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We propose a multi-stage learning approach for pruning the search space of maximum clique enumeration, a fundamental computationally difficult problem arising in various network analysis tasks. In each stage, our approach learns the…

Machine Learning · Computer Science 2019-10-02 Marco Grassia , Juho Lauri , Sourav Dutta , Deepak Ajwani

Clustering is an unsupervised machine learning task that consists of identifying groups of similar objects. It has numerous applications and is increasingly used in fairness-sensitive domains where objects represent individuals, such as…

Machine Learning · Computer Science 2026-05-14 Claudio Mantuano , Manuel Kammermann , Philipp Baumann

Finding an exact maximum distance of two points in the given set is a fundamental computational problem which is solved in many applications. This paper presents a fast, simple to implement and robust algorithm for finding this maximum…

Data Structures and Algorithms · Computer Science 2017-08-10 Vaclav Skala , Zuzana Majdisova

We investigate a new model for partitioning a set of items into groups (clusters). The number of groups is given and the distances between items are well defined. These distances may include weights. The sum of the distances between all…

Optimization and Control · Mathematics 2023-12-20 Pawel Kalczynski , Zvi Goldstein , Zvi Drezner

Censor-Hillel et al. [PODC'15] recently showed how to efficiently implement centralized algebraic algorithms for matrix multiplication in the congested clique model, a model of distributed computing that has received increasing attention in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 François Le Gall

The behavior of a Lattice Monte Carlo algorithm (if it is designed correctly) must approach that of the continuum system that it is designed to simulate as the time step and the mesh step tend to zero. However, we show for an algorithm for…

Statistical Mechanics · Physics 2010-08-23 Mykyta V. Chubynsky , Gary W. Slater

Influence maximization, defined as a problem of finding a set of seed nodes to trigger a maximized spread of influence, is crucial to viral marketing on social networks. For practical viral marketing on large scale social networks, it is…

Social and Information Networks · Computer Science 2014-02-18 Suqi Cheng , Huawei Shen , Junming Huang , Guoqing Zhang , Xueqi Cheng

We generalize the setting of online clustering of bandits by allowing non-uniform distribution over user frequencies. A more efficient algorithm is proposed with simple set structures to represent clusters. We prove a regret bound for the…

Machine Learning · Computer Science 2019-07-03 Shuai Li , Wei Chen , Shuai Li , Kwong-Sak Leung

A $k$-clique is a dense graph, consisting of $k$ fully-connected nodes, that finds numerous applications, such as community detection and network analysis. In this paper, we study a new problem, that finds a maximum set of disjoint…

Social and Information Networks · Computer Science 2025-04-15 Wenqing Lin , Xin Chen , Haoxuan Xie , Sibo Wang , Siqiang Luo

In this article, we advance divide-and-conquer strategies for solving the community detection problem in networks. We propose two algorithms which perform clustering on a number of small subgraphs and finally patches the results into a…

Machine Learning · Statistics 2017-08-21 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Peter J. Bickel

Finding cohesive subgraphs in a large graph has many important applications, such as community detection and biological network analysis. Clique is often a too strict cohesive structure since communities or biological modules rarely form as…

Data Structures and Algorithms · Computer Science 2024-06-11 Qihao Cheng , Da Yan , Tianhao Wu , Lyuheng Yuan , Ji Cheng , Zhongyi Huang , Yang Zhou

Clustering algorithms are of fundamental importance when dealing with large unstructured datasets and discovering new patterns and correlations therein, with applications ranging from scientific research to medical imaging and marketing…

Quantum Physics · Physics 2023-02-10 Duarte Magano , Lorenzo Buffoni , Yasser Omar

This study explores distributed optimization problems with clique-wise coupling via operator splitting and how we can utilize this framework for performance analysis and enhancement. This framework extends beyond conventional pairwise…

Optimization and Control · Mathematics 2025-06-24 Yuto Watanabe , Kazunori Sakurama

Today's data centers have an abundance of computing resources, hosting server clusters consisting of as many as tens or hundreds of thousands of machines. To execute a complex computing task over a data center, it is natural to distribute…

Information Theory · Computer Science 2017-02-24 Qian Yu , Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

This paper unifies the theory of consistent-set maximization for robust outlier detection in a simultaneous localization and mapping framework. We first describe the notion of pairwise consistency before discussing how a consistency graph…

Robotics · Computer Science 2023-08-08 Brendon Forsgren , Ram Vasudevan , Michael Kaess , Timothy W. McLain , Joshua G. Mangelson

Clique counting is a fundamental task in network analysis, and even the simplest setting of $3$-cliques (triangles) has been the center of much recent research. Getting the count of $k$-cliques for larger $k$ is algorithmically challenging,…

Data Structures and Algorithms · Computer Science 2020-01-22 Shweta Jain , C. Seshadhri

Motivated by the need for robust and fast distributed computation in highly dynamic Peer-to-Peer (P2P) networks, we study algorithms for the fundamental distributed agreement problem. P2P networks are highly dynamic networks that experience…

Data Structures and Algorithms · Computer Science 2015-03-19 John Augustine , Gopal Pandurangan , Peter Robinson , Eli Upfal

With ongoing developments in digitalization and advances in the field of autonomous driving, on-demand ride pooling is a mobility service with the potential to disrupt the urban mobility market. Nevertheless, to apply this kind of service…

Systems and Control · Electrical Eng. & Systems 2020-07-30 Roman Engelhardt , Florian Dandl , Klaus Bogenberger

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

Combinatorial optimization problems arise in a wide range of applications from diverse domains. Many of these problems are NP-hard and designing efficient heuristics for them requires considerable time and experimentation. On the other…

Data Structures and Algorithms · Computer Science 2020-01-07 Juho Lauri , Sourav Dutta , Marco Grassia , Deepak Ajwani