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Partitioning and grouping of similar objects plays a fundamental role in image segmentation and in clustering problems. In such problems a typical goal is to group together similar objects, or pixels in the case of image processing. At the…

Computer Vision and Pattern Recognition · Computer Science 2010-10-12 Dorit S. Hochbaum

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

Computer Science and Game Theory · Computer Science 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

We analyze the (parameterized) computational complexity of "fair" variants of bipartite many-to-one matching, where each vertex from the "left" side is matched to exactly one vertex and each vertex from the "right" side may be matched to…

Data Structures and Algorithms · Computer Science 2022-07-12 Niclas Boehmer , Tomohiro Koana

Community detection or clustering is a fundamental task in the analysis of network data. Many real networks have a bipartite structure which makes community detection challenging. In this paper, we consider a model which allows for matched…

Social and Information Networks · Computer Science 2017-03-16 Zahra S. Razaee , Arash A. Amini , Jingyi Jessica Li

In this paper, we introduce a novel, non-recursive, maximal matching algorithm for double auctions, which aims to maximize the amount of commodities to be traded. It differs from the usual equilibrium matching, which clears a market at the…

Computer Science and Game Theory · Computer Science 2013-04-12 Jinzhong Niu , Simon Parsons

We present a novel bilateral negotiation model that allows a self-interested agent to learn how to negotiate over multiple issues in the presence of user preference uncertainty. The model relies upon interpretable strategy templates…

Multiagent Systems · Computer Science 2022-01-10 Pallavi Bagga , Nicola Paoletti , Kostas Stathis

IV-matching is a generalization of perfect bipartite matching. The complexity of finding IV-matching in a graph was posted as an open problem at the ICALP 2014 conference. In this note, we resolve the question and prove that, contrary to…

Discrete Mathematics · Computer Science 2015-06-30 Lukáš Folwarczný , Dušan Knop

The matching problem plays a basic role in combinatorial optimization and in statistical mechanics. In its stochastic variants, optimization decisions have to be taken given only some probabilistic information about the instance. While the…

Statistical Mechanics · Physics 2013-09-03 Fabrizio Altarelli , Alfredo Braunstein , Abolfazl Ramezanpour , Riccardo Zecchina

Recommender systems use data on past user preferences to predict possible future likes and interests. A key challenge is that while the most useful individual recommendations are to be found among diverse niche objects, the most reliably…

Information Retrieval · Computer Science 2010-03-15 Tao Zhou , Zoltan Kuscsik , Jian-Guo Liu , Matus Medo , Joseph R. Wakeling , Yi-Cheng Zhang

The standard two-sided and one-sided matching problems, and the closely related school choice problem, have been widely studied from an axiomatic viewpoint. A small number of algorithms dominate the literature. For two-sided matching, the…

Computer Science and Game Theory · Computer Science 2017-03-14 Jacky Lo , Mark C. Wilson

This paper derives polynomial-time approximation schemes for several NP-hard stochastic optimization problems from the algorithmic mechanism design and operations research literatures. The problems we consider involve a principal or seller…

Computer Science and Game Theory · Computer Science 2025-09-18 Robin Bowers , Marius Garbea , Emmanouil Pountourakis , Samuel Taggart

In algorithmically fair prediction problems, a standard goal is to ensure the equality of fairness metrics across multiple overlapping groups simultaneously. We reconsider this standard fair classification problem using a probabilistic…

Machine Learning · Computer Science 2020-06-25 Forest Yang , Moustapha Cisse , Sanmi Koyejo

Assignment problems are a classic combinatorial optimization problem in which a group of agents must be assigned to a group of tasks such that maximum utility is achieved while satisfying assignment constraints. Given the utility of each…

Multiagent Systems · Computer Science 2024-12-23 Joshua Holder , Natasha Jaques , Mehran Mesbahi

We study a public event scheduling problem, where multiple public events are scheduled to coordinate the availability of multiple agents. The availability of each agent is determined by solving a separate flexible interval job scheduling…

Data Structures and Algorithms · Computer Science 2024-04-19 Bo Li , Lijun Li , Minming Li , Ruilong Zhang

This paper considers the maximization of the expected maximum value of a portfolio of random variables subject to a budget constraint. We refer to this as the optimal college application problem. When each variable's cost, or each college's…

Optimization and Control · Mathematics 2022-05-10 Max Kapur , Sung-Pil Hong

Student placements under diversity constraints are a common practice globally. This paper addresses the selection of students by a single school under a \emph{one-to-one convention}, where students can belong to multiple types but are…

Computer Science and Game Theory · Computer Science 2024-12-19 Zhaohong Sun , Makoto Yokoo

In this work, we study the multi-agent assortment optimization problem in the two-sided sequential matching model introduced by Ashlagi et al. (2022). The setting is the following: we (the platform) offer a menu of suppliers to each…

Computer Science and Game Theory · Computer Science 2023-09-21 Alfredo Torrico , Margarida Carvalho , Andrea Lodi

An applied problem facing all areas of data science is harmonizing data sources. Joining data from multiple origins with unmapped and only partially overlapping features is a prerequisite to developing and testing robust, generalizable…

In two-sided matching markets, the agents are partitioned into two sets. Each agent wishes to be matched to an agent in the other set and has a strict preference over these potential matches. A matching is stable if there are no blocking…

Computer Science and Game Theory · Computer Science 2013-02-26 Georgios Askalidis , Nicole Immorlica , Emmanouil Pountourakis

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

Discrete Mathematics · Computer Science 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer