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Convolutional layers in graph neural networks are a fundamental type of layer which output a representation or embedding of each graph vertex. The representation typically encodes information about the vertex in question and its…

Machine Learning · Computer Science 2020-08-26 Padraig Corcoran

Graph neural networks, which generalize deep neural network models to graph structured data, have attracted increasing attention in recent years. They usually learn node representations by transforming, propagating and aggregating node…

Machine Learning · Computer Science 2019-05-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Jiliang Tang

In the recent years, high energy physics discoveries have been driven by the increasing of luminosity and/or detector granularity. This evolution gives access to bigger statistics and data samples, but can make it hard to process results…

High Energy Physics - Experiment · Physics 2025-02-07 Matthieu Melennec , Shamik Ghosh , Frédéric Magniette

Graph neural networks (GNN) extends deep learning to graph-structure dataset. Similar to Convolutional Neural Networks (CNN) using on image prediction, convolutional and pooling layers are the foundation to success for GNN on graph…

Machine Learning · Computer Science 2023-02-28 Lingjie Kong , Yun Liao

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

Machine Learning · Computer Science 2024-12-05 Yizhu Chen

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

We propose a novel graph pooling operation using cliques as the unit pool. As this approach is purely topological, rather than featural, it is more readily interpretable, a better analogue to image coarsening than filtering or pruning…

Machine Learning · Computer Science 2019-04-10 Enxhell Luzhnica , Ben Day , Pietro Lio'

The inception network has been shown to provide good performance on image classification problems, but there are not much evidences that it is also effective for the image restoration or pixel-wise labeling problems. For image restoration…

Computer Vision and Pattern Recognition · Computer Science 2017-01-24 Yoonsik Kim , Insung Hwang , Nam Ik Cho

Graph neural networks (GNNs) have been used effectively in different applications involving the processing of signals on irregular structures modeled by graphs. Relying on the use of shift-invariant graph filters, GNNs extend the operation…

Machine Learning · Computer Science 2020-03-05 Alejandro Parada-Mayorga , Luana Ruiz , Alejandro Ribeiro

Graph pooling compresses graph information into a compact representation. State-of-the-art graph pooling methods follow a hierarchical approach, which reduces the graph size step-by-step. These methods must balance memory efficiency with…

Machine Learning · Computer Science 2024-02-23 Yunchong Song , Siyuan Huang , Xinbing Wang , Chenghu Zhou , Zhouhan Lin

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

Social and Information Networks · Computer Science 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

In this paper we propose a pooling approach for convolutional information processing on graphs relying on the theory of graphons and limits of dense graph sequences. We present three methods that exploit the induced graphon representation…

Machine Learning · Computer Science 2023-08-24 Alejandro Parada-Mayorga , Zhiyang Wang , Alejandro Ribeiro

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 neural networks have attracted wide attentions to enable representation learning of graph data in recent works. In complement to graph convolution operators, graph pooling is crucial for extracting hierarchical representation of graph…

Machine Learning · Computer Science 2020-06-22 Xing Gao , Wenrui Dai , Chenglin Li , Hongkai Xiong , Pascal Frossard

With the development of graph convolutional networks (GCN), deep learning methods have started to be used on graph data. In additional to convolutional layers, pooling layers are another important components of deep learning. However, no…

Artificial Intelligence · Computer Science 2019-03-12 Hongyang Gao , Yongjun Chen , Shuiwang Ji

Graph Neural Networks (GNNs) have shown significant success for graph-based tasks. Motivated by the prevalence of large datasets in real-world applications, pooling layers are crucial components of GNNs. By reducing the size of input…

Machine Learning · Computer Science 2026-01-13 Katharina Limbeck , Lydia Mezrag , Guy Wolf , Bastian Rieck

Our formal understanding of the inductive bias that drives the success of convolutional networks on computer vision tasks is limited. In particular, it is unclear what makes hypotheses spaces born from convolution and pooling operations so…

Neural and Evolutionary Computing · Computer Science 2017-04-19 Nadav Cohen , Amnon Shashua

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

Convolutional neural networks (CNNs) are being applied to an increasing number of problems and fields due to their superior performance in classification and regression tasks. Since two of the key operations that CNNs implement are…

Machine Learning · Computer Science 2018-02-27 Fernando Gama , Geert Leus , Antonio G. Marques , Alejandro Ribeiro
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