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This paper studies the problem of graph-level clustering, which is a novel yet challenging task. This problem is critical in a variety of real-world applications such as protein clustering and genome analysis in bioinformatics. Recent years…

Machine Learning · Computer Science 2023-03-09 Wei Ju , Yiyang Gu , Binqi Chen , Gongbo Sun , Yifang Qin , Xingyuming Liu , Xiao Luo , Ming Zhang

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

Machine Learning · Statistics 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

We propose CRaWl, a novel neural network architecture for graph learning. Like graph neural networks, CRaWl layers update node features on a graph and thus can freely be combined or interleaved with GNN layers. Yet CRaWl operates…

Machine Learning · Computer Science 2023-08-22 Jan Tönshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Graph neural networks have been widely used on modeling graph data, achieving impressive results on node classification and link prediction tasks. Yet, obtaining an accurate representation for a graph further requires a pooling function…

Machine Learning · Computer Science 2021-06-29 Jinheon Baek , Minki Kang , Sung Ju Hwang

Learning on graph structured data has drawn increasing interest in recent years. Frameworks like Graph Convolutional Networks (GCNs) have demonstrated their ability to capture structural information and obtain good performance in various…

Machine Learning · Computer Science 2020-05-19 Yufan Zhou , Jiayi Xian , Changyou Chen , Jinhui Xu

This paper introduces a novel and generic framework to solve the flagship task of supervised labeled graph prediction by leveraging Optimal Transport tools. We formulate the problem as regression with the Fused Gromov-Wasserstein (FGW) loss…

Machine Learning · Statistics 2022-06-27 Luc Brogat-Motte , Rémi Flamary , Céline Brouard , Juho Rousu , Florence d'Alché-Buc

We address the task of identifying densely connected subsets of multivariate Gaussian random variables within a graphical model framework. We propose two novel estimators based on the Ordered Weighted $\ell_1$ (OWL) norm: 1) The Graphical…

Machine Learning · Statistics 2020-11-20 Cody Mazza-Anthony , Bogdan Mazoure , Mark Coates

Graph similarity learning (GSL), also referred to as graph matching in many scenarios, is a fundamental problem in computer vision, pattern recognition, and graph learning. However, previous GSL methods assume that graphs are homogeneous…

Machine Learning · Computer Science 2025-03-13 Shilong Sang , Ke-Jia Chen , Zheng liu

Graph convolutional networks gain remarkable success in semi-supervised learning on graph structured data. The key to graph-based semisupervised learning is capturing the smoothness of labels or features over nodes exerted by graph…

Machine Learning · Computer Science 2020-08-03 Bingbing Xu , Huawei Shen , Qi Cao , Keting Cen , Xueqi Cheng

Graph classification is a fundamental but challenging issue for numerous real-world applications. Despite recent great progress in image/video classification, convolutional neural networks (CNNs) cannot yet cater to graphs well because of…

Social and Information Networks · Computer Science 2020-01-13 Jiatao Jiang , Chunyan Xu , Zhen Cui , Tong Zhang , Wenming Zheng , Jian Yang

Graphs effectively characterize relational data, driving graph representation learning methods that uncover underlying predictive information. As state-of-the-art approaches, Graph Neural Networks (GNNs) enable end-to-end learning for…

Machine Learning · Computer Science 2025-04-24 Mao Wang , Tao Wu , Xingping Xian , Shaojie Qiao , Weina Niu , Canyixing Cui

Graph clustering is a fundamental task in graph analysis, and recent advances in utilizing graph neural networks (GNNs) have shown impressive results. Despite the success of existing GNN-based graph clustering methods, they often overlook…

Machine Learning · Computer Science 2023-10-31 Ming Gu , Gaoming Yang , Sheng Zhou , Ning Ma , Jiawei Chen , Qiaoyu Tan , Meihan Liu , Jiajun Bu

We focus on graph classification using a graph neural network (GNN) model that precomputes the node features using a bank of neighborhood aggregation graph operators arranged in parallel. These GNN models have a natural advantage of reduced…

Machine Learning · Computer Science 2022-11-23 Siddhant Doshi , Sundeep Prabhakar Chepuri

Graph Neural Networks (GNNs) are limited in their expressive power, struggle with long-range interactions and lack a principled way to model higher-order structures. These problems can be attributed to the strong coupling between the…

Machine Learning · Computer Science 2022-02-01 Cristian Bodnar , Fabrizio Frasca , Nina Otter , Yu Guang Wang , Pietro Liò , Guido Montúfar , Michael Bronstein

Automatic scoring of student responses enhances efficiency in education, but deploying a separate neural network for each task increases storage demands, maintenance efforts, and redundant computations. To address these challenges, this…

Computation and Language · Computer Science 2025-03-14 Luyang Fang , Ehsan Latif , Haoran Lu , Yifan Zhou , Ping Ma , Xiaoming Zhai

Learning low-dimensional representations from multi-view relational data is challenging when underlying geometries differ across views. We propose Bary-GWMDS, a Gromov-Wasserstein-based method that operates directly on distance matrices to…

Machine Learning · Computer Science 2026-04-28 Rafael Pereira Eufrazio , Eduardo Fernandes Montesuma , Charles Casimiro Cavalcante

We propose a theoretical framework of multi-way similarity to model real-valued data into hypergraphs for clustering via spectral embedding. For graph cut based spectral clustering, it is common to model real-valued data into graph by…

Machine Learning · Computer Science 2022-08-17 Shota Saito

Spectral clustering (SC) and graph-based semi-supervised learning (SSL) algorithms are sensitive to how graphs are constructed from data. In particular if the data has proximal and unbalanced clusters these algorithms can lead to poor…

Machine Learning · Statistics 2013-02-22 Jing Qian , Venkatesh Saligrama

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

When learning graph neural networks (GNNs) in node-level prediction tasks, most existing loss functions are applied for each node independently, even if node embeddings and their labels are non-i.i.d. because of their graph structures. To…

Machine Learning · Computer Science 2024-03-14 Minjie Cheng , Hongteng Xu