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We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

数据结构与算法 · 计算机科学 2021-03-09 Alan Kuhnle

In this paper we consider stable matchings subject to assignment constraints. These are matchings that require certain assigned pairs to be included, insist that some other assigned pairs are not, and, importantly, are stable. Our main…

理论经济学 · 经济学 2024-06-14 Gregory Gutin , Philip R. Neary , Anders Yeo

We study the consideration of fairness in redundant assignment for multi-agent task allocation. It has recently been shown that redundant assignment of agents to tasks provides robustness to uncertainty in task performance. However, the…

机器人学 · 计算机科学 2021-03-09 Matthew Malencia , Vijay Kumar , George Pappas , Amanda Prorok

Discrimination in selection problems such as hiring or college admission is often explained by implicit bias from the decision maker against disadvantaged demographic groups. In this paper, we consider a model where the decision maker…

机器学习 · 计算机科学 2021-12-13 Vitalii Emelianov , Nicolas Gast , Krishna P. Gummadi , Patrick Loiseau

In a multiple partners matching problem the agents can have multiple partners up to their capacities. In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under…

计算机科学与博弈论 · 计算机科学 2022-02-14 Péter Biró , Gergely Csáji

We consider multicriteria problems of evaluating absolute ratings (scores, priorities, weights) of given alternatives for making decisions, which are compared in pairs under several criteria. Given matrices of pairwise comparisons of…

最优化与控制 · 数学 2026-01-27 Nikolai Krivulin

Understanding large-scale patterns in student course enrollment is a problem of great interest to university administrators and educational researchers. Yet important decisions are often made without a good quantitative framework of the…

机器学习 · 计算机科学 2019-06-03 Nate Gruver , Ali Malik , Brahm Capoor , Chris Piech , Mitchell L. Stevens , Andreas Paepcke

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

数据结构与算法 · 计算机科学 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

Stochastic dynamic matching problems have recently gained attention in the stochastic-modeling community due to their diverse applications, such as supply-chain management and kidney exchange programs. In this paper, we study a matching…

网络与互联网体系结构 · 计算机科学 2025-11-13 Céline Comte , Fabien Mathieu , Sushil Mahavir Varma , Ana Bušić

Fairness in multiwinner elections is studied in varying contexts. For instance, diversity of candidates and representation of voters are both separately termed as being fair. A common denominator to ensure fairness across all such contexts…

计算机科学与博弈论 · 计算机科学 2022-11-24 Kunal Relia

Many set selection and ranking algorithms have recently been enhanced with diversity constraints that aim to explicitly increase representation of historically disadvantaged populations, or to improve the overall representativeness of the…

人工智能 · 计算机科学 2019-06-06 Ke Yang , Vasilis Gkatzelis , Julia Stoyanovich

We study a variant of the Student-Project Allocation problem with lecturer preferences over Students where ties are allowed in the preference lists of students and lecturers (SPA-ST). We investigate the concept of strong stability in this…

数据结构与算法 · 计算机科学 2019-11-26 Sofiat Olaosebikan , David Manlove

Students' decisions on whether to take a class are strongly affected by whether their friends plan to take the class with them. A student may prefer to be assigned to a course they likes less, just to be with their friends, rather than…

人工智能 · 计算机科学 2023-09-19 Ilya Khakhiashvili , Lihi Dery , Tal Grinshpoun

Finding optimal policies which maximize long term rewards of Markov Decision Processes requires the use of dynamic programming and backward induction to solve the Bellman optimality equation. However, many real-world problems require…

机器学习 · 计算机科学 2023-01-10 Mridul Agarwal , Vaneet Aggarwal

We study the role of information and access in capacity-constrained selection problems with fairness concerns. We develop a statistical discrimination framework, where each applicant has multiple features and is potentially strategic. The…

计算机与社会 · 计算机科学 2026-03-03 Nikhil Garg , Hannah Li , Faidra Monachou

The stable marriage and stable roommates problems have been extensively studied due to their high applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet…

计算机科学与博弈论 · 计算机科学 2022-04-29 Kristóf Bérczi , Gergely Csáji , Tamás Király

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

数据结构与算法 · 计算机科学 2020-01-09 David García-Soriano , Francesco Bonchi

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

最优化与控制 · 数学 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

We study a two-institution stable matching model in which candidates from two distinct groups are evaluated using partially correlated signals that are group-biased. This extends prior work (which assumes institutions evaluate candidates in…

物理与社会 · 物理学 2025-11-11 Amit Kumar , Nisheeth K. Vishnoi

This paper proposes a multiple-membership generalized linear mixed model for ranking college football teams using only their win/loss records. The model results in an intractable, high-dimensional integral due to the random effects…

应用统计 · 统计学 2014-04-01 Andrew T. Karl