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Motivated by applications in e-retail and online advertising, we study the problem of assortment optimization under visibility constraints, that we refer to as APV. Here, we are given a universe of substitutable products and a stream of…

Optimization and Control · Mathematics 2025-02-18 Theo Barre , Omar El Housni , Marouane Ibn Brahim , Andrea Lodi , Danny Segev

A central issue lying at the heart of online reinforcement learning (RL) is data efficiency. While a number of recent works achieved asymptotically minimal regret in online RL, the optimality of these results is only guaranteed in a…

Machine Learning · Computer Science 2025-04-30 Zihan Zhang , Yuxin Chen , Jason D. Lee , Simon S. Du

We introduce a combinatorial optimization-enriched machine learning pipeline and a novel learning paradigm to solve inventory routing problems with stochastic demand and dynamic inventory updates. After each inventory update, our approach…

Optimization and Control · Mathematics 2024-02-08 Toni Greif , Louis Bouvier , Christoph M. Flath , Axel Parmentier , Sonja U. K. Rohmer , Thibaut Vidal

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

Data Structures and Algorithms · Computer Science 2020-06-11 Martin Olsen , Allan Gross

Online linear programming (OLP) has found broad applications in revenue management and resource allocation. State-of-the-art OLP algorithms achieve low regret by repeatedly solving linear programming (LP) subproblems that incorporate…

Machine Learning · Statistics 2025-11-04 Jingruo Sun , Wenzhi Gao , Ellen Vitercik , Yinyu Ye

We study the problem of modeling purchase of multiple products and utilizing it to display optimized recommendations for online retailers and e-commerce platforms. We present a parsimonious multi-purchase family of choice models called the…

Information Retrieval · Computer Science 2023-08-08 Theja Tulabandhula , Deeksha Sinha , Saketh Reddy Karra , Prasoon Patidar

We introduce a general model of resource allocation with customer choice. In this model, there are multiple resources that are available over a finite horizon. The resources are non-replenishable and perishable. Each unit of a resource can…

Optimization and Control · Mathematics 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang

We study the multinomial logit (MNL) bandit problem, where at each time step, the seller offers an assortment of size at most $K$ from a pool of $N$ items, and the buyer purchases an item from the assortment according to a MNL choice model.…

Machine Learning · Computer Science 2020-11-20 Jiaqi Yang

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We consider the assortment optimization problem with disjoint-cardinality constraints under two-level nested logit model. To solve this problem, we first identify a candidate set with $O(mn^2)$ assortments and show that at least one optimal…

Optimization and Control · Mathematics 2016-03-31 Tian Xie

In standard RL, a learner attempts to learn an optimal policy for a Markov Decision Process whose structure (e.g. state space) is known. In online model selection, a learner attempts to learn an optimal policy for an MDP knowing only that…

Machine Learning · Computer Science 2024-11-12 Alireza Masoumian , James R. Wright

In classic adversarial online resource allocation problems such as AdWords, customers arrive online while products are given offline with a fixed initial inventory. To ensure revenue guarantees under uncertainty, the decision maker must…

Data Structures and Algorithms · Computer Science 2025-11-21 Yiding Feng , Rad Niazadeh , Amin Saberi

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

Machine Learning · Computer Science 2019-04-09 Amit Daniely , Yishay Mansour

Ranking algorithms are fundamental to various online platforms across e-commerce sites to content streaming services. Our research addresses the challenge of adaptively ranking items from a candidate pool for heterogeneous users, a key…

Machine Learning · Computer Science 2024-06-10 Jingyuan Wang , Perry Dong , Ying Jin , Ruohan Zhan , Zhengyuan Zhou

In markets where customers tend to purchase baskets of products rather than single products, assortment optimization is a major challenge for retailers. Removing a product from a retailer's assortment can result in a severe drop in…

Optimization and Control · Mathematics 2025-11-18 Andrey Vasilyev , Sebastian Maier , Ralf W. Seifert

We consider online allocation problems with concave revenue functions and resource constraints, which are central problems in revenue management and online advertising. In these settings, requests arrive sequentially during a finite horizon…

Optimization and Control · Mathematics 2021-11-08 Haihao Lu , Santiago Balseiro , Vahab Mirrokni

Crowdfunding, which is the act of raising funds from a large number of people's contributions, is among the most popular research topics in economic theory. Due to the fact that crowdfunding platforms (CFPs) have facilitated the process of…

Mathematical Finance · Quantitative Finance 2022-07-18 Fatemeh Nosrat

Optimising queries in real-world situations under imperfect conditions is still a problem that has not been fully solved. We consider finding the optimal order in which to execute a given set of selection operators under partial ignorance…

Databases · Computer Science 2015-07-30 Khaled H. Alyoubi , Sven Helmer , Peter T. Wood

We study a two-sided market, wherein, price-sensitive heterogeneous customers and servers arrive and join their respective queues. A compatible customer-server pair can then be matched by the platform, at which point, they leave the system.…

Machine Learning · Computer Science 2025-10-17 Zixian Yang , Sushil Mahavir Varma , Lei Ying

We study an online linear optimization (OLO) problem in which the learner is provided access to $K$ "hint" vectors in each round prior to making a decision. In this setting, we devise an algorithm that obtains logarithmic regret whenever…

Machine Learning · Computer Science 2020-10-08 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit