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We study the fundamental problem of offline assortment optimization under the Multinomial Logit (MNL) model, where sellers must determine the optimal subset of the products to offer based solely on historical customer choice data. While…

Machine Learning · Statistics 2025-08-26 Yuxuan Han , Han Zhong , Miao Lu , Jose Blanchet , Zhengyuan Zhou

In applications such as recommendation systems and revenue management, it is important to predict preferences on items that have not been seen by a user or predict outcomes of comparisons among those that have never been compared. A popular…

Machine Learning · Computer Science 2015-06-29 Sewoong Oh , Kiran K. Thekumparampil , Jiaming Xu

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

The problem of reinforcement learning in an unknown and discrete Markov Decision Process (MDP) under the average-reward criterion is considered, when the learner interacts with the system in a single stream of observations, starting from an…

Machine Learning · Statistics 2018-03-06 Mohammad Sadegh Talebi , Odalric-Ambrym Maillard

We study lifelong reinforcement learning (RL) in a regret minimization setting of linear contextual Markov decision process (MDP), where the agent needs to learn a multi-task policy while solving a streaming sequence of tasks. We propose an…

Machine Learning · Computer Science 2022-06-02 Sanae Amani , Lin F. Yang , Ching-An Cheng

We study the piecewise stationary combinatorial semi-bandit problem with causally related rewards. In our nonstationary environment, variations in the base arms' distributions, causal relationships between rewards, or both, change the…

Machine Learning · Computer Science 2023-07-27 Behzad Nourani-Koliji , Steven Bilaj , Amir Rezaei Balef , Setareh Maghsudi

In this paper we consider multi-objective reinforcement learning where the objectives are balanced using preferences. In practice, the preferences are often given in an adversarial manner, e.g., customers can be picky in many applications.…

Machine Learning · Computer Science 2021-10-29 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

We study multinomial logit bandit with limited adaptivity, where the algorithms change their exploration actions as infrequently as possible when achieving almost optimal minimax regret. We propose two measures of adaptivity: the assortment…

Machine Learning · Computer Science 2020-07-10 Kefan Dong , Yingkai Li , Qin Zhang , Yuan Zhou

Personalization is a crucial aspect of many online experiences. In particular, content ranking is often a key component in delivering sophisticated personalization results. Commonly, supervised learning-to-rank methods are applied, which…

Machine Learning · Computer Science 2020-04-29 Beyza Ermis , Patrick Ernst , Yannik Stein , Giovanni Zappella

We study a new class of MDPs that employs multinomial logit (MNL) function approximation to ensure valid probability distributions over the state space. Despite its significant benefits, incorporating the non-linear function raises…

Machine Learning · Computer Science 2025-01-17 Long-Fei Li , Yu-Jie Zhang , Peng Zhao , Zhi-Hua Zhou

Multi-armed bandit (MAB) is a class of online learning problems where a learning agent aims to maximize its expected cumulative reward while repeatedly selecting to pull arms with unknown reward distributions. We consider a scenario where…

Machine Learning · Statistics 2019-01-25 Yang Cao , Zheng Wen , Branislav Kveton , Yao Xie

Motivated by modern-day applications such as Attended Home Delivery and Preference-based Group Scheduling, where decision makers wish to steer a large number of customers toward choosing the exact same alternative, we introduce a novel…

Optimization and Control · Mathematics 2025-02-13 Omar El Housni , Marouane Ibn Brahim , Danny Segev

Motivated by the strategic participation of electricity producers in electricity day-ahead market, we study the problem of online learning in repeated multi-unit uniform price auctions focusing on the adversarial opposing bid setting. The…

Computer Science and Game Theory · Computer Science 2025-01-20 Marius Potfer , Dorian Baudry , Hugo Richard , Vianney Perchet , Cheng Wan

In this paper, we investigate the impact of diverse user preference on learning under the stochastic multi-armed bandit (MAB) framework. We aim to show that when the user preferences are sufficiently diverse and each arm can be optimal for…

Machine Learning · Computer Science 2022-11-11 Chao Gan , Jing Yang , Ruida Zhou , Cong Shen

The statistical framework of Generalized Linear Models (GLM) can be applied to sequential problems involving categorical or ordinal rewards associated, for instance, with clicks, likes or ratings. In the example of binary rewards, logistic…

Machine Learning · Computer Science 2020-03-24 Yoan Russac , Olivier Cappé , Aurélien Garivier

We investigate the problem of online learning, which has gained significant attention in recent years due to its applicability in a wide range of fields from machine learning to game theory. Specifically, we study the online optimization of…

Machine Learning · Computer Science 2021-09-29 Kaan Gokcesu , Hakan Gokcesu

In transportation, the number of observations associated with one discrete outcome is often greatly different from the number of observations associated with another discrete outcome. This situation is known as class-imbalance. In…

Applications · Statistics 2018-05-14 Timothy Brathwaite , Joan L. Walker

We study the problem of pricing under a Multinomial Logit model where we incorporate network effects over the consumer's decisions. We analyse both cases, when sellers compete or collaborate. In particular, we pay special attention to the…

Computer Science and Game Theory · Computer Science 2020-05-08 Felipe Maldonado , Gerardo Berbeglia , Pascal Van Hentenryck

We consider model selection for classic Reinforcement Learning (RL) environments -- Multi Armed Bandits (MABs) and Markov Decision Processes (MDPs) -- under general function approximations. In the model selection framework, we do not know…

Machine Learning · Statistics 2022-07-08 Avishek Ghosh , Sayak Ray Chowdhury

We consider the problem of static assortment optimization, where the goal is to find the assortment of size at most $C$ that maximizes revenues. This is a fundamental decision problem in the area of Operations Management. It has been shown…

Methodology · Statistics 2011-08-19 Vivek Farias , Srikanth Jagabathula , Devavrat Shah