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We study a family of distance functions on rankings that allow for asymmetric treatments of alternatives and consider the distinct relevance of the top and bottom positions for ordered lists. We provide a full axiomatic characterization of…

Computer Science and Game Theory · Computer Science 2024-03-28 Andrea Aveni , Ludovico Crippa , Giulio Principi

Standard decision theory seeks conditions under which a preference relation can be compressed into a single real-valued function. However, when preferences are incomplete or intransitive, a single function fails to capture the agent's…

Theoretical Economics · Economics 2026-02-05 Safal Raman Aryal

We study the utilitarian distortion of social choice mechanisms under the recently proposed learning-augmented framework where some (possibly unreliable) predicted information about the preferences of the agents is given as input. In…

Computer Science and Game Theory · Computer Science 2025-02-11 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

Learning to rank with implicit feedback is one of the most important tasks in many real-world information systems where the objective is some specific utility, e.g., clicks and revenue. However, we point out that existing methods based on…

Information Retrieval · Computer Science 2020-11-03 Xinyi Dai , Jiawei Hou , Qing Liu , Yunjia Xi , Ruiming Tang , Weinan Zhang , Xiuqiang He , Jun Wang , Yong Yu

An ordinal preference domain is a subset of preference orders that the voters are allowed to cast in an election. We introduce and study the notion of outer diversity of a domain and evaluate its value for a number of well-known structured…

Computer Science and Game Theory · Computer Science 2026-02-18 Piotr Faliszewski , Krzysztof Sornat , Stanisław Szufa , Tomasz Wąs

Rectangles are used to approximate objects, or sets of objects, in a plethora of applications, systems and index structures. Many tasks, such as nearest neighbor search and similarity ranking, require to decide if objects in one rectangle A…

Databases · Computer Science 2020-01-17 Tobias Emrich , Hans-Peter Kriegel , Andreas Züfle , Peer Kröger , Matthias Renz

Embedding models, which learn latent representations of users and items based on user-item interaction patterns, are a key component of recommendation systems. In many applications, contextual constraints need to be applied to refine…

Information Retrieval · Computer Science 2019-07-04 Syrine Krichene , Mike Gartrell , Clement Calauzenes

Preference Inference involves inferring additional user preferences from elicited or observed preferences, based on assumptions regarding the form of the user's preference relation. In this paper we consider a situation in which…

Logic in Computer Science · Computer Science 2024-09-18 Nic Wilson , Anne-Marie George , Barry O'Sullivan

Object ranking is an important problem in the realm of preference learning. On the basis of training data in the form of a set of rankings of objects, which are typically represented as feature vectors, the goal is to learn a ranking…

Machine Learning · Statistics 2018-12-07 Karlson Pfannschmidt , Pritha Gupta , Eyke Hüllermeier

How should one combine noisy information from diverse sources to make an inference about an objective ground truth? This frequently recurring, normative question lies at the core of statistics, machine learning, policy-making, and everyday…

Multiagent Systems · Computer Science 2020-01-29 Silviu Pitis , Michael R. Zhang

This paper considers the problem of randomly assigning a set of objects to a set of agents based on the ordinal preferences of agents. We generalize the well-known immediate acceptance algorithm to the afore-mentioned random environments…

Theoretical Economics · Economics 2021-04-20 Yajing Chen , Patrick Harless , Zhenhua Jiao

We discuss the application of random projections to the fundamental problem of deciding whether a given point in a Euclidean space belongs to a given set. We show that, under a number of different assumptions, the feasibility and…

Optimization and Control · Mathematics 2015-11-19 Ky Vu , Pierre-Louis Poirion , Leo Liberti

A ranking is an ordered sequence of items, in which an item with higher ranking score is more preferred than the items with lower ranking scores. In many information systems, rankings are widely used to represent the preferences over a set…

Artificial Intelligence · Computer Science 2017-09-22 Zhiwei Lin , Yi Li , Xiaolian Guo

We study ordinal approximation algorithms for maximum-weight bipartite matchings. Such algorithms only know the ordinal preferences of the agents/nodes in the graph for their preferred matches, but must compete with fully omniscient…

Computer Science and Game Theory · Computer Science 2017-07-07 Elliot Anshelevich , Wennan Zhu

Online reputation systems are commonly used by e-commerce providers nowadays. In order to generate an objective ranking of online items' quality according to users' ratings, many sophisticated algorithms have been proposed in the…

Information Retrieval · Computer Science 2014-11-19 Hao Liao , An Zeng , Yi-Cheng Zhang

Goods and services -- public housing, medical appointments, schools -- are often allocated to individuals who rank them similarly but differ in their preference intensities. We characterize optimal allocation rules when individual…

Theoretical Economics · Economics 2021-08-30 Pietro Ortoleva , Evgenii Safonov , Leeat Yariv

This paper contributes to an emerging literature that models votes and text in tandem to better understand polarization of expressed preferences. It introduces a new approach to estimate preference polarization in multidimensional settings,…

Computation and Language · Computer Science 2019-10-29 Caleb Pomeroy , Niheer Dasandi , Slava J. Mikhaylov

The Assignment problem is a fundamental and well-studied problem in the intersection of Social Choice, Computational Economics and Discrete Allocation. In the Assignment problem, a group of agents expresses preferences over a set of items,…

Data Structures and Algorithms · Computer Science 2021-05-24 Barak Steindl , Meirav Zehavi

Complex networks representing social interactions, brain activities, molecular structures have been studied widely to be able to understand and predict their characteristics as graphs. Models and algorithms for these networks are used in…

Social and Information Networks · Computer Science 2022-10-24 Murat Çelik , Ali Baran Taşdemir , Lale Özkahya

The construction of numerical value scales (or priority values) is a recurrent topic in decision-aiding research. However, in real contexts, uncertainty and limited cognitive precision often lead decision-makers to provide interval…

General Mathematics · Mathematics 2025-10-21 Diego García-Zamora , José Rui Figueira
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