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Given an input graph G and a node v in G, homogeneous network embedding (HNE) maps the graph structure in the vicinity of v to a compact, fixed-dimensional feature vector. This paper focuses on HNE for massive graphs, e.g., with billions of…

Social and Information Networks · Computer Science 2020-06-24 Renchi Yang , Jieming Shi , Xiaokui Xiao , Yin Yang , Sourav S. Bhowmick

Core decomposition is a fundamental graph problem with a large number of applications. Most existing approaches for core decomposition assume that the graph is kept in memory of a machine. Nevertheless, many real-world graphs are big and…

Databases · Computer Science 2015-11-03 Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin , Jeffrey Xu Yu

While there exists a wide variety of graph neural networks (GNN) for node classification, only a minority of them adopt mechanisms that effectively target noise propagation during the message-passing procedure. Additionally, a very…

Machine Learning · Computer Science 2022-04-26 Steph-Yves Louis , Alireza Nasiri , Fatima J. Rolland , Cameron Mitro , Jianjun Hu

Inspired by the conventional pooling layers in convolutional neural networks, many recent works in the field of graph machine learning have introduced pooling operators to reduce the size of graphs. The great variety in the literature stems…

Machine Learning · Computer Science 2024-03-26 Daniele Grattarola , Daniele Zambon , Filippo Maria Bianchi , Cesare Alippi

Existing popular methods for semi-supervised learning with Graph Neural Networks (such as the Graph Convolutional Network) provably cannot learn a general class of neighborhood mixing relationships. To address this weakness, we propose a…

Graph Neural Networks (GNNs) have achieved impressive performance in collaborative filtering. However, GNNs tend to yield inferior performance when the distributions of training and test data are not aligned well. Also, training GNNs…

Machine Learning · Computer Science 2023-07-19 Huiyuan Chen , Chin-Chia Michael Yeh , Yujie Fan , Yan Zheng , Junpeng Wang , Vivian Lai , Mahashweta Das , Hao Yang

Graph-based convolutional model such as non-local block has shown to be effective for strengthening the context modeling ability in convolutional neural networks (CNNs). However, its pixel-wise computational overhead is prohibitive which…

Computer Vision and Pattern Recognition · Computer Science 2021-09-01 Xiangtai Li , Xia Li , Ansheng You , Li Zhang , Guangliang Cheng , Kuiyuan Yang , Yunhai Tong , Zhouchen Lin

Adversarial attacks can affect the performance of existing deep learning models. With the increased interest in graph based machine learning techniques, there have been investigations which suggest that these models are also vulnerable to…

Machine Learning · Computer Science 2020-07-15 Florence Regol , Soumyasundar Pal , Mark Coates

Graph Neural Networks (GNNs) tend to suffer from high computation costs due to the exponentially increasing scale of graph data and the number of model parameters, which restricts their utility in practical applications. To this end, some…

Machine Learning · Computer Science 2022-07-20 Chuang Liu , Xueqi Ma , Yibing Zhan , Liang Ding , Dapeng Tao , Bo Du , Wenbin Hu , Danilo Mandic

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

Graph Neural Networks (GNNs) have shown to be powerful tools for graph analytics. The key idea is to recursively propagate and aggregate information along edges of the given graph. Despite their success, however, the existing GNNs are…

Machine Learning · Computer Science 2020-11-16 Dongsheng Luo , Wei Cheng , Wenchao Yu , Bo Zong , Jingchao Ni , Haifeng Chen , Xiang Zhang

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

Machine Learning · Computer Science 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Graph Neural Networks (GNNs) have been predominant for graph learning tasks; however, recent studies showed that a well-known graph algorithm, Label Propagation (LP), combined with a shallow neural network can achieve comparable performance…

Machine Learning · Computer Science 2022-12-01 Zhiqiang Zhong , Sergey Ivanov , Jun Pang

While many graph drawing algorithms consider nodes as points, graph visualization tools often represent them as shapes. These shapes support the display of information such as labels or encode various data with size or color. However, they…

Computational Geometry · Computer Science 2023-04-18 Loann Giovannangeli , Frederic Lalanne , Romain Giot , Romain Bourqui

Graphs are fundamental objects that find widespread applications across computer science and beyond. Graph Theory has yielded deep insights about structural properties of various families of graphs, which are leveraged in the design and…

Data Structures and Algorithms · Computer Science 2023-08-30 Rachit Nimavat

We present a novel method for graph partitioning, based on reinforcement learning and graph convolutional neural networks. Our approach is to recursively partition coarser representations of a given graph. The neural network is implemented…

Machine Learning · Computer Science 2021-06-30 Alice Gatti , Zhixiong Hu , Tess Smidt , Esmond G. Ng , Pieter Ghysels

Graph pooling that summaries the information in a large graph into a compact form is essential in hierarchical graph representation learning. Existing graph pooling methods either suffer from high computational complexity or cannot capture…

Machine Learning · Computer Science 2021-06-01 Yunsheng Pang , Yunxiang Zhao , Dongsheng Li

The prevalence of large-scale graphs poses great challenges in time and storage for training and deploying graph neural networks (GNNs). Several recent works have explored solutions for pruning the large original graph into a small and…

Machine Learning · Computer Science 2023-05-19 Jintang Li , Sheng Tian , Ruofan Wu , Liang Zhu , Welong Zhao , Changhua Meng , Liang Chen , Zibin Zheng , Hongzhi Yin

Graph neural networks (GNN) have been proven to be mature enough for handling graph-structured data on node-level graph representation learning tasks. However, the graph pooling technique for learning expressive graph-level representation…

Machine Learning · Computer Science 2021-04-14 Ning Liu , Songlei Jian , Dongsheng Li , Yiming Zhang , Zhiquan Lai , Hongzuo Xu

Graph Crossing Number is a fundamental problem with various applications. In this problem, the goal is to draw an input graph $G$ in the plane so as to minimize the number of crossings between the images of its edges. Despite extensive…

Data Structures and Algorithms · Computer Science 2021-01-12 Julia Chuzhoy , Sepideh Mahabadi , Zihan Tan