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We consider the product knapsack problem, which is the variant of the classical 0-1 knapsack problem where the objective consists of maximizing the product of the profits of the selected items. These profits are allowed to be positive or…

Optimization and Control · Mathematics 2021-06-29 Ulrich Pferschy , Joachim Schauer , Clemens Thielen

Preference orderings are orderings of a set of items according to the preferences (of judges). Such orderings arise in a variety of domains, including group decision making, consumer marketing, voting and machine learning. Measuring the…

Artificial Intelligence · Computer Science 2016-10-17 Zhiwei Lin , Hui Wang , Cees H. Elzinga

The growth of e-commerce has seen a surge in popularity of platforms like Amazon, eBay, and Taobao. This has given rise to a unique shopping behavior involving baskets - sets of items purchased together. As a less studied interaction mode…

Information Retrieval · Computer Science 2023-12-04 Xinrui He , Tianxin Wei , Jingrui He

Ranking is a central task in machine learning and information retrieval. In this task, it is especially important to present the user with a slate of items that is appealing as a whole. This in turn requires taking into account interactions…

Information Retrieval · Computer Science 2019-03-21 Irwan Bello , Sayali Kulkarni , Sagar Jain , Craig Boutilier , Ed Chi , Elad Eban , Xiyang Luo , Alan Mackey , Ofer Meshi

Next-basket recommendation (NBR) is prevalent in e-commerce and retail industry. In this scenario, a user purchases a set of items (a basket) at a time. NBR performs sequential modeling and recommendation based on a sequence of baskets. NBR…

Information Retrieval · Computer Science 2020-06-02 Haoji Hu , Xiangnan He , Jinyang Gao , Zhi-Li Zhang

Repurchase behavior is a primary signal in large-scale retail recommendation, particularly in categories with frequent replenishment: many items in a user's next basket were previously purchased, and their timing follows stable,…

Information Retrieval · Computer Science 2026-04-28 Yanan Cao , Ashish Ranjan , Sinduja Subramaniam , Evren Korpeoglu , Kaushiki Nag , Kannan Achan

Maximizing submodular functions have been studied extensively for a wide range of subset-selection problems. However, much less attention has been given to the role of submodularity in sequence-selection and ranking problems. A…

Data Structures and Algorithms · Computer Science 2023-01-18 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

Recommender systems are one of the most successful applications of machine learning and data science. They are successful in a wide variety of application domains, including e-commerce, media streaming content, email marketing, and…

Information Retrieval · Computer Science 2023-04-04 Juan Pablo Equihua , Maged Ali , Henrik Nordmark , Berthold Lausen

We consider a feature-based personalized pricing problem in which the buyer is strategic: given the seller's pricing policy, the buyer can augment the features that they reveal to the seller to obtain a low price for the product. We model…

Optimization and Control · Mathematics 2024-08-19 Zhi Chen , Bradley Sturt , Weijun Xie

A sequential design problem for rank aggregation is commonly encountered in psychology, politics, marketing, sports, etc. In this problem, a decision maker is responsible for ranking $K$ items by sequentially collecting pairwise noisy…

Methodology · Statistics 2017-10-18 Xi Chen , Yunxiao Chen , Xiaoou Li

Recommender systems based on latent factor models have been effectively used for understanding user interests and predicting future actions. Such models work by projecting the users and items into a smaller dimensional space, thereby…

Databases · Computer Science 2012-07-03 Bhargav Kanagal , Amr Ahmed , Sandeep Pandey , Vanja Josifovski , Jeff Yuan , Lluis Garcia-Pueyo

We consider the problem of semantic matching in product search: given a customer query, retrieve all semantically related products from a huge catalog of size 100 million, or more. Because of large catalog spaces and real-time latency…

Learning user preferences for products based on their past purchases or reviews is at the cornerstone of modern recommendation engines. One complication in this learning task is that some users are more likely to purchase products or review…

Information Retrieval · Computer Science 2023-03-08 Wanning Chen , Mohsen Bayati

We study the problem of finding the optimal assortment that maximizes expected revenue under the decision forest model, a recently proposed nonparametric choice model that is capable of representing any discrete choice model and in…

Optimization and Control · Mathematics 2025-12-17 Yi-Chun Akchen , Velibor V. Mišić

Personalized storefronts in large e-commerce marketplaces are often assembled from many independent components: static themes per page section ("placement"), retrieval systems to fetch eligible products per placement, and pointwise rankers…

Artificial Intelligence · Computer Science 2026-05-18 Moein Hasani , Hamidreza Shahidi , Trace Levinson , Yuan Zhong , Guanghua Shu , Vinesh Gudla , Tejaswi Tenneti

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

Numerous combinatorial optimization problems (knapsack, maximum-weight matching, etc.) can be expressed as \emph{subset maximization problems}: One is given a ground set $N=\{1,\dots,n\}$, a collection $\mathcal{F}\subseteq 2^N$ of subsets…

Data Structures and Algorithms · Computer Science 2019-05-13 Evripidis Bampis , Bruno Escoffier , Kevin Schewior , Alexandre Teiller

We present pricing mechanisms for several online resource allocation problems which obtain tight or nearly tight approximations to social welfare. In our settings, buyers arrive online and purchase bundles of items; buyers' values for the…

Computer Science and Game Theory · Computer Science 2018-07-16 Shuchi Chawla , J. Benjamin Miller , Yifeng Teng

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

We study an online learning problem on dynamic pricing and resource allocation, where we make joint pricing and inventory decisions to maximize the overall net profit. We consider the stochastic dependence of demands on the price, which…

Machine Learning · Computer Science 2025-05-23 Jianyu Xu , Xuan Wang , Yu-Xiang Wang , Jiashuo Jiang
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