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3D shape analysis is an important research topic in computer vision and graphics. While existing methods have generalized image-based deep learning to meshes using graph-based convolutions, the lack of an effective pooling operation…

Graphics · Computer Science 2019-08-08 Yu-Jie Yuan , Yu-Kun Lai , Jie Yang , Hongbo Fu , Lin Gao

Recently brain networks have been widely adopted to study brain dynamics, brain development and brain diseases. Graph representation learning techniques on brain functional networks can facilitate the discovery of novel biomarkers for…

Machine Learning · Computer Science 2022-07-19 Haoteng Tang , Guixiang Ma , Lei Guo , Xiyao Fu , Heng Huang , Liang Zhang

Graph neural networks have achieved great success in learning node representations for graph tasks such as node classification and link prediction. Graph representation learning requires graph pooling to obtain graph representations from…

Machine Learning · Computer Science 2020-07-22 Zhengyang Wang , Shuiwang Ji

Nowadays, Deep Neural Networks are among the main tools used in various sciences. Convolutional Neural Network is a special type of DNN consisting of several convolution layers, each followed by an activation function and a pooling layer.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-17 Hossein Gholamalinezhad , Hossein Khosravi

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 Neural Network (GNN) research has concentrated on improving convolutional layers, with little attention paid to developing graph pooling layers. Yet pooling layers can enable GNNs to reason over abstracted groups of nodes instead of…

Machine Learning · Computer Science 2019-05-28 Frederik Diehl

Recent works in geometric deep learning have introduced neural networks that allow performing inference tasks on three-dimensional geometric data by defining convolution, and sometimes pooling, operations on triangle meshes. These methods,…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Francesco Milano , Antonio Loquercio , Antoni Rosinol , Davide Scaramuzza , Luca Carlone

Graph representation learning is a fast-growing field where one of the main objectives is to generate meaningful representations of graphs in lower-dimensional spaces. The learned embeddings have been successfully applied to perform various…

Machine Learning · Computer Science 2021-12-21 Md. Khaledur Rahman , Ariful Azad

A large number of surface-based analyses on brain imaging data adopt some specific brain atlases to better assess structural and functional changes in one or more brain regions. In these analyses, it is necessary to obtain an anatomically…

Image and Video Processing · Electrical Eng. & Systems 2019-10-01 Wen Zhang , Yalin Wang

Graph Neural Networks (GNNs) are powerful tools for graph classification. One important operation for GNNs is the downsampling or pooling that can learn effective embeddings from the node representations. In this paper, we propose a new…

Machine Learning · Computer Science 2024-05-17 Zhehan Zhao , Lu Bai , Lixin Cui , Ming Li , Yue Wang , Lixiang Xu , Edwin R. Hancock

Various methods to deal with graph data have been proposed in recent years. However, most of these methods focus on graph feature aggregation rather than graph pooling. Besides, the existing top-k selection graph pooling methods have a few…

Social and Information Networks · Computer Science 2020-02-06 Liang Zhang , Xudong Wang , Hongsheng Li , Guangming Zhu , Peiyi Shen , Ping Li , Xiaoyuan Lu , Syed Afaq Ali Shah , Mohammed Bennamoun

Recent advances in representation learning on graphs, mainly leveraging graph convolutional networks, have brought a substantial improvement on many graph-based benchmark tasks. While novel approaches to learning node embeddings are highly…

Machine Learning · Statistics 2018-11-06 Cătălina Cangea , Petar Veličković , Nikola Jovanović , Thomas Kipf , Pietro Liò

Convolutional neural networks (CNNs), in a few decades, have outperformed the existing state of the art methods in classification context. However, in the way they were formalised, CNNs are bound to operate on euclidean spaces. Indeed,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Chloé Martineau , Romain Raveaux , Donatello Conte , Gilles Venturini

Exploring the complex structure of the human brain is crucial for understanding its functionality and diagnosing brain disorders. Thanks to advancements in neuroimaging technology, a novel approach has emerged that involves modeling the…

Machine Learning · Computer Science 2024-06-06 Xuexiong Luo , Jia Wu , Jian Yang , Shan Xue , Amin Beheshti , Quan Z. Sheng , David McAlpine , Paul Sowman , Alexis Giral , Philip S. Yu

Brain morphometry study plays a fundamental role in neuroimaging research. In this work, we propose a novel method for brain surface morphometry analysis based on surface foliation theory. Given brain cortical surfaces with automatically…

Computational Geometry · Computer Science 2018-09-11 Chengfeng Wen , Na Lei , Ming Ma , Xin Qi , Wen Zhang , Yalin Wang , David Xianfeng Gu

We consider the problem of representation learning for graph data. Convolutional neural networks can naturally operate on images, but have significant challenges in dealing with graph data. Given images are special cases of graphs with…

Machine Learning · Computer Science 2019-05-15 Hongyang Gao , Shuiwang Ji

We seek to improve deep neural networks by generalizing the pooling operations that play a central role in current architectures. We pursue a careful exploration of approaches to allow pooling to learn and to adapt to complex and variable…

Machine Learning · Statistics 2015-10-13 Chen-Yu Lee , Patrick W. Gallagher , Zhuowen Tu

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

Graph neural networks (GNNs) have revolutionized the field of machine learning on non-Euclidean data such as graphs and networks. GNNs effectively implement node representation learning through neighborhood aggregation and achieve…

Machine Learning · Computer Science 2024-04-30 Zehao Dong , Muhan Zhang , Yixin Chen

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