , Tommaso Cesari , Vianney Perchet