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The Maximum Independent Set problem is fundamental for extracting conflict-free structure from large graphs, with applications in scheduling, recommendation, and network analysis. However, existing heuristics can stagnate when search…

Artificial Intelligence · Computer Science 2025-10-29 Yu Zhang , Witold Pedrycz , Chanjuan Liu , Enqiang Zhu

Distributed training of GNNs enables learning on massive graphs (e.g., social and e-commerce networks) that exceed the storage and computational capacity of a single machine. To reach performance comparable to centralized training,…

Machine Learning · Computer Science 2023-05-18 Jiong Zhu , Aishwarya Reganti , Edward Huang , Charles Dickens , Nikhil Rao , Karthik Subbian , Danai Koutra

Max Independent Set (MIS) is a paradigmatic problem in theoretical computer science and numerous studies tackle its resolution by exact algorithms with non-trivial worst-case complexity. The best such complexity is, to our knowledge, the…

Discrete Mathematics · Computer Science 2009-01-13 Nicolas Bourgeois , Bruno Escoffier , Vangelis Th. Paschos , Johan M. M van Rooij

Graph neural network (GNN) pre-training methods have been proposed to enhance the power of GNNs. Specifically, a GNN is first pre-trained on a large-scale unlabeled graph and then fine-tuned on a separate small labeled graph for downstream…

Machine Learning · Computer Science 2022-09-16 Simiao Zuo , Haoming Jiang , Qingyu Yin , Xianfeng Tang , Bing Yin , Tuo Zhao

The greedy sequential algorithm for maximal independent set (MIS) loops over the vertices in arbitrary order adding a vertex to the resulting set if and only if no previous neighboring vertex has been added. In this loop, as in many…

Data Structures and Algorithms · Computer Science 2012-02-16 Guy Blelloch , Jeremy Fineman , Julian Shun

The maximal independent set (MIS) is one of the most fundamental problems in distributed computing, and it has been studied intensively for over four decades. This paper focuses on the MIS problem in the Radio Network model, a standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Dominick Banasik , Varsha Dani , Fabien Dufoulon , Aayush Gupta , Thomas P. Hayes , Gopal Pandurangan

This paper presents a machine learning-based framework for topology optimization of self-supporting structures, specifically tailored for additive manufacturing (AM). By employing a graph neural network (GNN) that acts as a neural field…

Computational Engineering, Finance, and Science · Computer Science 2025-08-27 Alireza Tabarraei , Saquib Ahmad Bhuiyan

Consistency training is a popular method to improve deep learning models in computer vision and natural language processing. Graph neural networks (GNNs) have achieved remarkable performance in a variety of network science learning tasks,…

Machine Learning · Computer Science 2021-10-14 Cole Hawkins , Vassilis N. Ioannidis , Soji Adeshina , George Karypis

Graph Neural Networks (GNNs) have established themselves as a key component in addressing diverse graph-based tasks. Despite their notable successes, GNNs remain susceptible to input perturbations in the form of adversarial attacks. This…

Machine Learning · Computer Science 2024-09-13 Moshe Eliasof , Davide Murari , Ferdia Sherry , Carola-Bibiane Schönlieb

In graph theory, an independent set is a subset of nodes where there are no two adjacent nodes. The independent set is maximal if no node outside the independent set can join it. In network applications, maximal independent sets can be used…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Badreddine Benreguia , Hamouma Moumen , Soheila Bouam , Chafik Arar

Graph Neural Networks (GNNs) have emerged as powerful tools for various graph mining tasks, yet existing scalable solutions often struggle to balance execution efficiency with prediction accuracy. These difficulties stem from iterative…

Machine Learning · Computer Science 2026-04-02 Xu Cheng , Liang Yao , Feng He , Yukuo Cen , Yufei He , Chenhui Zhang , Wenzheng Feng , Hongyun Cai , Jie Tang

The graph convolutional network (GCN) is a go-to solution for machine learning on graphs, but its training is notoriously difficult to scale both in terms of graph size and the number of model parameters. Although some work has explored…

Machine Learning · Computer Science 2022-03-15 Cameron R. Wolfe , Jingkang Yang , Arindam Chowdhury , Chen Dun , Artun Bayer , Santiago Segarra , Anastasios Kyrillidis

Recently, graph neural networks (GNNs) have been shown powerful capacity at modeling structural data. However, when adapted to downstream tasks, it usually requires abundant task-specific labeled data, which can be extremely scarce in…

Machine Learning · Computer Science 2022-03-04 Yupeng Hou , Binbin Hu , Wayne Xin Zhao , Zhiqiang Zhang , Jun Zhou , Ji-Rong Wen

Implicit graph neural networks have gained popularity in recent years as they capture long-range dependencies while improving predictive performance in static graphs. Despite the tussle between performance degradation due to the…

Machine Learning · Computer Science 2024-06-27 Yongjian Zhong , Hieu Vu , Tianbao Yang , Bijaya Adhikari

Computing the size of maximum independent sets is a NP-hard problem for fixed graphs. Characterizing and designing efficient algorithms to estimate this independence number for random graphs are notoriously difficult and still largely open…

Probability · Mathematics 2020-10-01 Paola Bermolen , Matthieu Jonckheere , Federico Larroca , Manuel Saenz

The classic technique of Baker [J. ACM '94] is the most fundamental approach for designing approximation schemes on planar, or more generally topologically-constrained graphs, and it has been applied in a myriad of different variants and…

Data Structures and Algorithms · Computer Science 2023-11-01 Tuukka Korhonen , Wojciech Nadara , Michał Pilipczuk , Marek Sokołowski

We present an approximation algorithm for the maximum independent set (MIS) problem over the class of equilateral $B_1$-VPG graphs. These are intersection graphs of $L$-shaped planar objects % (and their rotations by multiples of $90^o$)…

Data Structures and Algorithms · Computer Science 2019-12-18 Abhiruk Lahiri , Joydeep Mukherjee , C. R. Subramanian

Detecting and quantifying products of cellular metabolism using Mass Spectrometry (MS) has already shown great promise in many biological and biomedical applications. The biggest challenge in metabolomics is annotation, where measured…

Machine Learning · Computer Science 2020-10-12 Hao Zhu , Liping Liu , Soha Hassoun

Graph Neural Networks (GNNs) have emerged as powerful tools for analyzing and learning representations from graph-structured data. A crucial prerequisite for the outstanding performance of GNNs is the availability of complete graph…

Machine Learning · Computer Science 2024-08-12 Peng Yuan , Peng Tang

Training graph neural networks on large datasets has long been a challenge. Traditional approaches include efficiently representing the whole graph in-memory, designing parameter efficient and sampling-based models, and graph partitioning…

Machine Learning · Computer Science 2024-11-19 Dmytro Lopushanskyy , Borun Shi
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