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Motivated by e-commerce, we study the online assortment optimization problem. The seller offers an assortment, i.e. a subset of products, to each arriving customer, who then purchases one or no product from her offered assortment. A…

机器学习 · 计算机科学 2017-04-04 Wang Chi Cheung , David Simchi-Levi

We consider the dynamic assortment optimization problem under the multinomial logit model (MNL) with unknown utility parameters. The main question investigated in this paper is model mis-specification under the $\varepsilon$-contamination…

机器学习 · 统计学 2022-07-12 Xi Chen , Akshay Krishnamurthy , Yining Wang

We study the dynamic assortment planning problem, where for each arriving customer, the seller offers an assortment of substitutable products and customer makes the purchase among offered products according to an uncapacitated multinomial…

机器学习 · 统计学 2019-02-11 Xi Chen , Yining Wang , Yuan Zhou

We study an online joint assortment-inventory optimization problem, in which we assume that the choice behavior of each customer follows the Multinomial Logit (MNL) choice model, and the attraction parameters are unknown a priori. The…

机器学习 · 计算机科学 2025-01-03 Yong Liang , Xiaojie Mao , Shiyuan Wang

We consider a dynamic assortment selection problem where a seller has a fixed inventory of $N$ substitutable products and faces an unknown demand that arrives sequentially over $T$ periods. In each period, the seller needs to decide on the…

机器学习 · 计算机科学 2024-01-25 Abdellah Aznag , Vineet Goyal , Noemie Perivier

We consider a dynamic assortment selection problem, where in every round the retailer offers a subset (assortment) of $N$ substitutable products to a consumer, who selects one of these products according to a multinomial logit (MNL) choice…

机器学习 · 计算机科学 2018-07-03 Shipra Agrawal , Vashist Avadhanula , Vineet Goyal , Assaf Zeevi

We consider a sequential assortment selection problem where the user choice is given by a multinomial logit (MNL) choice model whose parameters are unknown. In each period, the learning agent observes a $d$-dimensional contextual…

机器学习 · 统计学 2021-03-26 Min-hwan Oh , Garud Iyengar

In this short note we consider a dynamic assortment planning problem under the capacitated multinomial logit (MNL) bandit model. We prove a tight lower bound on the accumulated regret that matches existing regret upper bounds for all…

机器学习 · 统计学 2018-10-01 Xi Chen , Yining Wang

In this paper, we consider the contextual variant of the MNL-Bandit problem. More specifically, we consider a dynamic set optimization problem, where a decision-maker offers a subset (assortment) of products to a consumer and observes the…

机器学习 · 计算机科学 2024-04-16 Priyank Agrawal , Theja Tulabandhula , Vashist Avadhanula

Learning the optimal ordering of content is an important challenge in website design. The learning to rank (LTR) framework models this problem as a sequential problem of selecting lists of content and observing where users decide to click.…

机器学习 · 计算机科学 2023-05-12 James A. Grant , David S. Leslie

In this paper, we study the contextual multinomial logit (MNL) bandit problem in which a learning agent sequentially selects an assortment based on contextual information, and user feedback follows an MNL choice model. There has been a…

机器学习 · 统计学 2025-10-17 Joongkyu Lee , Min-hwan Oh

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.…

机器学习 · 计算机科学 2020-11-20 Jiaqi Yang

Assortment optimization has received active explorations in the past few decades due to its practical importance. Despite the extensive literature dealing with optimization algorithms and latent score estimation, uncertainty quantification…

机器学习 · 统计学 2023-05-05 Shuting Shen , Xi Chen , Ethan X. Fang , Junwei Lu

We study a stylized dynamic assortment planning problem during a selling season of finite length $T$. At each time period, the seller offers an arriving customer an assortment of substitutable products and the customer makes the purchase…

机器学习 · 统计学 2021-02-22 Xi Chen , Chao Shi , Yining Wang , Yuan Zhou

Assortment optimization is a critical tool for online retailers aiming to maximize revenue. However, optimizing purely for revenue can lead to unbalanced sales across products, potentially causing a long tail of low-selling products and…

计算机科学与博弈论 · 计算机科学 2026-03-16 Omar El Housni , Qing Feng , Huseyin Topaloglu

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…

机器学习 · 统计学 2025-08-26 Yuxuan Han , Han Zhong , Miao Lu , Jose Blanchet , Zhengyuan Zhou

In this paper, we study the dynamic assortment optimization problem under a finite selling season of length $T$. At each time period, the seller offers an arriving customer an assortment of substitutable products under a cardinality…

计量经济学 · 经济学 2019-01-21 Xi Chen , Yining Wang , Yuan Zhou

In this study, we investigate the problem of dynamic multi-product selection and pricing by introducing a novel framework based on a \textit{censored multinomial logit} (C-MNL) choice model. In this model, sellers present a set of products…

机器学习 · 统计学 2025-04-04 Jung-hun Kim , Min-hwan Oh

Out of the rich family of generalized linear bandits, perhaps the most well studied ones are logisitc bandits that are used in problems with binary rewards: for instance, when the learner/agent tries to maximize the profit over a user that…

机器学习 · 计算机科学 2021-03-23 Sanae Amani , Christos Thrampoulidis

We study optimal experimental design for multinomial logit (MNL) bandits, where an agent repeatedly selects a subset of $K$ items from a ground set of size $N$ and observes single-choice feedback. Unlike linear or generalized linear…

机器学习 · 统计学 2026-05-26 Joongkyu Lee , Min-hwan Oh
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