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Graph Neural Networks (GNNs) require a large number of labeled graph samples to obtain good performance on the graph classification task. The performance of GNNs degrades significantly as the number of labeled graph samples decreases. To…

Machine Learning · Computer Science 2023-09-20 Abdullah Alchihabi , Yuhong Guo

In this work, we propose a novel approach for subgraph matching, the problem of finding a given query graph in a large source graph, based on the fused Gromov-Wasserstein distance. We formulate the subgraph matching problem as a partial…

Information Theory · Computer Science 2024-07-01 Wen-Xin Pan , Isabel Haasler , Pascal Frossard

This work considers the problem of computing distances between structured objects such as undirected graphs, seen as probability distributions in a specific metric space. We consider a new transportation distance (i.e. that minimizes a…

Machine Learning · Statistics 2019-05-14 Titouan Vayer , Laetitia Chapel , Rémi Flamary , Romain Tavenard , Nicolas Courty

This work develops \emph{mixup for graph data}. Mixup has shown superiority in improving the generalization and robustness of neural networks by interpolating features and labels between two random samples. Traditionally, Mixup can work on…

Machine Learning · Computer Science 2022-02-17 Xiaotian Han , Zhimeng Jiang , Ninghao Liu , Xia Hu

Mixup is a data augmentation technique that enhances model generalization by interpolating between data points using a mixing ratio $\lambda$ in the image domain. Recently, the concept of mixup has been adapted to the graph domain through…

Machine Learning · Computer Science 2024-12-12 Weigang Lu , Ziyu Guan , Wei Zhao , Yaming Yang , Yibing Zhan , Yiheng Lu , Dapeng Tao

In many real-world contexts, such as social or transport networks, data exhibit both structural connectivity and node-level attributes. For example, roads in a transport network can be characterized not only by their connectivity but also…

Methodology · Statistics 2025-12-18 Ioana Gavra , Ketsia Guichard-Sustowski , Loïc Le Marrec

We study graph data augmentation by mixup, which has been used successfully on images. A key operation of mixup is to compute a convex combination of a pair of inputs. This operation is straightforward for grid-like data, such as images,…

Machine Learning · Computer Science 2023-06-13 Hongyi Ling , Zhimeng Jiang , Meng Liu , Shuiwang Ji , Na Zou

Current Graph Neural Networks (GNN) architectures generally rely on two important components: node features embedding through message passing, and aggregation with a specialized form of pooling. The structural (or topological) information…

Machine Learning · Computer Science 2022-06-01 Cédric Vincent-Cuaz , Rémi Flamary , Marco Corneli , Titouan Vayer , Nicolas Courty

Recent years have witnessed great success in handling node classification tasks with Graph Neural Networks (GNNs). However, most existing GNNs are based on the assumption that node samples for different classes are balanced, while for many…

Machine Learning · Computer Science 2021-06-22 Lirong Wu , Haitao Lin , Zhangyang Gao , Cheng Tan , Stan. Z. Li

Structured data, such as graphs, is vital in machine learning due to its capacity to capture complex relationships and interactions. In recent years, the Fused Gromov-Wasserstein (FGW) distance has attracted growing interest because it…

Machine Learning · Computer Science 2025-09-29 Yikun Bai , Shuang Wang , Huy Tran , Hengrong Du , Juexin Wang , Soheil Kolouri

Mixup has shown considerable success in mitigating the challenges posed by limited labeled data in image classification. By synthesizing samples through the interpolation of features and labels, Mixup effectively addresses the issue of data…

Machine Learning · Computer Science 2024-07-16 Wentao Zhao , Qitian Wu , Chenxiao Yang , Junchi Yan

A novel Gromov-Wasserstein learning framework is proposed to jointly match (align) graphs and learn embedding vectors for the associated graph nodes. Using Gromov-Wasserstein discrepancy, we measure the dissimilarity between two graphs and…

Machine Learning · Computer Science 2019-05-08 Hongteng Xu , Dixin Luo , Hongyuan Zha , Lawrence Carin

Graph-structured datasets usually have irregular graph sizes and connectivities, rendering the use of recent data augmentation techniques, such as Mixup, difficult. To tackle this challenge, we present the first Mixup-like graph…

Machine Learning · Computer Science 2021-12-21 Joonhyung Park , Hajin Shim , Eunho Yang

We propose a scalable Gromov-Wasserstein learning (S-GWL) method and establish a novel and theoretically-supported paradigm for large-scale graph analysis. The proposed method is based on the fact that Gromov-Wasserstein discrepancy is a…

Machine Learning · Computer Science 2019-10-10 Hongteng Xu , Dixin Luo , Lawrence Carin

We develop a novel data-driven nonlinear mixup mechanism for graph data augmentation and present different mixup functions for sample pairs and their labels. Mixup is a data augmentation method to create new training data by linearly…

Machine Learning · Computer Science 2022-10-31 Madeline Navarro , Santiago Segarra

Comparing structured data from possibly different metric-measure spaces is a fundamental task in machine learning, with applications in, e.g., graph classification. The Gromov-Wasserstein (GW) discrepancy formulates a coupling between the…

Machine Learning · Computer Science 2022-07-12 Hongwei Jin , Zishun Yu , Xinhua Zhang

Pairwise comparison of graphs is key to many applications in Machine learning ranging from clustering, kernel-based classification/regression and more recently supervised graph prediction. Distances between graphs usually rely on…

Machine Learning · Statistics 2023-09-29 Junjie Yang , Matthieu Labeau , Florence d'Alché-Buc

Graph Neural Networks (GNNs) have become mainstream methods for solving the semi-supervised node classification problem. However, due to the uneven location distribution of labeled nodes in the graph, labeled nodes are only accessible to a…

Machine Learning · Computer Science 2023-12-22 Weigang Lu , Ziyu Guan , Wei Zhao , Yaming Yang , Long Jin

Graph Neural Networks (GNNs) have shown great performance in various tasks, with the core idea of learning from data labels and aggregating messages within the neighborhood of nodes. However, the common challenges in graphs are twofold:…

Machine Learning · Computer Science 2024-11-04 Shenghe Zheng , Hongzhi Wang , Xianglong Liu

Graph Neural Networks (GNNs) have received increasing attention due to their ability to learn from graph-structured data. However, their predictions are often not interpretable. Post-hoc instance-level explanation methods have been proposed…

Machine Learning · Computer Science 2023-07-18 Jiaxing Zhang , Dongsheng Luo , Hua Wei
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