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Motivated by recommendation problems in music streaming platforms, we propose a nonstationary stochastic bandit model in which the expected reward of an arm depends on the number of rounds that have passed since the arm was last pulled.…

机器学习 · 统计学 2020-02-20 Leonardo Cella , Nicolò Cesa-Bianchi

Lipschitz bandits is a prominent version of multi-armed bandits that studies large, structured action spaces such as the $[0,1]$ interval, where similar actions are guaranteed to have similar rewards. A central theme here is the adaptive…

机器学习 · 计算机科学 2025-06-13 Chara Podimata , Aleksandrs Slivkins

We study the problem of dynamic assortment personalization with large, heterogeneous populations and wide arrays of products, and demonstrate the importance of structural priors for effective, efficient large-scale personalization.…

机器学习 · 统计学 2019-05-03 Nathan Kallus , Madeleine Udell

We study the pricing problem faced by a firm that sells a large number of products, described via a wide range of features, to customers that arrive over time. Customers independently make purchasing decisions according to a general choice…

机器学习 · 统计学 2018-01-03 Adel Javanmard , Hamid Nazerzadeh

In this paper, the problem of distributed optimization is studied via a network of agents. Each agent only has access to a stochastic gradient of its own objective function in the previous time, and can communicate with its neighbors via a…

最优化与控制 · 数学 2024-01-29 Yuchen Yang , Kaihong Lu , Long Wang

We consider a firm that sells a large number of products to its customers in an online fashion. Each product is described by a high dimensional feature vector, and the market value of a product is assumed to be linear in the values of its…

计算机科学与博弈论 · 计算机科学 2017-04-26 Adel Javanmard

Multi-armed bandit problems are the predominant theoretical model of exploration-exploitation tradeoffs in learning, and they have countless applications ranging from medical trials, to communication networks, to Web search and advertising.…

数据结构与算法 · 计算机科学 2017-09-06 Ashwinkumar Badanidiyuru , Robert Kleinberg , Aleksandrs Slivkins

We consider minimisation of dynamic regret in non-stationary bandits with a slowly varying property. Namely, we assume that arms' rewards are stochastic and independent over time, but that the absolute difference between the expected…

机器学习 · 计算机科学 2021-10-26 Ramakrishnan Krishnamurthy , Aditya Gopalan

We study the stochastic multi-armed bandit problem and design new policies that enjoy both worst-case optimality for expected regret and light-tailed risk for regret distribution. Specifically, our policy design (i) enjoys the worst-case…

机器学习 · 统计学 2024-07-23 David Simchi-Levi , Zeyu Zheng , Feng Zhu

Dynamic pricing is crucial in sectors like e-commerce and transportation, balancing exploration of demand patterns and exploitation of pricing strategies. Existing methods often require precise knowledge of the demand function, e.g., the…

机器学习 · 计算机科学 2025-03-04 Xueping Gong , Jiheng Zhang

Motivated by economic applications such as recommender systems, we study the behavior of stochastic bandits algorithms under \emph{strategic behavior} conducted by rational actors, i.e., the arms. Each arm is a \emph{self-interested}…

机器学习 · 计算机科学 2020-11-16 Zhe Feng , David C. Parkes , Haifeng Xu

We investigate the non-stationary stochastic linear bandit problem where the reward distribution evolves each round. Existing algorithms characterize the non-stationarity by the total variation budget $B_K$, which is the summation of the…

机器学习 · 计算机科学 2024-03-19 Zhiyong Wang , Jize Xie , Yi Chen , John C. S. Lui , Dongruo Zhou

We propose stochastic rank-$1$ bandits, a class of online learning problems where at each step a learning agent chooses a pair of row and column arms, and receives the product of their values as a reward. The main challenge of the problem…

机器学习 · 计算机科学 2017-03-09 Sumeet Katariya , Branislav Kveton , Csaba Szepesvari , Claire Vernade , Zheng Wen

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 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 study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

机器学习 · 计算机科学 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski

We make significant progress toward the stochastic shortest path problem with adversarial costs and unknown transition. Specifically, we develop algorithms that achieve $\widetilde{O}(\sqrt{S^2ADT_\star K})$ regret for the full-information…

机器学习 · 计算机科学 2021-06-15 Liyu Chen , Haipeng Luo

In $K$-armed dueling bandits, the learner receives preference feedback between arms, and the regret of an arm is defined in terms of its suboptimality to a $\textit{winner}$ arm. The $\textit{non-stationary}$ variant of the problem,…

机器学习 · 计算机科学 2024-10-01 Joe Suk , Arpit Agarwal

We consider dynamic pricing strategies in a streamed longitudinal data set-up where the objective is to maximize, over time, the cumulative profit across a large number of customer segments. We consider a dynamic model with the consumers'…

机器学习 · 计算机科学 2023-10-17 Rashmi Ranjan Bhuyan , Adel Javanmard , Sungchul Kim , Gourab Mukherjee , Ryan A. Rossi , Tong Yu , Handong Zhao

Developing efficient sequential bidding strategies for repeated auctions is an important practical challenge in various marketing tasks. In this setting, the bidding agent obtains information, on both the value of the item at sale and the…

机器学习 · 计算机科学 2021-03-01 Juliette Achddou , Olivier Cappé , Aurélien Garivier