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Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

Machine Learning · Computer Science 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Spectral Clustering is one of the most traditional methods to solve segmentation problems. Based on Normalized Cuts, it aims at partitioning an image using an objective function defined by a graph. Despite their mathematical attractiveness,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Rahul Palnitkar , Jeova Farias Sales Rocha Neto

Continual learning on graphs tackles the problem of training a graph neural network (GNN) where graph data arrive in a streaming fashion and the model tends to forget knowledge from previous tasks when updating with new data. Traditional…

Machine Learning · Computer Science 2024-01-09 Xiaoxue Han , Zhuo Feng , Yue Ning

Computers and algorithms play an ever-increasing role in obtaining new results in graph theory. In this survey, we present a broad range of techniques used in computer-assisted graph theory, including the exhaustive generation of all…

Combinatorics · Mathematics 2025-08-29 Jorik Jooken

Graph Convolutional Network (GCN) is a model that can effectively handle graph data tasks and has been successfully applied. However, for large-scale graph datasets, GCN still faces the challenge of high computational overhead, especially…

Machine Learning · Computer Science 2026-04-15 Guan Wang , Shuyin Xia , Lei Qian , Tao Wu , Guoyin Wang , Yi Wang , Wei Wang

Coarse-grained (CG) molecular dynamics (MD) simulations can simulate large molecular complexes over extended timescales by reducing degrees of freedom. A critical step in CG modeling is the selection of the CG mapping algorithm, which…

Soft Condensed Matter · Physics 2025-07-23 Soumya Mondal , Subhanu Halder , Debarchan Basu , Sandeep Kumar , Tarak Karmakar

Graphs have a superior ability to represent relational data, like chemical compounds, proteins, and social networks. Hence, graph-level learning, which takes a set of graphs as input, has been applied to many tasks including comparison,…

Machine Learning · Computer Science 2023-05-26 Zhenyu Yang , Ge Zhang , Jia Wu , Jian Yang , Quan Z. Sheng , Shan Xue , Chuan Zhou , Charu Aggarwal , Hao Peng , Wenbin Hu , Edwin Hancock , Pietro Liò

Graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most graph clustering algorithms is to find a vertex set of low…

Data Structures and Algorithms · Computer Science 2025-08-08 Joyentanuj Das , Suranjan De , He Sun

Graph representation learning plays an important role in many graph mining applications, but learning embeddings of large-scale graphs remains a problem. Recent works try to improve scalability via graph summarization -- i.e., they learn…

Machine Learning · Computer Science 2022-07-05 Houquan Zhou , Shenghua Liu , Danai Koutra , Huawei Shen , Xueqi Cheng

Analyzing large graph data is an essential part of many modern applications, such as social networks. Due to its large computational complexity, distributed processing is frequently employed. This requires graph data to be divided across…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 YoungJoon Park , DongKyu Lee , Tien-Cuong Bui

Graph clustering, which aims to divide a graph into several homogeneous groups, is a critical area of study with applications that span various fields such as social network analysis, bioinformatics, and image segmentation. This paper…

Machine Learning · Statistics 2024-07-15 Timothé Watteau , Aubin Bonnefoy , Simon Illouz-Laurent , Joaquim Jusseau , Serge Iovleff

Graph embedding techniques are pivotal in real-world machine learning tasks that operate on graph-structured data, such as social recommendation and protein structure modeling. Embeddings are mostly performed on the node level for learning…

Machine Learning · Computer Science 2022-04-26 Nan Wang , Lu Lin , Jundong Li , Hongning Wang

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

How might one "reduce" a graph? That is, generate a smaller graph that preserves the global structure at the expense of discarding local details? There has been extensive work on both graph sparsification (removing edges) and graph…

Discrete Mathematics · Computer Science 2020-02-18 Gecia Bravo-Hermsdorff , Lee M. Gunderson

Computing latent representations for graph-structured data is an ubiquitous learning task in many industrial and academic applications ranging from molecule synthetization to social network analysis and recommender systems. Knowledge graphs…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Victor Caceres Chian , Marcel Hildebrandt , Thomas Runkler , Dominik Dold

Image segmentation is a fundamental task in computer vision. Data annotation for training supervised methods can be labor-intensive, motivating unsupervised methods. Current approaches often rely on extracting deep features from pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Amit Aflalo , Shai Bagon , Tamar Kashti , Yonina Eldar

Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from high computational cost and excessive memory requirements associated with the high-dimensionality and…

Machine Learning · Computer Science 2020-12-16 Mengjia Xu

This paper addresses matrix approximation problems for matrices that are large, sparse and/or that are representations of large graphs. To tackle these problems, we consider algorithms that are based primarily on coarsening techniques,…

Numerical Analysis · Computer Science 2018-10-03 Shashanka Ubaru , Yousef Saad

Graph reordering is a powerful technique to increase the locality of the representations of graphs, which can be helpful in several applications. We study how the technique can be used to improve compression of graphs and inverted indexes.…

Data Structures and Algorithms · Computer Science 2017-09-04 Laxman Dhulipala , Igor Kabiljo , Brian Karrer , Giuseppe Ottaviano , Sergey Pupyrev , Alon Shalita

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti