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We study revenue optimization learning algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation for a good and seeks to maximize his cumulative discounted…

计算机科学与博弈论 · 计算机科学 2018-02-09 Alexey Drutsa

We study contextual bandits with nonlinear and path-dependent rewards through a novel signature-transform-based approach. Leveraging the universal nonlinearity property of signatures, we approximate continuous path-dependent reward…

机器学习 · 计算机科学 2026-05-12 Xin Guo , Grace He , Xinyu Li

We study linear contextual bandits in the misspecified setting, where the expected reward function can be approximated by a linear function class up to a bounded misspecification level $\zeta>0$. We propose an algorithm based on a novel…

机器学习 · 计算机科学 2023-03-17 Weitong Zhang , Jiafan He , Zhiyuan Fan , Quanquan Gu

Modern systems, such as digital platforms and service systems, increasingly rely on contextual bandits for online decision-making; however, their deployment can inadvertently create unfair exposure among arms, undermining long-term platform…

机器学习 · 统计学 2026-02-05 Qingwen Zhang , Wenjia Wang

In this paper, we consider the contextual variant of the MNL-Bandit problem. More specifically, we consider a dynamic set optimization problem, where a decision-maker offers a subset (assortment) of products to a consumer and observes the…

机器学习 · 计算机科学 2024-04-16 Priyank Agrawal , Theja Tulabandhula , Vashist Avadhanula

Motivated by the application of real-time pricing in e-commerce platforms, we consider the problem of revenue-maximization in a setting where the seller can leverage contextual information describing the customer's history and the product's…

机器学习 · 计算机科学 2019-08-13 Virag Shah , Jose Blanchet , Ramesh Johari

This work studies linear bandits under a new notion of gap-adjusted misspecification and is an extension of Liu et al. (2023). When the underlying reward function is not linear, existing linear bandits work usually relies on a uniform…

机器学习 · 计算机科学 2025-01-10 Chong Liu , Dan Qiao , Ming Yin , Ilija Bogunovic , Yu-Xiang Wang

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

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

Automated bidding to optimize online advertising with various constraints, e.g. ROI constraints and budget constraints, is widely adopted by advertisers. A key challenge lies in designing algorithms for non-truthful mechanisms with ROI…

计算机科学与博弈论 · 计算机科学 2025-10-21 Yuan Deng , Yilin Li , Wei Tang , Hanrui Zhang

In this study, we propose a new method for constructing UCB-type algorithms for stochastic multi-armed bandits based on general convex optimization methods with an inexact oracle. We derive the regret bounds corresponding to the convergence…

机器学习 · 计算机科学 2024-02-13 Yuriy Dorn , Aleksandr Katrutsa , Ilgam Latypov , Andrey Pudovikov

We study online learning in repeated first-price auctions where a bidder, only observing the winning bid at the end of each auction, learns to adaptively bid in order to maximize her cumulative payoff. To achieve this goal, the bidder faces…

机器学习 · 计算机科学 2024-03-06 Yanjun Han , Zhengyuan Zhou , Tsachy Weissman

Personalized pricing, which involves tailoring prices based on individual characteristics, is commonly used by firms to implement a consumer-specific pricing policy. In this process, buyers can also strategically manipulate their feature…

机器学习 · 统计学 2024-06-27 Pangpang Liu , Zhuoran Yang , Zhaoran Wang , Will Wei Sun

This paper considers contextual bandits with a finite number of arms, where the contexts are independent and identically distributed $d$-dimensional random vectors, and the expected rewards are linear in both the arm parameters and…

机器学习 · 统计学 2025-05-07 Yanglei Song , Meng zhou

We study contextual dynamic pricing in a semiparametric scalar-index valuation model where the latent value is $v_t=\mu_\ast(\mathsf c_t)+\xi_t$, with an unknown utility map $\mu_\ast$ and an unknown additive noise distribution. The key…

机器学习 · 统计学 2026-05-18 Yingying Fan , Yuxuan Han , Jinchi Lv , Xiaocong Xu , Zhengyuan Zhou

We study the pricing behavior of third-party platforms facing strategic agents. Assuming the platform is a revenue maximizer, it observes market features that generally affect demand. Since only the equilibrium price and quantity are…

机器学习 · 计算机科学 2025-12-30 Rui Ai , David Simchi-Levi , Feng Zhu

We study contextual bilateral trade under full feedback when trader valuations have bounded density but infinite variance. We first extend the self-bounding property of Bachoc et al. (ICML 2025) from bounded to real-valued valuations,…

机器学习 · 统计学 2026-03-10 Hangyi Zhao

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

We study linear bandits when the underlying reward function is not linear. Existing work relies on a uniform misspecification parameter $\epsilon$ that measures the sup-norm error of the best linear approximation. This results in an…

机器学习 · 计算机科学 2023-07-21 Chong Liu , Ming Yin , Yu-Xiang Wang

Despite the significant interest and progress in reinforcement learning (RL) problems with adversarial corruption, current works are either confined to the linear setting or lead to an undesired $\tilde{O}(\sqrt{T}\zeta)$ regret bound,…

机器学习 · 统计学 2024-02-13 Chenlu Ye , Wei Xiong , Quanquan Gu , Tong Zhang