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We consider preference disaggregation in the context of multiple criteria sorting. The value function parameters and thresholds separating the classes are inferred from the Decision Maker's (DM's) assignment examples. Given the multiplicity…

Machine Learning · Statistics 2022-09-07 Michał Wójcik , Miłosz Kadziński , Krzysztof Ciomek

The fair division of indivisible goods is not only a subject of theoretical research, but also an important problem in practice, with solutions being offered on several online platforms. Little is known, however, about the characteristics…

Computer Science and Game Theory · Computer Science 2025-05-07 Paula Böhm , Robert Bredereck , Paul Gölz , Andrzej Kaczmarczyk , Stanisław Szufa

We study a two-sided matching model where one side of the market (hospitals) has combinatorial preferences over the other side (doctors). Specifically, we consider the setting where hospitals have matroid rank valuations over the doctors,…

Computer Science and Game Theory · Computer Science 2025-02-28 Alon Eden , Vignesh Viswanathan , Yair Zick

We study the problem of optimal subset selection from a set of correlated random variables. In particular, we consider the associated combinatorial optimization problem of maximizing the determinant of a symmetric positive definite matrix…

Computation · Statistics 2019-07-12 Yu Wang , Nhu D. Le , James V. Zidek

Motivated by applications such as voluntary carbon markets and educational testing, we consider a market for goods with varying but hidden levels of quality in the presence of a third-party certifier. The certifier can provide informative…

Computer Science and Game Theory · Computer Science 2023-02-01 Andreas A. Haupt , Nicole Immorlica , Brendan Lucier

We introduce a model of fair division with market values, where indivisible goods must be partitioned among agents with (additive) subjective valuations, and each good additionally has a market value. The market valuation can be viewed as a…

Computer Science and Game Theory · Computer Science 2024-10-31 Siddharth Barman , Soroush Ebadian , Mohamad Latifian , Nisarg Shah

We present a preference learning framework for multiple criteria sorting. We consider sorting procedures applying an additive value model with diverse types of marginal value functions (including linear, piecewise-linear, splined, and…

Machine Learning · Computer Science 2019-10-15 Jiapeng Liu , Milosz Kadzinski , Xiuwu Liao , Xiaoxin Mao , Yao Wang

Streaming submodular maximization is a natural model for the task of selecting a representative subset from a large-scale dataset. If datapoints have sensitive attributes such as gender or race, it becomes important to enforce fairness to…

Machine Learning · Computer Science 2025-11-25 Marwa El Halabi , Federico Fusco , Ashkan Norouzi-Fard , Jakab Tardos , Jakub Tarnawski

We extend the definitions of upper and lower valuations on partially ordered sets, and consider the metrics they induce, in particular the metrics available (or not) based on the logarithms of such valuations. Motivating applications in…

Combinatorics · Mathematics 2009-03-17 Chris Orum , Cliff A Joslyn

This paper presents an efficient preference elicitation framework for uncertain matroid optimization, where precise weight information is unavailable, but insights into possible weight values are accessible. The core innovation of our…

Machine Learning · Computer Science 2025-03-26 Aditya Sai Ellendula , Arun K Pujari , Vikas Kumar , Venkateswara Rao Kagita

Rankings are ubiquitous in the online world today. As we have transitioned from finding books in libraries to ranking products, jobs, job applicants, opinions and potential romantic partners, there is a substantial precedent that ranking…

Information Retrieval · Computer Science 2018-10-18 Ashudeep Singh , Thorsten Joachims

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

Theoretical Economics · Economics 2019-09-26 Moshe Babaioff , Uriel Feige

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

Neural and Evolutionary Computing · Computer Science 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt

The definition of preferences assigned to individuals is a concept that concerns many disciplines, from economics, with the search of an acceptable outcome for an ensemble of individuals, to decision making an analysis of vote systems. We…

Physics and Society · Physics 2008-12-02 Elena Ramirez Barrios , Juan G. Diaz Ochoa

In the matroid buyback problem, an algorithm observes a sequence of bids and must decide whether to accept each bid at the moment it arrives, subject to a matroid constraint on the set of accepted bids. Decisions to reject bids are…

Computer Science and Game Theory · Computer Science 2009-11-30 Ashwinkumar B. V. , Robert Kleinberg

In objective Bayesian model selection, no single criterion has emerged as dominant in defining objective prior distributions. Indeed, many criteria have been separately proposed and utilized to propose differing prior choices. We first…

Statistics Theory · Mathematics 2012-09-25 M. J. Bayarri , J. O. Berger , A. Forte , G. García-Donato

Cone distribution functions from statistics are turned into Multi-Criteria Decision Making tools. It is demonstrated that this procedure can be considered as an upgrade of the weighted sum scalarization insofar as it absorbs a whole…

Artificial Intelligence · Computer Science 2024-01-17 Andreas H Hamel , Daniel Kostner

In a variety of domains, from robotics to finance, Quality-Diversity algorithms have been used to generate collections of both diverse and high-performing solutions. Multi-Objective Quality-Diversity algorithms have emerged as a promising…

Artificial Intelligence · Computer Science 2026-02-03 Hannah Janmohamed , Maxence Faldor , Thomas Pierrot , Antoine Cully

We study fairness in classification, where individuals are classified, e.g., admitted to a university, and the goal is to prevent discrimination against individuals based on their membership in some group, while maintaining utility for the…

Computational Complexity · Computer Science 2011-11-30 Cynthia Dwork , Moritz Hardt , Toniann Pitassi , Omer Reingold , Rich Zemel

Fairness and efficiency have become the pillars of modern fair division research, but prior work on achieving both simultaneously is largely limited to the unconstrained setting. We study fair and efficient allocations of indivisible goods…

Computer Science and Game Theory · Computer Science 2024-11-04 Benjamin Cookson , Soroush Ebadian , Nisarg Shah
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