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We design improved approximation algorithms for NP-hard graph problems by incorporating predictions (e.g., learned from past data). Our prediction model builds upon and extends the $\varepsilon$-prediction framework by Cohen-Addad, d'Orsi,…

Machine Learning · Computer Science 2025-06-02 Anders Aamand , Justin Y. Chen , Siddharth Gollapudi , Sandeep Silwal , Hao Wu

Fair division is a fundamental problem in various multi-agent settings, where the goal is to divide a set of resources among agents in a fair manner. We study the case where m indivisible items need to be divided among n agents with…

Computer Science and Game Theory · Computer Science 2021-04-07 Jugal Garg , Setareh Taki

The Stable Roommates problem involves matching a set of agents into pairs based on the agents' strict ordinal preference lists. The matching must be stable, meaning that no two agents strictly prefer each other to their assigned partners. A…

Computer Science and Game Theory · Computer Science 2021-07-12 Michael McKay , David Manlove

Recently, the sizes of networks are always very huge, and they take on distributed nature. Aiming at this kind of network clustering problem, in the sight of local view, this paper proposes a fast network clustering algorithm in which each…

Social and Information Networks · Computer Science 2013-03-26 Di Jin , Dayou Liu , Bo Yang , Jie Liu

We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

Data Structures and Algorithms · Computer Science 2021-02-09 Alexandra Porter , Mary Wootters

Approximate nearest neighbor search (ANNS) in high-dimensional spaces is a pivotal challenge in the field of machine learning. In recent years, graph-based methods have emerged as the superior approach to ANNS, establishing a new state of…

Machine Learning · Computer Science 2024-07-11 Kejing Lu , Chuan Xiao , Yoshiharu Ishikawa

We consider the problem of helping agents improve by setting short-term goals. Given a set of target skill levels, we assume each agent will try to improve from their initial skill level to the closest target level within reach or do…

Computer Science and Game Theory · Computer Science 2022-03-02 Saba Ahmadi , Hedyeh Beyhaghi , Avrim Blum , Keziah Naggita

Reducing hidden bias in the data and ensuring fairness in algorithmic data analysis has recently received significant attention. We complement several recent papers in this line of research by introducing a general method to reduce bias in…

Data Structures and Algorithms · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Adriano Fazzone , Cristina Menghini , Chris Schwiegelshohn

This paper focuses on a class of inclusion problems of maximal monotone operators in a multi-agent network, where each agent is characterized by an operator that is not available to any other agents, but the agents can cooperate by…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

Graph modification problems with the goal of optimizing some measure of a given node's network position have a rich history in the algorithms literature. Less commonly explored are modification problems with the goal of equalizing…

Data Structures and Algorithms · Computer Science 2025-05-12 Alex Crane , Sorelle A. Friedler , Mihir Patel , Blair D. Sullivan

Many discrete optimization problems amount to selecting a feasible set of edges of least weight. We consider in this paper the context of spatial graphs where the positions of the vertices are uncertain and belong to known uncertainty sets.…

Data Structures and Algorithms · Computer Science 2022-09-27 Marin Bougeret , Jérémy Omer , Michael Poss

The maximization for the independence systems defined on graphs is a generalization of combinatorial optimization problems such as the maximum $b$-matching, the unweighted MAX-SAT, the matchoid, and the maximum timed matching problems. In…

Data Structures and Algorithms · Computer Science 2022-08-23 Yuki Amano

This paper presents a novel application of graph neural networks for modeling and estimating network heterogeneity. Network heterogeneity is characterized by variations in unit's decisions or outcomes that depend not only on its own…

Econometrics · Economics 2024-01-30 Yike Wang , Chris Gu , Taisuke Otsu

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

Networked public goods games model scenarios in which self-interested agents decide whether or how much to invest in an action that benefits not only themselves, but also their network neighbors. Examples include vaccination, security…

Computer Science and Game Theory · Computer Science 2021-09-03 David Kempe , Sixie Yu , Yevgeniy Vorobeychik

For many distributed algorithms, neighborhood size is an important parameter. In radio networks, however, obtaining this information can be difficult due to ad hoc deployments and communication that occurs on a collision-prone shared…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-09 Calvin Newport , Chaodong Zheng

We consider the task of assigning indivisible goods to a set of agents in a fair manner. Our notion of fairness is Nash social welfare, i.e., the goal is to maximize the geometric mean of the utilities of the agents. Each good comes in…

Data Structures and Algorithms · Computer Science 2019-05-13 Bhaskar Chaudhury , Yun Kuen Cheung , Jugal Garg , Naveen Garg , Martin Hoefer , Kurt Mehlhorn

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. While finding an arbitrary Pareto optimal allocation is generally easy, checking whether a particular allocation is Pareto…

Computer Science and Game Theory · Computer Science 2018-05-18 Haris Aziz , Peter Biro , Jerome Lang , Julien Lesca , Jerome Monnot

We study the problem of allocating a set of indivisible items to agents with supermodular utilities to maximize the Nash social welfare. We show that the problem is NP-hard for any approximation factor.

Computer Science and Game Theory · Computer Science 2025-10-31 Alon Bebchuk

Approximate nearest neighbor search (ANNS) constitutes an important operation in a multitude of applications, including recommendation systems, information retrieval, and pattern recognition. In the past decade, graph-based ANNS algorithms…

Information Retrieval · Computer Science 2021-05-11 Mengzhao Wang , Xiaoliang Xu , Qiang Yue , Yuxiang Wang