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Graph classification is an important problem with applications across many domains, like chemistry and bioinformatics, for which graph neural networks (GNNs) have been state-of-the-art (SOTA) methods. GNNs are designed to learn node-level…

Machine Learning · Computer Science 2021-08-25 Lanning Wei , Huan Zhao , Quanming Yao , Zhiqiang He

Graph data augmentation has shown superiority in enhancing generalizability and robustness of GNNs in graph-level classifications. However, existing methods primarily focus on the augmentation in the graph signal space and the graph…

Machine Learning · Computer Science 2023-10-05 Xinyu Ma , Xu Chu , Yasha Wang , Yang Lin , Junfeng Zhao , Liantao Ma , Wenwu Zhu

We revisit the recent polynomial-time algorithm for the MAX WEIGHT INDEPENDENT SET (MWIS) problem in bounded-degree graphs that do not contain a fixed graph whose every component is a subdivided claw as an induced subgraph [Abrishami,…

Data Structures and Algorithms · Computer Science 2024-01-15 Tara Abrishami , Maria Chudnovsky , Cemil Dibek , Marcin Pilipczuk , Paweł Rzążewski

We tackle the problem of forecasting network-signal snapshots using past signal measurements acquired by a subset of network nodes. This task can be seen as a combination of multivariate time-series prediction and graph-signal…

Signal Processing · Electrical Eng. & Systems 2020-06-03 Gabriela Lewenfus , Wallace Alves Martins , Symeon Chatzinotas , Björn Ottersten

Deep learning methods for graphs have seen rapid progress in recent years with much focus awarded to generalising Convolutional Neural Networks (CNN) to graph data. CNNs are typically realised by alternating convolutional and pooling layers…

Machine Learning · Computer Science 2020-06-04 Yaniv Shulman

Despite remarkable success in diverse web-based applications, Graph Neural Networks(GNNs) inherit and further exacerbate historical discrimination and social stereotypes, which critically hinder their deployments in high-stake domains such…

Machine Learning · Computer Science 2025-01-28 Ying Song , Balaji Palanisamy

Recent years have witnessed the great success of graph pre-training for graph representation learning. With hundreds of graph pre-training tasks proposed, integrating knowledge acquired from multiple pre-training tasks has become a popular…

Machine Learning · Computer Science 2024-03-05 Tianyu Fan , Lirong Wu , Yufei Huang , Haitao Lin , Cheng Tan , Zhangyang Gao , Stan Z. Li

We show that the Maximum Weight Independent Set problem (MWIS) can be solved in quasi-polynomial time on $H$-free graphs (graphs excluding a fixed graph $H$ as an induced subgraph) for every $H$ whose every connected component is a path or…

Data Structures and Algorithms · Computer Science 2025-09-24 Peter Gartland , Daniel Lokshtanov , Tomáš Masařík , Marcin Pilipczuk , Michał Pilipczuk , Paweł Rzążewski

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

Convolution operations designed for graph-structured data usually utilize the graph Laplacian, which can be seen as message passing between the adjacent neighbors through a generic random walk. In this paper, we propose PAN, a new graph…

Machine Learning · Computer Science 2019-07-22 Zheng Ma , Ming Li , Yuguang Wang

A 2-packing set for an undirected, weighted graph G=(V,E,w) is a subset S of the vertices V such that any two vertices are not adjacent and have no common neighbors. The Maximum Weight 2-Packing Set problem that asks for a 2-packing set of…

Data Structures and Algorithms · Computer Science 2025-02-21 Jannick Borowitz , Ernestine Großmann , Christian Schulz

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

Graph neural networks (GNNs) excel at predictive tasks on graph-structured data but often lack the ability to incorporate symbolic domain knowledge and perform general reasoning. Relational Bayesian Networks (RBNs), in contrast, enable…

Artificial Intelligence · Computer Science 2025-07-30 Raffaele Pojer , Andrea Passerini , Kim G. Larsen , Manfred Jaeger

Graph Convolutional Networks (GCNs) have made significant advances in semi-supervised learning, especially for classification tasks. However, existing GCN based methods have two main drawbacks. First, to increase the receptive field and…

Computer Vision and Pattern Recognition · Computer Science 2019-11-13 Qikui Zhu , Bo Du , Pingkun Yan

Graph embedding has attracted increasing attention due to its critical application in social network analysis. Most existing algorithms for graph embedding only rely on the typology information and fail to use the copious information in…

Artificial Intelligence · Computer Science 2018-01-18 Guolei Sun , Xiangliang Zhang

We introduce a novel loss max-pooling concept for handling imbalanced training data distributions, applicable as alternative loss layer in the context of deep neural networks for semantic image segmentation. Most real-world semantic…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Samuel Rota Bulò , Gerhard Neuhold , Peter Kontschieder

Real-world optimization problems are generally not just black-box problems, but also involve mixed types of inputs in which discrete and continuous variables coexist. Such mixed-space optimization possesses the primary challenge of modeling…

Machine Learning · Computer Science 2022-02-09 Jaeyeon Ahn , Taehyeon Kim , Seyoung Yun

We propose PiNet, a generalised differentiable attention-based pooling mechanism for utilising graph convolution operations for graph level classification. We demonstrate high sample efficiency and superior performance over other graph…

Machine Learning · Computer Science 2020-08-12 Peter Meltzer , Marcelo Daniel Gutierrez Mallea , Peter J. Bentley

Graph Neural Networks (GNNs) is an architecture for structural data, and has been adopted in a mass of tasks and achieved fabulous results, such as link prediction, node classification, graph classification and so on. Generally, for a…

Machine Learning · Computer Science 2022-05-12 Ye Tang , Xuesong Yang , Xinrui Liu , Xiwei Zhao , Zhangang Lin , Changping Peng

Multiplex graphs, characterised by their layered structure, exhibit informative interdependencies within layers that are crucial for understanding complex network dynamics. Quantifying the interaction and shared information among these…

Statistics Theory · Mathematics 2024-05-24 Anda Skeja , Sofia C. Olhede