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Torch Geometric Pool (tgp) is a pooling library built on top of PyTorch Geometric. Graph pooling methods differ in how they assign nodes to supernodes, how they handle batches, what they return after pooling, and whether they expose…

Machine Learning · Computer Science 2026-04-21 Carlo Abate , Ivan Marisca , Filippo Maria Bianchi

Interpreting graph neural networks (GNNs) is difficult because message passing mixes signals and internal channels rarely align with human concepts. We study superposition, the sharing of directions by multiple features, directly in the…

Machine Learning · Computer Science 2026-01-19 Lukas Pertl , Han Xuanyuan , Pietro Liò

Graph neural networks (GNNs) have been widely used to learn vector representation of graph-structured data and achieved better task performance than conventional methods. The foundation of GNNs is the message passing procedure, which…

Machine Learning · Computer Science 2022-01-31 Takeshi D. Itoh , Takatomi Kubo , Kazushi Ikeda

Recent advances in representation learning on graphs, mainly leveraging graph convolutional networks, have brought a substantial improvement on many graph-based benchmark tasks. While novel approaches to learning node embeddings are highly…

Machine Learning · Statistics 2018-11-06 Cătălina Cangea , Petar Veličković , Nikola Jovanović , Thomas Kipf , Pietro Liò

We present Gradient Gating (G$^2$), a novel framework for improving the performance of Graph Neural Networks (GNNs). Our framework is based on gating the output of GNN layers with a mechanism for multi-rate flow of message passing…

Employing graph neural networks (GNNs) for graph clustering has shown promising results in deep graph clustering. However, existing methods disregard the reciprocal relationship between representation learning and structure augmentation:…

Machine Learning · Computer Science 2026-05-19 Shifei Ding , Benyu Wu , Xiao Xu , Ling Ding , Xindong Wu

Brain surface analysis is essential to neuroscience, however, the complex geometry of the brain cortex hinders computational methods for this task. The difficulty arises from a discrepancy between 3D imaging data, which is represented in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Karthik Gopinath , Christian Desrosiers , Herve Lombaert

We present a novel and hierarchical approach for supervised classification of signals spanning over a fixed graph, reflecting shared properties of the dataset. To this end, we introduce a Convolutional Cluster Pooling layer exploiting a…

Machine Learning · Computer Science 2019-02-14 Angelo Porrello , Davide Abati , Simone Calderara , Rita Cucchiara

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

Numerous approaches have been explored for graph clustering, including those which optimize a global criteria such as modularity. More recently, Graph Neural Networks (GNNs), which have produced state-of-the-art results in graph analysis…

Social and Information Networks · Computer Science 2023-08-21 Co Tran , Mo Badawy , Tyler McDonnell

Agglomeration-based strategies are important both within adaptive refinement algorithms and to construct scalable multilevel algebraic solvers. In order to automatically perform agglomeration of polygonal grids, we propose the use of…

Numerical Analysis · Mathematics 2023-03-17 P. F. Antonietti , N. Farenga , E. Manuzzi , G. Martinelli , L. Saverio

Graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. Despite achieving significant progress in exploiting both attributed and structured data information, graph clustering…

Machine Learning · Computer Science 2025-01-03 Rui Zhang , Xiaoyang Hou , Zhihua Tian , Yan he , Enchao Gong , Jian Liu , Qingbiao Wu , Kui Ren

Graph-level clustering is a fundamental task of data mining, aiming at dividing unlabeled graphs into distinct groups. However, existing deep methods that are limited by pooling have difficulty extracting diverse and complex graph structure…

Machine Learning · Computer Science 2025-04-03 Renda Han , Guangzhen Yao , Wenxin Zhang , Yu Li , Wen Xin , Huajie Lei , Mengfei Li , Zeyu Zhang , Chengze Du , Yahe Tian

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

Applications · Statistics 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

We propose a novel graph clustering method guided by additional information on the underlying structure of the clusters (or communities). The problem is formulated as the matching of a graph to a template with smaller dimension, hence…

Machine Learning · Statistics 2021-07-06 Mateus Riva , Florian Yger , Pietro Gori , Roberto M. Cesar , Isabelle Bloch

Graph neural networks have achieved great success in learning node representations for graph tasks such as node classification and link prediction. Graph representation learning requires graph pooling to obtain graph representations from…

Machine Learning · Computer Science 2020-07-22 Zhengyang Wang , Shuiwang Ji

Clustering holds profound significance in data mining. In recent years, graph convolutional network (GCN) has emerged as a powerful tool for deep clustering, integrating both graph structural information and node attributes. However, most…

Machine Learning · Computer Science 2024-10-29 Qiankun Li , Haobing Liu , Ruobing Jiang , Tingting Wang

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

Machine Learning · Computer Science 2024-12-05 Yizhu Chen

Accurate traffic conditions prediction provides a solid foundation for vehicle-environment coordination and traffic control tasks. Because of the complexity of road network data in spatial distribution and the diversity of deep learning…

Machine Learning · Computer Science 2022-09-09 Shilin Pu , Liang Chu , Zhuoran Hou , Jincheng Hu , Yanjun Huang , Yuanjian Zhang

Graph pooling has been increasingly considered for graph neural networks (GNNs) to facilitate hierarchical graph representation learning. Existing graph pooling methods commonly consist of two stages, i.e., selecting the top-ranked nodes…

Machine Learning · Computer Science 2022-04-28 Mingxing Xu , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong