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While single-purchase choice models have been widely studied in assortment optimization, customers in modern retail and e-commerce environments often purchase multiple items across distinct product categories, exhibiting both substitution…

Optimization and Control · Mathematics 2025-10-03 Omar El Housni , Shuo Sun , Rajan Udwani

A Multinomial Logit (MNL) model is composed of a finite universe of items $[n]=\{1,..., n\}$, each assigned a positive weight. A query specifies an admissible subset -- called a slate -- and the model chooses one item from that slate with…

Data Structures and Algorithms · Computer Science 2026-01-09 Flavio Chierichetti , Mirko Giacchini , Ravi Kumar , Silvio Lattanzi , Alessandro Panconesi , Erasmo Tani , Andrew Tomkins

The multiple-choice knapsack problem (MCKP) is a classic NP-hard combinatorial optimization problem. Motivated by several significant real-world applications, this work investigates a novel variant of MCKP called chance-constrained…

Neural and Evolutionary Computing · Computer Science 2023-12-18 Xuanfeng Li , Shengcai Liu , Jin Wang , Xiao Chen , Yew-Soon Ong , Ke Tang

The question of aggregating pair-wise comparisons to obtain a global ranking over a collection of objects has been of interest for a very long time: be it ranking of online gamers (e.g. MSR's TrueSkill system) and chess players, aggregating…

Machine Learning · Computer Science 2015-11-13 Sahand Negahban , Sewoong Oh , Devavrat Shah

This paper considers trial-offer markets where consumer preferences are modeled by a multinomial logit with social influence and position bias. The social signal for a product is given by its current market share raised to power r (or…

Social and Information Networks · Computer Science 2017-11-06 Felipe Maldonado , Pascal Van Hentenryck , Gerardo Berbeglia , Franco Berbeglia

This paper proposes a new method for solving the well-known rank aggregation problem from pairwise comparisons using the method of low-rank matrix completion. The partial and noisy data of pairwise comparisons is transformed into a matrix…

Machine Learning · Statistics 2018-06-15 Tal Levy , Alireza Vahid , Raja Giryes

Deep neural networks (DNNs) have revolutionized web-scale ranking systems, enabling breakthroughs in capturing complex user behaviors and driving performance gains. At DoorDash, we first harnessed this transformative power by transitioning…

Machine Learning · Computer Science 2025-02-28 Di Li , Xiaochang Miao , Huiyu Song , Chao Chu , Hao Xu , Mandar Rahurkar

Popularity bias is a well-known phenomenon in recommender systems: popular items are recommended even more frequently than their popularity would warrant, amplifying long-tail effects already present in many recommendation domains. Prior…

Information Retrieval · Computer Science 2020-07-27 Himan Abdollahpouri , Masoud Mansoury , Robin Burke , Bamshad Mobasher

In e-commerce platforms such as Amazon and TaoBao, ranking items in a search session is a typical multi-step decision-making problem. Learning to rank (LTR) methods have been widely applied to ranking problems. However, such methods often…

Machine Learning · Computer Science 2018-05-24 Yujing Hu , Qing Da , Anxiang Zeng , Yang Yu , Yinghui Xu

Consider the following problem faced by an online voting platform: A user is provided with a list of alternatives, and is asked to rank them in order of preference using only drag-and-drop operations. The platform's goal is to recommend an…

Human-Computer Interaction · Computer Science 2019-05-30 Haoming Li , Sujoy Sikdar , Rohit Vaish , Junming Wang , Lirong Xia , Chaonan Ye

This paper introduces RankMatch, an innovative approach for Semi-Supervised Label Distribution Learning (SSLDL). Addressing the challenge of limited labeled data, RankMatch effectively utilizes a small number of labeled examples in…

Machine Learning · Computer Science 2023-12-12 Kouzhiqiang Yucheng Xie , Jing Wang , Yuheng Jia , Boyu Shi , Xin Geng

Sponsored product advertisements constitute a major revenue source for online marketplaces such as Amazon, Walmart, and Alibaba. A key operational challenge in these systems lies in the Sponsored Listings Ranking (SLR) problem, that is,…

General Economics · Economics 2025-11-13 Haihao Lu , Luyang Zhang , Yuting Zhu

Estimating consumer preferences is central to many problems in economics and marketing. This paper develops a flexible framework for learning individual preferences from partial ranking information by interpreting observed rankings as…

Machine Learning · Statistics 2026-02-19 Yu-Chang Chen , Chen Chian Fuh , Shang En Tsai

Conventional Learning-to-Rank (LTR) methods optimize the utility of the rankings to the users, but they are oblivious to their impact on the ranked items. However, there has been a growing understanding that the latter is important to…

Machine Learning · Computer Science 2019-06-28 Ashudeep Singh , Thorsten Joachims

We introduce a novel class of algorithms to efficiently approximate the unknown return distributions in policy evaluation problems from distributional reinforcement learning (DRL). The proposed distributional dynamic programming algorithms…

Machine Learning · Statistics 2024-07-22 Julian Gerstenberg , Ralph Neininger , Denis Spiegel

Learning to Rank (LTR) technique is ubiquitous in the Information Retrieval system nowadays, especially in the Search Ranking application. The query-item relevance labels typically used to train the ranking model are often noisy…

Information Retrieval · Computer Science 2022-07-11 Debabrata Mahapatra , Chaosheng Dong , Yetian Chen , Deqiang Meng , Michinari Momma

Deep neural networks has become the first choice for researchers working on algorithmic aspects of learning-to-rank. Unfortunately, it is not trivial to find the optimal setting of hyper-parameters that achieves the best ranking…

Information Retrieval · Computer Science 2020-09-01 Hai-Tao Yu

The classic Mallows model is a foundational tool for modeling user preferences. However, it has limitations in capturing real-world scenarios, where users often focus only on a limited set of preferred items and are indifferent to the rest.…

Machine Learning · Computer Science 2025-10-28 Shahrzad Haddadan , Sara Ahmadian

We consider a bilevel continuous knapsack problem where the leader controls the capacity of the knapsack, while the follower chooses a feasible packing maximizing his own profit. The leader's aim is to optimize a linear objective function…

Data Structures and Algorithms · Computer Science 2022-07-19 Christoph Buchheim , Dorothee Henke , Jannik Irmai

This paper studies human preference learning based on partially revealed choice behavior and formulates the problem as a generalized Bradley-Terry-Luce (BTL) ranking model that accounts for heterogeneous preferences. Specifically, we assume…

Methodology · Statistics 2025-09-03 Jianqing Fan , Hyukjun Kwon , Xiaonan Zhu
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