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We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

Optimization and Control · Mathematics 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

Many machine learning problems require the prediction of multi-dimensional labels. Such structured prediction models can benefit from modeling dependencies between labels. Recently, several deep learning approaches to structured prediction…

Machine Learning · Computer Science 2018-02-14 Nataly Brukhim , Amir Globerson

A fundamental challenge in multiagent systems is to design local control algorithms to ensure a desirable collective behaviour. The information available to the agents, gathered either through communication or sensing, naturally restricts…

Computer Science and Game Theory · Computer Science 2018-10-30 Dario Paccagnan , Jason R. Marden

Ultra-reliability and low latency communication has long been an important but challenging task in the fifth and sixth generation wireless communication systems. Scheduling as many users as possible to serve on the limited time-frequency…

Information Theory · Computer Science 2021-09-10 Shiwen He , Jun Yuan , Zhenyu An , Yunshan Yi , Yongming Huang

Cardinality estimation is a fundamental task in database management systems, aiming to predict query results accurately without executing the queries. However, existing techniques either achieve low estimation accuracy or incur high…

Databases · Computer Science 2025-08-14 Yaoyu Zhu , Jintao Zhang , Guoliang Li , Jianhua Feng

The linear submodular bandit problem was proposed to simultaneously address diversified retrieval and online learning in a recommender system. If there is no uncertainty, this problem is equivalent to a submodular maximization problem under…

Machine Learning · Computer Science 2021-03-30 Sho Takemori , Masahiro Sato , Takashi Sonoda , Janmajay Singh , Tomoko Ohkuma

Optimization - minimization or maximization - in the lattice of subsets is a frequent operation in Artificial Intelligence tasks. Examples are subset-minimal model-based diagnosis, nonmonotonic reasoning by means of circumscription, or…

Artificial Intelligence · Computer Science 2016-12-23 Wolfgang Faber , Mauro Vallati , Federico Cerutti , Massimiliano Giacomin

Taking advantage of contextual information can potentially boost the performance of recommender systems. In the era of big data, such side information often has several dimensions. Thus, developing decision-making algorithms to cope with…

Machine Learning · Computer Science 2023-07-26 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

In this paper we address cardinality estimation problem which is an important subproblem in query optimization. Query optimization is a part of every relational DBMS responsible for finding the best way of the execution for the given query.…

Databases · Computer Science 2017-11-23 Oleg Ivanov , Sergey Bartunov

Cardinality estimation is a fundamental but long unresolved problem in query optimization. Recently, multiple papers from different research groups consistently report that learned models have the potential to replace existing cardinality…

Databases · Computer Science 2021-08-12 Xiaoying Wang , Changbo Qu , Weiyuan Wu , Jiannan Wang , Qingqing Zhou

Recommendation systems have wide-spread applications in both academia and industry. Traditionally, performance of recommendation systems has been measured by their precision. By introducing novelty and diversity as key qualities in…

Information Retrieval · Computer Science 2015-01-12 Amin Javari , Mahdi Jalili

Unexpected recommender system constitutes an important tool to tackle the problem of filter bubbles and user boredom, which aims at providing unexpected and satisfying recommendations to target users at the same time. Previous unexpected…

Information Retrieval · Computer Science 2020-07-28 Pan Li , Alexander Tuzhilin

Cardinality constrained bin packing or bin packing with cardinality constraints is a basic bin packing problem. In the online version with the parameter k \geq 2, items having sizes in (0,1] associated with them are presented one by one to…

Data Structures and Algorithms · Computer Science 2016-08-24 János Balogh , József Békési , György Dósa , Leah Epstein , Asaf Levin

The school choice problem concerns the design and implementation of matching mechanisms that produce school assignments for students within a given public school district. Previously considered criteria for evaluating proposed mechanisms…

Optimization and Control · Mathematics 2013-05-01 Sinan Aksoy , Alexander Adam Azzam , Chaya Coppersmith , Julie Glass , Gizem Karaali , Xueying Zhao , Xinjing Zhu

Typestate systems ensure many desirable properties of imperative programs, including initialization of object fields and correct use of stateful library interfaces. Abstract sets with cardinality constraints naturally generalize typestate…

Programming Languages · Computer Science 2013-02-14 Bruno Marnette , Viktor Kuncak , Martin Rinard

The design of modern recommender systems relies on understanding which parts of the feature space are relevant for solving a given recommendation task. However, real-world data sets in this domain are often characterized by their large…

Information Retrieval · Computer Science 2023-09-06 Blaž Škrlj , Blaž Mramor

Candidate retrieval is a fundamental issue in recommendation system. Given user's recommendation request, relevant candidates need to be retrieved in realtime for subsequent ranking operations. Considering that the retrieval operation is…

Information Retrieval · Computer Science 2019-10-22 Zheng Liu , Yu Xing , Jianxun Lian , Defu Lian , Ziyao Li , Xing Xie

CTR prediction plays a vital role in recommender systems. Recently, large language models (LLMs) have been applied in recommender systems due to their emergence abilities. While leveraging semantic information from LLMs has shown some…

Information Retrieval · Computer Science 2024-11-25 Chenxu Zhu , Shigang Quan , Bo Chen , Jianghao Lin , Xiaoling Cai , Hong Zhu , Xiangyang Li , Yunjia Xi , Weinan Zhang , Ruiming Tang

Ubiquitous information access becomes more and more important nowadays and research is aimed at making it adapted to users. Our work consists in applying machine learning techniques in order to bring a solution to some of the problems…

Machine Learning · Computer Science 2014-04-01 Djallel Bouneffouf

Cardinality estimation (CardEst) still remains a challenging problem for DBMS. Recent years have witnessed the success of ML-based cardinality estimators in outperforming traditional methods. However, these solutions suffer from poor…

Databases · Computer Science 2026-03-31 Liangzu Liu , Yiyan Wang , Yinjun Wu , Runze Su , Zhuo Chang , Peizhi Wu , Jianjun Chen , Fuxin Jiang , Rui Shi , Bin Cui , Tieying Zhang
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