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Pooling is one of the main elements in convolutional neural networks. The pooling reduces the size of the feature map, enabling training and testing with a limited amount of computation. This paper proposes a new pooling method named…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Junhyuk Hyun , Hongje Seong , Euntai Kim

In Graph Neural Networks (GNNs), hierarchical pooling operators generate local summaries of the data by coarsening the graph structure and the vertex features. While considerable attention has been devoted to analyzing the expressive power…

Machine Learning · Computer Science 2023-10-16 Filippo Maria Bianchi , Veronica Lachi

Graph-structured data arise in many scenarios. A fundamental problem is to quantify the similarities of graphs for tasks such as classification. R-convolution graph kernels are positive-semidefinite functions that decompose graphs into…

Machine Learning · Computer Science 2022-01-25 Wei Ye , Omid Askarisichani , Alex Jones , Ambuj Singh

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. We investigate the power of GCNs, as a function of their number of layers, to distinguish between different random graph models on the basis of…

Machine Learning · Statistics 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Feature learning on point clouds has shown great promise, with the introduction of effective and generalizable deep learning frameworks such as pointnet++. Thus far, however, point features have been abstracted in an independent and…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Chu Wang , Babak Samari , Kaleem Siddiqi

Heterogeneous graph neural network has unleashed great potential on graph representation learning and shown superior performance on downstream tasks such as node classification and clustering. Existing heterogeneous graph learning networks…

Machine Learning · Computer Science 2022-11-01 Tiehua Zhang , Yuze Liu , Yao Yao , Youhua Xia , Xin Chen , Xiaowei Huang , Jiong Jin

Graph convolutional networks have been successful in addressing graph-based tasks such as semi-supervised node classification. Existing methods use a network structure defined by the user based on experimentation with fixed number of layers…

Machine Learning · Computer Science 2021-01-21 Negar Heidari , Alexandros Iosifidis

Graph convolutional networks (GCNs) are \emph{discriminative models} that directly model the class posterior $p(y|\mathbf{x})$ for semi-supervised classification of graph data. While being effective, as a representation learning approach,…

Machine Learning · Computer Science 2023-05-30 Tianchun Wang , Farzaneh Mirzazadeh , Xiang Zhang , Jie Chen

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Graph neural networks (GNNs) are one of the most popular approaches to using deep learning on graph-structured data, and they have shown state-of-the-art performances on a variety of tasks. However, according to a recent study, a careful…

Machine Learning · Computer Science 2021-10-08 Jihoon Ko , Taehyung Kwon , Kijung Shin , Juho Lee

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

Graph-level representation learning is the pivotal step for downstream tasks that operate on the whole graph. The most common approach to this problem heretofore is graph pooling, where node features are typically averaged or summed to…

Machine Learning · Computer Science 2022-09-20 Kaixuan Chen , Jie Song , Shunyu Liu , Na Yu , Zunlei Feng , Gengshi Han , Mingli Song

We consider the graph link prediction task, which is a classic graph analytical problem with many real-world applications. With the advances of deep learning, current link prediction methods commonly compute features from subgraphs centered…

Machine Learning · Computer Science 2020-10-21 Lei Cai , Jundong Li , Jie Wang , Shuiwang Ji

Traditional convolutional neural networks are limited to handling Euclidean space data, overlooking the vast realm of real-life scenarios represented as graph data, including transportation networks, social networks, and reference networks.…

Machine Learning · Computer Science 2023-07-04 Xingyu Liu , Juan Chen , Quan Wen

In this paper, we develop a novel local graph pooling method, namely the Separated Subgraph-based Hierarchical Pooling (SSHPool), for graph classification. We commence by assigning the nodes of a sample graph into different clusters,…

Artificial Intelligence · Computer Science 2024-08-14 Zhuo Xu , Lixin Cui , Ming Li , Yue Wang , Ziyu Lyu , Hangyuan Du , Lu Bai , Philip S. Yu , Edwin R. Hancock

Recent years have witnessed the emergence and flourishing of hierarchical graph pooling neural networks (HGPNNs) which are effective graph representation learning approaches for graph level tasks such as graph classification. However,…

Machine Learning · Computer Science 2020-12-14 Haoteng Tang , Guixiang Ma , Lifang He , Heng Huang , Liang Zhan

Convolutional neural networks (CNNs) have achieved remarkable performance in many applications, especially in image recognition tasks. As a crucial component of CNNs, sub-sampling plays an important role for efficient training or invariance…

Machine Learning · Computer Science 2020-03-17 Hayoung Eom , Heeyoul Choi

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

Graph Convolutional Networks (GCNs) have shown to be effective in handling unordered data like point clouds and meshes. In this work we propose novel approaches for graph convolution, pooling and unpooling, inspired from finite differences…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Moshe Eliasof , Eran Treister

Encouraged by the success of Convolutional Neural Networks (CNNs) in image classification, recently much effort is spent on applying CNNs to video based action recognition problems. One challenge is that video contains a varying number of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-17 Peng Wang , Yuanzhouhan Cao , Chunhua Shen , Lingqiao Liu , Heng Tao Shen