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Graph Neural Networks (GNNs) have demonstrated significant achievements in processing graph data, yet scalability remains a substantial challenge. To address this, numerous graph coarsening methods have been developed. However, most…

Machine Learning · Computer Science 2024-12-19 Shuyin Xia , Xinjun Ma , Zhiyuan Liu , Cheng Liu , Sen Zhao , Guoyin Wang

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

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

$\textbf{Graph Coarsening (GC)}$ is a prominent graph reduction technique that compresses large graphs to enable efficient learning and inference. However, existing GC methods generate only one coarsened graph per run and must recompute…

Social and Information Networks · Computer Science 2025-05-23 Mohit Kataria , Shreyash Bhilwade , Sandeep Kumar , Jayadeva

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

Machine Learning · Computer Science 2025-10-10 Lin Wang , Qing Li

The rapid growth of graph data creates significant scalability challenges as most graph algorithms scale quadratically with size. To mitigate these issues, Graph Condensation (GC) methods have been proposed to learn a small graph from a…

Machine Learning · Computer Science 2025-08-06 Shengbo Gong , Mohammad Hashemi , Juntong Ni , Carl Yang , Wei Jin

The graph partitioning problem is widely used and studied in many practical and theoretical applications. The multilevel strategies represent today one of the most effective and efficient generic frameworks for solving this problem on…

Data Structures and Algorithms · Computer Science 2012-04-04 Ilya Safro , Peter Sanders , Christian Schulz

Subgraph GNNs enhance message-passing GNNs expressivity by representing graphs as sets of subgraphs, demonstrating impressive performance across various tasks. However, their scalability is hindered by the need to process large numbers of…

Machine Learning · Computer Science 2025-06-02 Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

Graph condensation (GC) aims to distill the original graph into a small-scale graph, mitigating redundancy and accelerating GNN training. However, conventional GC approaches heavily rely on rigid GNNs and task-specific supervision. Such a…

Machine Learning · Computer Science 2025-09-19 Yeyu Yan , Shuai Zheng , Wenjun Hui , Xiangkai Zhu , Dong Chen , Zhenfeng Zhu , Yao Zhao , Kunlun He

Scalability of graph neural networks remains one of the major challenges in graph machine learning. Since the representation of a node is computed by recursively aggregating and transforming representation vectors of its neighboring nodes…

Machine Learning · Computer Science 2021-06-10 Zengfeng Huang , Shengzhong Zhang , Chong Xi , Tang Liu , Min Zhou

Traditional clustering algorithms often focus on the most fine-grained information and achieve clustering by calculating the distance between each pair of data points or implementing other calculations based on points. This way is not…

Machine Learning · Computer Science 2024-10-21 Shuyin Xia , Bolun Shi , Yifan Wang , Jiang Xie , Guoyin Wang , Xinbo Gao

Large-scale graphs are widely used to represent object relationships in many real world applications. The occurrence of large-scale graphs presents significant computational challenges to process, analyze, and extract information. Graph…

Social and Information Networks · Computer Science 2019-10-11 Yu Jin , Andreas Loukas , Joseph F. JaJa

Human cognition operates on a "Global-first" cognitive mechanism, prioritizing information processing based on coarse-grained details. This mechanism inherently possesses an adaptive multi-granularity description capacity, resulting in…

Machine Learning · Computer Science 2024-01-22 Shuyin Xia , Guoyin Wang , Xinbo Gao , Xiaoyu Lian

As large-scale graphs become increasingly more prevalent, it poses significant computational challenges to process, extract and analyze large graph data. Graph coarsening is one popular technique to reduce the size of a graph while…

Machine Learning · Computer Science 2021-02-03 Chen Cai , Dingkang Wang , Yusu Wang

Graph coarsening is a technique for solving large-scale graph problems by working on a smaller version of the original graph, and possibly interpolating the results back to the original graph. It has a long history in scientific computing…

Machine Learning · Computer Science 2023-06-16 Yifan Chen , Rentian Yao , Yun Yang , Jie Chen

Current image processing methods usually operate on the finest-granularity unit; that is, the pixel, which leads to challenges in terms of efficiency, robustness, and understandability in deep learning models. We present an improved…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Xia Shuyin , Dai Dawei , Yang Long , Zhany Li , Lan Danf , Zhu hao , Wang Guoy

Efficient and robust data clustering remains a challenging task in the field of data analysis. Recent efforts have explored the integration of granular-ball (GB) computing with clustering algorithms to address this challenge, yielding…

Machine Learning · Computer Science 2024-05-16 Zihang Jia , Zhen Zhang , Witold Pedrycz

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

The general method of graph coarsening or graph reduction has been a remarkably useful and ubiquitous tool in scientific computing and it is now just starting to have a similar impact in machine learning. The goal of this paper is to take a…

Machine Learning · Computer Science 2021-06-23 Jie Chen , Yousef Saad , Zechen Zhang
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