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We study the problem of distributed optimal resource allocation on networks with actions defined on discrete spaces, with applications to adaptive under-frequency load-shedding in power systems. In this context, the primary objective is to…

Optimization and Control · Mathematics 2024-12-25 Adel Aghajan , Miguel Jimenez-Aparicio , Michael E. Ropp , Jorge I. Poveda

We propose two spectral algorithms for partitioning nodes in directed graphs respectively with a cyclic and an acyclic pattern of connection between groups of nodes. Our methods are based on the computation of extremal eigenvalues of the…

Data Structures and Algorithms · Computer Science 2018-05-09 H. Van Lierde , T. W. S. Chow , J. -C. Delvenne

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

Machine Learning · Computer Science 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

Federated learning is a novel decentralized learning architecture. During the training process, the client and server must continuously upload and receive model parameters, which consumes a lot of network transmission resources. Some…

Machine Learning · Computer Science 2025-04-14 Yan-Ann Chen , Guan-Lin Chen

The clustering problem, in its many variants, has numerous applications in operations research and computer science (e.g., in applications in bioinformatics, image processing, social network analysis, etc.). As sizes of data sets have grown…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-24 Sayan Bandyapadhyay , Tanmay Inamdar , Shreyas Pai , Sriram V. Pemmaraju

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

Modern applied optimization problems become more and more complex every day. Due to this fact, distributed algorithms that can speed up the process of solving an optimization problem through parallelization are of great importance. The main…

Optimization and Control · Mathematics 2023-12-14 Svetlana Tkachenko , Artem Andreev , Aleksandr Beznosikov , Alexander Gasnikov

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Clustering has become an increasingly important task in analysing huge amounts of data. Traditional applications require that all data has to be located at the site where it is scrutinized. Nowadays, large amounts of heterogeneous, complex…

Databases · Computer Science 2014-09-24 Eshref Januzaj , Hans-Peter Kriegel , Martin Pfeifle

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna

We present an efficient algorithm for the min-max correlation clustering problem. The input is a complete graph where edges are labeled as either positive $(+)$ or negative $(-)$, and the objective is to find a clustering that minimizes the…

Data Structures and Algorithms · Computer Science 2025-02-19 Nairen Cao , Steven Roche , Hsin-Hao Su

Graph clustering is a basic technique in machine learning, and has widespread applications in different domains. While spectral techniques have been successfully applied for clustering undirected graphs, the performance of spectral…

Machine Learning · Computer Science 2019-08-07 Mihai Cucuringu , Huan Li , He Sun , Luca Zanetti

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

Data Structures and Algorithms · Computer Science 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

We study common randomness generation problems where $n$ players aim to generate same sequences of random coin flips where some subsets of the players share an independent common coin which can be tossed multiple times, and there is a…

Information Theory · Computer Science 2023-12-08 Yanjun Han , Kedar Tatwawadi , Gowtham R. Kurri , Zhengqing Zhou , Vinod M. Prabhakaran , Tsachy Weissman

Clustering is a commonplace problem in many areas of data science, with applications in biology and bioinformatics, understanding chemical structure, image segmentation, building recommender systems, and many more fields. While there are…

Numerical Analysis · Mathematics 2023-12-25 Tareq Zaman , Nicolas Nytko , Ali Taghibakhshi , Scott MacLachlan , Luke Olson , Matthew West

We analyze two communication-efficient algorithms for distributed statistical optimization on large-scale data sets. The first algorithm is a standard averaging method that distributes the $N$ data samples evenly to $\nummac$ machines,…

Machine Learning · Statistics 2013-10-14 Yuchen Zhang , John C. Duchi , Martin Wainwright

We propose an algorithm that builds and maintains clusters over a network subject to mobility. This algorithm is fully decentralized and makes all the different clusters grow concurrently. The algorithm uses circulating tokens that collect…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-15 Thibault Bernard , Alain Bui , Laurence Pilard , Devan Sohier

Graph-level clustering remains a pivotal yet formidable challenge in graph learning. Recently, the integration of deep learning with representation learning has demonstrated notable advancements, yielding performance enhancements to a…

Graph clustering aims to divide the graph into different clusters. The recently emerging deep graph clustering approaches are largely built on graph neural networks (GNN). However, GNN is designed for general graph encoding and there is a…

Machine Learning · Computer Science 2025-04-28 Zhiyuan Ning , Zaitian Wang , Ran Zhang , Ping Xu , Kunpeng Liu , Pengyang Wang , Wei Ju , Pengfei Wang , Yuanchun Zhou , Erik Cambria , Chong Chen