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We consider the problem of reward maximization in the dueling bandit setup along with constraints on resource consumption. As in the classic dueling bandits, at each round the learner has to choose a pair of items from a set of $K$ items…

机器学习 · 计算机科学 2023-12-29 Rohan Deb , Aadirupa Saha

We unify two prominent lines of work on multi-armed bandits: bandits with knapsacks (BwK) and combinatorial semi-bandits. The former concerns limited "resources" consumed by the algorithm, e.g., limited supply in dynamic pricing. The latter…

机器学习 · 计算机科学 2018-02-22 Karthik Abinav Sankararaman , Aleksandrs Slivkins

We study a novel multi-armed bandit problem that models the challenge faced by a company wishing to explore new strategies to maximize revenue whilst simultaneously maintaining their revenue above a fixed baseline, uniformly over time.…

机器学习 · 统计学 2016-02-16 Yifan Wu , Roshan Shariff , Tor Lattimore , Csaba Szepesvári

We study the framework of a dynamic decision-making scenario with resource constraints. In this framework, an agent, whose target is to maximize the total reward under the initial inventory, selects an action in each round upon observing a…

机器学习 · 计算机科学 2024-12-19 Zhaohua Chen , Rui Ai , Mingwei Yang , Yuqi Pan , Chang Wang , Xiaotie Deng

This paper introduces a novel contextual bandit algorithm for personalized pricing under utility fairness constraints in scenarios with uncertain demand, achieving an optimal regret upper bound. Our approach, which incorporates dynamic…

机器学习 · 统计学 2023-11-29 Xi Chen , David Simchi-Levi , Yining Wang

We consider a contextual version of multi-armed bandit problem with global knapsack constraints. In each round, the outcome of pulling an arm is a scalar reward and a resource consumption vector, both dependent on the context, and the…

机器学习 · 计算机科学 2016-07-12 Shipra Agrawal , Nikhil R. Devanur , Lihong Li

In the bandits with knapsacks framework (BwK) the learner has $m$ resource-consumption (packing) constraints. We focus on the generalization of BwK in which the learner has a set of general long-term constraints. The goal of the learner is…

机器学习 · 计算机科学 2024-05-13 Martino Bernasconi , Matteo Castiglioni , Andrea Celli

Bandits with Knapsacks (BwK) is a general model for multi-armed bandits under supply/budget constraints. While worst-case regret bounds for BwK are well-understood, we present three results that go beyond the worst-case perspective. First,…

机器学习 · 计算机科学 2021-12-30 Karthik Abinav Sankararaman , Aleksandrs Slivkins

We consider dynamic pricing with many products under an evolving but low-dimensional demand model. Assuming the temporal variation in cross-elasticities exhibits low-rank structure based on fixed (latent) features of the products, we show…

机器学习 · 计算机科学 2019-09-12 Jonas Mueller , Vasilis Syrgkanis , Matt Taddy

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

This paper studies bandit problems where an agent has access to offline data that might be utilized to potentially improve the estimation of each arm's reward distribution. A major obstacle in this setting is the existence of compound…

机器学习 · 计算机科学 2023-12-21 Wen Huang , Xintao Wu

We consider a special case of bandit problems, namely batched bandits. Motivated by natural restrictions of recommender systems and e-commerce platforms, we assume that a learning agent observes responses batched in groups over a certain…

机器学习 · 计算机科学 2021-11-04 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

We study a stochastic budget-allocation problem over $K$ tasks. At each round $t$, the learner chooses an allocation $X_t \in \Delta_K$. Task $k$ succeeds with probability $F_k(X_{t,k})$, where $F_1,\dots,F_K$ are nondecreasing…

计算机科学与博弈论 · 计算机科学 2026-02-05 François Bachoc , Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni

We consider the non-stochastic Multi-Armed Bandit problem in a setting where there is a fixed and known metric on the action space that determines a cost for switching between any pair of actions. The loss of the online learner has two…

机器学习 · 计算机科学 2017-10-26 Tomer Koren , Roi Livni , Yishay Mansour

Multi-armed bandit models have proven to be useful in modeling many real world problems in the areas of control and sequential decision making with partial information. However, in many scenarios, such as those prevalent in healthcare and…

最优化与控制 · 数学 2024-08-27 Qinyang He , Yonatan Mintz

Recommendation systems when employed in markets play a dual role: they assist users in selecting their most desired items from a large pool and they help in allocating a limited number of items to the users who desire them the most. Despite…

机器学习 · 计算机科学 2022-08-01 Yigit Efe Erginbas , Soham Phade , Kannan Ramchandran

We study online learning problems in which a decision maker wants to maximize their expected reward without violating a finite set of $m$ resource constraints. By casting the learning process over a suitably defined space of strategy…

机器学习 · 计算机科学 2023-03-13 Andrea Celli , Matteo Castiglioni , Christian Kroer

We study how to adapt to smoothly-varying ('easy') environments in well-known online learning problems where acquiring information is expensive. For the problem of label efficient prediction, which is a budgeted version of prediction with…

机器学习 · 计算机科学 2019-12-09 Siddharth Mitra , Aditya Gopalan

Logistic Bandits have recently attracted substantial attention, by providing an uncluttered yet challenging framework for understanding the impact of non-linearity in parametrized bandits. It was shown by Faury et al. (2020) that the…

机器学习 · 计算机科学 2021-03-10 Marc Abeille , Louis Faury , Clément Calauzènes

We study contextual bandits with ancillary constraints on resources, which are common in real-world applications such as choosing ads or dynamic pricing of items. We design the first algorithm for solving these problems that handles…

机器学习 · 计算机科学 2015-08-03 Ashwinkumar Badanidiyuru , John Langford , Aleksandrs Slivkins