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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

Dueling bandits is a prominent framework for decision-making involving preferential feedback, a valuable feature that fits various applications involving human interaction, such as ranking, information retrieval, and recommendation systems.…

机器学习 · 计算机科学 2024-10-16 Qiwei Di , Tao Jin , Yue Wu , Heyang Zhao , Farzad Farnoud , Quanquan Gu

We study the problem of adversarial combinatorial bandit with a switching cost $\lambda$ for a switch of each selected arm in each round, considering both the bandit feedback and semi-bandit feedback settings. In the oblivious adversarial…

机器学习 · 统计学 2024-04-03 Yanyan Dong , Vincent Y. F. Tan

Regret minimization in streaming multi-armed bandits (MABs) has been studied extensively in recent years. In the single-pass setting with $K$ arms and $T$ trials, a regret lower bound of $\Omega(T^{2/3})$ has been proved for any algorithm…

机器学习 · 计算机科学 2023-06-06 Chen Wang

We study the $K$-armed dueling bandit problem, a variation of the standard stochastic bandit problem where the feedback is limited to relative comparisons of a pair of arms. We introduce a tight asymptotic regret lower bound that is based…

机器学习 · 统计学 2015-06-30 Junpei Komiyama , Junya Honda , Hisashi Kashima , Hiroshi Nakagawa

In this paper, we study the problem of stochastic linear bandits with finite action sets. Most of existing work assume the payoffs are bounded or sub-Gaussian, which may be violated in some scenarios such as financial markets. To settle…

机器学习 · 计算机科学 2020-04-29 Bo Xue , Guanghui Wang , Yimu Wang , Lijun Zhang

In this paper we consider stochastic multiarmed bandit problems. Recently a policy, DMED, is proposed and proved to achieve the asymptotic bound for the model that each reward distribution is supported in a known bounded interval, e.g.…

统计理论 · 数学 2012-02-20 Junya Honda , Akimichi Takemura

We present regret minimization algorithms for the contextual multi-armed bandit (CMAB) problem over $K$ actions in the presence of delayed feedback, a scenario where loss observations arrive with delays chosen by an adversary. As a…

机器学习 · 计算机科学 2025-10-13 Orin Levy , Liad Erez , Alon Cohen , Yishay Mansour

This study considers online learning with general directed feedback graphs. For this problem, we present best-of-both-worlds algorithms that achieve nearly tight regret bounds for adversarial environments as well as poly-logarithmic regret…

机器学习 · 计算机科学 2022-12-29 Shinji Ito , Taira Tsuchiya , Junya Honda

We derive upper and lower bounds for the policy regret of $T$-round online learning problems with graph-structured feedback, where the adversary is nonoblivious but assumed to have a bounded memory. We obtain upper bounds of $\widetilde…

机器学习 · 计算机科学 2018-04-03 Zhili Feng , Po-Ling Loh

We study reinforcement learning with linear function approximation and adversarially changing cost functions, a setup that has mostly been considered under simplifying assumptions such as full information feedback or exploratory…

机器学习 · 计算机科学 2023-01-31 Uri Sherman , Tomer Koren , Yishay Mansour

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

We design the first regret guarantees for robust dynamic pricing that decouple the dependence on the corruption $C$ and the time horizon $T$. In dynamic pricing, a seller with unlimited supply of a good interacts with a stream of buyers…

机器学习 · 计算机科学 2026-05-12 Kalana Kalupahana , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi

We introduce the problem of regret minimization in adversarial multi-dueling bandits. While adversarial preferences have been studied in dueling bandits, they have not been explored in multi-dueling bandits. In this setting, the learner is…

机器学习 · 计算机科学 2024-06-27 Pratik Gajane

We study the adversarial bandit problem with composite anonymous delayed feedback. In this setting, losses of an action are split into $d$ components, spreading over consecutive rounds after the action is chosen. And in each round, the…

机器学习 · 计算机科学 2022-04-29 Zongqi Wan , Xiaoming Sun , Jialin Zhang

We investigate bandit convex optimization (BCO) with delayed feedback, where only the loss value of the action is revealed under an arbitrary delay. Let $n,T,\bar{d}$ denote the dimensionality, time horizon, and average delay, respectively.…

机器学习 · 计算机科学 2024-06-25 Yuanyu Wan , Chang Yao , Mingli Song , Lijun Zhang

Recently the online advertising market has exhibited a gradual shift from second-price auctions to first-price auctions. Although there has been a line of works concerning online bidding strategies in first-price auctions, it still remains…

计算机科学与博弈论 · 计算机科学 2022-05-31 Rui Ai , Chang Wang , Chenchen Li , Jinshan Zhang , Wenhan Huang , Xiaotie Deng

This paper studies Vickrey first-price auctions under binary feedback. Leveraging the enhanced performance of machine learning algorithms, the new algorithm uses past information to improve the regret bounds of the BROAD-OMD algorithm.…

机器学习 · 计算机科学 2025-07-09 Jason Tandiary

We present an algorithm based on posterior sampling (aka Thompson sampling) that achieves near-optimal worst-case regret bounds when the underlying Markov Decision Process (MDP) is communicating with a finite, though unknown, diameter. Our…

机器学习 · 计算机科学 2020-04-01 Shipra Agrawal , Randy Jia

In this paper, we investigate the existence of online learning algorithms with bandit feedback that simultaneously guarantee $O(1)$ regret compared to a given comparator strategy, and $\tilde{O}(\sqrt{T})$ regret compared to any fixed…

机器学习 · 计算机科学 2025-06-05 Adrian Müller , Jon Schneider , Stratis Skoulakis , Luca Viano , Volkan Cevher