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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

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 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

A key distinguishing feature of conversational recommender systems over traditional recommender systems is their ability to elicit user preferences using natural language. Currently, the predominant approach to preference elicitation is to…

Information Retrieval · Computer Science 2025-04-09 Ivica Kostric , Krisztian Balog , Filip Radlinski

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

We introduce a simple, accurate, and extremely efficient method for numerically solving the multi-marginal optimal transport (MMOT) problems arising in density functional theory. The method relies on (i) the sparsity of optimal plans [for…

Machine Learning · Computer Science 2021-03-24 Gero Friesecke , Andreas S. Schulz , Daniela Vögler

Design is a factor that plays an important role in consumer purchase decisions. As the need for understanding and predicting various preferences for each customer increases along with the importance of mass customization, predicting…

Human-Computer Interaction · Computer Science 2024-05-14 Dongju Shin , Sunghee Lee , Namwoo Kang

We propose a continuous optimization algorithm for the Column Subset Selection Problem (CSSP) and Nystr\"om approximation. The CSSP and Nystr\"om method construct low-rank approximations of matrices based on a predetermined subset of…

Methodology · Statistics 2023-04-20 Anant Mathur , Sarat Moka , Zdravko Botev

To enable the transition from fossil fuels towards renewable energy, the low-voltage grid needs to be reinforced at a faster pace and on a larger scale than was historically the case. To efficiently plan reinforcements, one needs to…

Applications · Statistics 2024-11-11 J. Soenen , A. Yurtman , T. Becker , K. Vanthournout , H. Blockeel

In this paper, we introduce a new optimization approach to Entity Resolution. Traditional approaches tackle entity resolution with hierarchical clustering, which does not benefit from a formal optimization formulation. In contrast, we model…

Artificial Intelligence · Computer Science 2020-02-24 Vishnu Suresh Lokhande , Shaofei Wang , Maneesh Singh , Julian Yarkony

Over the last few decades, researchers have made considerable efforts to make decision support more accessible for small and medium enterprises by reducing the cost of designing, developing and maintaining automated decision support…

Software Engineering · Computer Science 2025-04-07 Daniel Karapetyan

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

E-commerce platforms have a vast catalog of items to cater to their customers' shopping interests. Most of these platforms assist their customers in the shopping process by offering optimized recommendation carousels, designed to help…

Information Retrieval · Computer Science 2025-08-18 Shanu Vashishtha , Abhay Kumar , Lalitesh Morishetti , Kaushiki Nag , Kannan Achan

We present a way to create small yet difficult model counting instances. Our generator is highly parameterizable: the number of variables of the instances it produces, as well as their number of clauses and the number of literals in each…

Artificial Intelligence · Computer Science 2022-12-07 Guillaume Escamocher , Barry O'Sullivan

Accurate prediction of users' responses to items is one of the main aims of many computational advising applications. Examples include recommending movies, news articles, songs, jobs, clothes, books and so forth. Accurate prediction of…

Applications · Statistics 2022-12-20 Baode Gao , Guangpeng Zhan , Hanzhang Wang , Yiming Wang , Shengxin Zhu

Molecule generation is central to a variety of applications. Current attention has been paid to approaching the generation task as subgraph prediction and assembling. Nevertheless, these methods usually rely on hand-crafted or external…

Machine Learning · Computer Science 2022-12-20 Xiangzhe Kong , Wenbing Huang , Zhixing Tan , Yang Liu

This paper considers the problem of matrix completion when some number of the columns are completely and arbitrarily corrupted, potentially by a malicious adversary. It is well-known that standard algorithms for matrix completion can return…

Machine Learning · Statistics 2016-04-26 Yudong Chen , Huan Xu , Constantine Caramanis , Sujay Sanghavi

We consider the problem of learning the preferences of a heterogeneous population by observing choices from an assortment of products, ads, or other offerings. Our observation model takes a form common in assortment planning applications:…

Machine Learning · Statistics 2016-06-09 Nathan Kallus , Madeleine Udell

Many data-driven decision problems are formulated using a nominal distribution estimated from historical data, while performance is ultimately determined by a deployment distribution that may be shifted, context-dependent, partially…

Machine Learning · Computer Science 2026-04-07 Xiuyuan Cheng , Yunqin Zhu , Yao Xie

We propose a fast algorithm for computing the GMM estimator in the BLP demand model (Berry, Levinsohn, and Pakes, 1995). Inspired by nested pseudo-likelihood methods for dynamic discrete choice models, our approach avoids repeatedly solving…

Econometrics · Economics 2026-02-09 Victor Aguirregabiria , Hui Liu , Yao Luo