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We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

Data Structures and Algorithms · Computer Science 2016-01-08 Foad Lotfifar , Matthew Johnson

Clustering is a ubiquitous problem in data science and signal processing. In many applications where we observe noisy signals, it is common practice to first denoise the data, perhaps using wavelet denoising, and then to apply a clustering…

Machine Learning · Statistics 2021-11-03 Michael Weylandt , T. Mitchell Roddenberry , Genevera I. Allen

Global pooling, such as max- or sum-pooling, is one of the key ingredients in deep neural networks used for processing images, texts, graphs and other types of structured data. Based on the recent DeepSets architecture proposed by Zaheer et…

Machine Learning · Computer Science 2020-01-23 Łukasz Maziarka , Marek Śmieja , Aleksandra Nowak , Jacek Tabor , Łukasz Struski , Przemysław Spurek

Recently, graph neural networks (GNNs) have gained much attention as a growing area of deep learning capable of learning on graph-structured data. However, the computational and memory requirements for training GNNs on large-scale graphs…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Nikolai Merkel , Daniel Stoll , Ruben Mayer , Hans-Arno Jacobsen

We propose a novel stacked generalization (stacking) method as a dynamic ensemble technique using a pool of heterogeneous classifiers for node label classification on networks. The proposed method assigns component models a set of…

Machine Learning · Statistics 2016-10-18 Zhen Han , Alyson Wilson

Graph Neural Networks (GNNs) are attracting growing attention due to their effectiveness and flexibility in modeling a variety of graph-structured data. Exiting GNN architectures usually adopt simple pooling operations (eg. sum, average,…

Machine Learning · Computer Science 2022-10-21 Chenqing Hua , Guillaume Rabusseau , Jian Tang

Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dynamics but remain unfeasible for very large networks.…

Physics and Society · Physics 2026-01-23 Massimo Ostilli

Pooling is one of the main elements in convolutional neural networks. The pooling reduces the size of the feature map, enabling training and testing with a limited amount of computation. This paper proposes a new pooling method named…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Junhyuk Hyun , Hongje Seong , Euntai Kim

While message passing Graph Neural Networks (GNNs) have become increasingly popular architectures for learning with graphs, recent works have revealed important shortcomings in their expressive power. In response, several higher-order GNNs…

Machine Learning · Computer Science 2025-02-28 Behrooz Tahmasebi , Derek Lim , Stefanie Jegelka

In graph neural networks (GNNs), pooling operators compute local summaries of input graphs to capture their global properties, and they are fundamental for building deep GNNs that learn hierarchical representations. In this work, we propose…

Machine Learning · Computer Science 2024-04-23 Filippo Maria Bianchi , Daniele Grattarola , Lorenzo Livi , Cesare Alippi

In graph neural networks (GNNs), both node features and labels are examples of graph signals, a key notion in graph signal processing (GSP). While it is common in GSP to impose signal smoothness constraints in learning and estimation tasks,…

Signal Processing · Electrical Eng. & Systems 2023-04-10 Feng Ji , See Hian Lee , Kai Zhao , Wee Peng Tay , Jielong Yang

The present paper is devoted to clustering geometric graphs. While the standard spectral clustering is often not effective for geometric graphs, we present an effective generalization, which we call higher-order spectral clustering. It…

Machine Learning · Computer Science 2021-03-16 Konstantin Avrachenkov , Andrei Bobu , Maximilien Dreveton

Graph clustering, which aims to divide nodes in the graph into several distinct clusters, is a fundamental yet challenging task. Benefiting from the powerful representation capability of deep learning, deep graph clustering methods have…

Machine Learning · Computer Science 2023-09-13 Yue Liu , Jun Xia , Sihang Zhou , Xihong Yang , Ke Liang , Chenchen Fan , Yan Zhuang , Stan Z. Li , Xinwang Liu , Kunlun He

Graph classification is a challenging problem owing to the difficulty in quantifying the similarity between graphs or representing graphs as vectors, though there have been a few methods using graph kernels or graph neural networks (GNNs).…

Machine Learning · Computer Science 2024-08-22 Zixiao Wang , Jicong Fan

With the advancement of sensing technology, multivariate time series classification (MTSC) has recently received considerable attention. Existing deep learning-based MTSC techniques, which mostly rely on convolutional or recurrent neural…

Machine Learning · Computer Science 2021-11-09 Ziheng Duan , Haoyan Xu , Yueyang Wang , Yida Huang , Anni Ren , Zhongbin Xu , Yizhou Sun , Wei Wang

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

Dynamic graph neural networks have been widely used in modeling and representation learning of graph structure data. Current dynamic representation learning focuses on either discrete learning which results in temporal information loss or…

Machine Learning · Computer Science 2022-02-11 Yan Pang , Chao Liu

Recently, graph prompt learning has garnered increasing attention in adapting pre-trained GNN models for downstream graph learning tasks. However, existing works generally conduct prompting over all graph elements (e.g., nodes, edges, node…

Machine Learning · Computer Science 2024-10-30 Bo Jiang , Hao Wu , Beibei Wang , Jin Tang , Bin Luo

Graph neural networks (GNNs), which learn the node representations by recursively aggregating information from its neighbors, have become a predominant computational tool in many domains. To handle large-scale graphs, most of the existing…

Machine Learning · Computer Science 2021-09-01 Kaixiong Zhou , Ninghao Liu , Fan Yang , Zirui Liu , Rui Chen , Li Li , Soo-Hyun Choi , Xia Hu