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Fuzzy constraints are a popular approach to handle preferences and over-constrained problems in scenarios where one needs to be cautious, such as in medical or space applications. We consider here fuzzy constraint problems where some of the…

Artificial Intelligence · Computer Science 2009-09-25 Mirco Gelain , Maria Pini , Francesca Rossi , Brent Venable , Toby Walsh

In economic theory, an agent chooses from available alternatives -- modeled as a set. In decisions in the field or in the lab, however, agents do not have access to the set of alternatives at once. Instead, alternatives are represented by…

Computer Science and Game Theory · Computer Science 2021-11-09 Paulo Oliva , Philipp Zahn

Preference queries incorporate the notion of binary preference relation into relational database querying. Instead of returning all the answers, such queries return only the best answers, according to a given preference relation. Preference…

Databases · Computer Science 2010-09-01 Denis Mindolin , Jan Chomicki

In order to represent the preferences of a group of individuals, we introduce Probabilistic CP-nets (PCP-nets). PCP-nets provide a compact language for representing probability distributions over preference orderings. We argue that they are…

Artificial Intelligence · Computer Science 2013-09-27 Damien Bigot , Bruno Zanuttini , Helene Fargier , Jerome Mengin

Feature selection is popular for obtaining small, interpretable, yet highly accurate prediction models. Conventional feature-selection methods typically yield one feature set only, which might not suffice in some scenarios. For example,…

Machine Learning · Computer Science 2025-02-07 Jakob Bach

Matrix factorization is a key component of collaborative filtering-based recommendation systems because it allows us to complete sparse user-by-item ratings matrices under a low-rank assumption that encodes the belief that similar users…

Machine Learning · Statistics 2016-04-22 Aleksandr Y. Aravkin , Kush R. Varshney , Liu Yang

Recommender systems play a critical role in enhancing user experience by providing personalized suggestions based on user preferences. Traditional approaches often rely on explicit numerical ratings or assume access to fully ranked lists of…

Information Retrieval · Computer Science 2025-08-22 Bahar Boroomand , James R. Wright

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

Computer Science and Game Theory · Computer Science 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

Recommendation Systems apply Information Retrieval techniques to select the online information relevant to a given user. Collaborative Filtering is currently most widely used approach to build Recommendation System. CF techniques uses the…

Information Retrieval · Computer Science 2015-03-26 Dheeraj kumar Bokde , Sheetal Girase , Debajyoti Mukhopadhyay

What is a fair performance metric? We consider the choice of fairness metrics through the lens of metric elicitation -- a principled framework for selecting performance metrics that best reflect implicit preferences. The use of metric…

Machine Learning · Statistics 2020-11-04 Gaurush Hiranandani , Harikrishna Narasimhan , Oluwasanmi Koyejo

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

Data Structures and Algorithms · Computer Science 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

Cold-start challenges in recommender systems necessitate leveraging auxiliary features beyond user-item interactions. However, the presence of irrelevant or noisy features can degrade predictive performance, whereas an excessive number of…

Information Retrieval · Computer Science 2025-08-11 Nikita Sukhorukov , Danil Gusak , Evgeny Frolov

Bidders in combinatorial auctions face significant challenges when describing their preferences to an auctioneer. Classical work on preference elicitation focuses on query-based techniques inspired from proper learning--often via proxies…

Computer Science and Game Theory · Computer Science 2025-12-23 David Huang , Francisco Marmolejo-Cossío , Edwin Lock , David Parkes

In this paper an interesting application of mathematics in economics is presented: the formulation of the theory of consumer basic problem, grounded on the concept of preferences relation and operationalized with optimization tools.

Optimization and Control · Mathematics 2021-11-10 Manuel Alberto M. Ferreira , José António Filipe

Optimal shelflisting invites profit maximization to become sensitive to the ways in which purchasing decisions are order-dependent. We study the computational complexity of the corresponding product arrangement problem when consumers are…

Computer Science and Game Theory · Computer Science 2016-11-15 Yongjie Yang , Dinko Dimitrov

For minimization problems without 2nd derivative information, methods that estimate Hessian matrices can be very effective. However, conventional techniques generate dense matrices that are prohibitive for large problems. Limited-memory…

Optimization and Control · Mathematics 2025-01-22 Johannes J. Brust

In classic reinforcement learning (RL) and decision making problems, policies are evaluated with respect to a scalar reward function, and all optimal policies are the same with regards to their expected return. However, many real-world…

Machine Learning · Computer Science 2023-11-02 Han Shao , Lee Cohen , Avrim Blum , Yishay Mansour , Aadirupa Saha , Matthew R. Walter

Qualitative Choice Logic (QCL) and Conjunctive Choice Logic (CCL) are formalisms for preference handling, with especially QCL being well established in the field of AI. So far, analyses of these logics need to be done on a case-by-case…

Logic in Computer Science · Computer Science 2021-06-10 Michael Bernreiter , Jan Maly , Stefan Woltran

The handling of user preferences is becoming an increasingly important issue in present-day information systems. Among others, preferences are used for information filtering and extraction to reduce the volume of data presented to the user.…

Databases · Computer Science 2007-05-23 Jan Chomicki

Real-world engineering systems are typically compared and contrasted using multiple metrics. For practical machine learning systems, performance tuning is often more nuanced than minimizing a single expected loss objective, and it may be…

Optimization and Control · Mathematics 2016-12-19 Ian Dewancker , Michael McCourt , Samuel Ainsworth
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