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Gaussian processes (GPs) are an attractive class of machine learning models because of their simplicity and flexibility as building blocks of more complex Bayesian models. Meanwhile, graph neural networks (GNNs) emerged recently as a…

Machine Learning · Computer Science 2023-02-14 Zehao Niu , Mihai Anitescu , Jie Chen

The graph convolutional networks (GCN) recently proposed by Kipf and Welling are an effective graph model for semi-supervised learning. This model, however, was originally designed to be learned with the presence of both training and test…

Machine Learning · Computer Science 2018-02-01 Jie Chen , Tengfei Ma , Cao Xiao

Learning transformation invariant representations of visual data is an important problem in computer vision. Deep convolutional networks have demonstrated remarkable results for image and video classification tasks. However, they have…

Computer Vision and Pattern Recognition · Computer Science 2017-03-02 Renata Khasanova , Pascal Frossard

We focus on graph-to-sequence learning, which can be framed as transducing graph structures to sequences for text generation. To capture structural information associated with graphs, we investigate the problem of encoding graphs using…

Computation and Language · Computer Science 2019-09-10 Zhijiang Guo , Yan Zhang , Zhiyang Teng , Wei Lu

Graph convolutional networks (GCNs) have been attracting widespread attentions due to their encouraging performance and powerful generalizations. However, few work provide a general view to interpret various GCNs and guide GCNs' designs. In…

Machine Learning · Computer Science 2023-07-04 Shiping Wang , Zhihao Wu , Yuhong Chen , Yong Chen

In view of the huge success of convolution neural networks (CNN) for image classification and object recognition, there have been attempts to generalize the method to general graph-structured data. One major direction is based on spectral…

Machine Learning · Computer Science 2020-03-09 Feng Ji , Jielong Yang , Qiang Zhang , Wee Peng Tay

Most state-of-the-art graph kernels only take local graph properties into account, i.e., the kernel is computed with regard to properties of the neighborhood of vertices or other small substructures. On the other hand, kernels that do take…

Machine Learning · Computer Science 2017-09-25 Christopher Morris , Kristian Kersting , Petra Mutzel

The convolution operation is a central building block of neural network architectures widely used in computer vision. The size of the convolution kernels determines both the expressiveness of convolutional neural networks (CNN), as well as…

Image and Video Processing · Electrical Eng. & Systems 2022-10-10 Tianyu Ma , Adrian V. Dalca , Mert R. Sabuncu

To read the final version please go to IEEE TGRS on IEEE Xplore. Convolutional neural networks (CNNs) have been attracting increasing attention in hyperspectral (HS) image classification, owing to their ability to capture spatial-spectral…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Danfeng Hong , Lianru Gao , Jing Yao , Bing Zhang , Antonio Plaza , Jocelyn Chanussot

Graphs have been widely adopted to denote structural connections between entities. The relations are in many cases heterogeneous, but entangled together and denoted merely as a single edge between a pair of nodes. For example, in a social…

Machine Learning · Computer Science 2020-10-13 Yiding Yang , Zunlei Feng , Mingli Song , Xinchao Wang

Recent works have made great progress in semantic segmentation by exploiting contextual information in a local or global manner with dilated convolutions, pyramid pooling or self-attention mechanism. In order to avoid potential misleading…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Hanzhe Hu , Deyi Ji , Weihao Gan , Shuai Bai , Wei Wu , Junjie Yan

A neural code on $ n $ neurons is a collection of subsets of the set $ [n]=\{1,2,\dots,n\} $. In this paper, we study some properties of graphs of neural codes. In particular, we study codeword containment graph (CCG) given by Chan et al.…

Combinatorics · Mathematics 2024-03-27 Suhith K N , Neha Gupta

Recent studies have indicated that Graph Convolutional Networks (GCNs) act as a \emph{low pass} filter in spectral domain and encode smoothed node representations. In this paper, we consider their opposite, namely Graph Deconvolutional…

Machine Learning · Computer Science 2020-12-23 Jia Li , Tomas Yu , Da-Cheng Juan , Arjun Gopalan , Hong Cheng , Andrew Tomkins

The fundamental principle of Graph Neural Networks (GNNs) is to exploit the structural information of the data by aggregating the neighboring nodes using a `graph convolution' in conjunction with a suitable choice for the network…

Machine Learning · Computer Science 2023-11-01 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

Two architectures that generalize convolutional neural networks (CNNs) for the processing of signals supported on graphs are introduced. We start with the selection graph neural network (GNN), which replaces linear time invariant filters…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Fernando Gama , Antonio G. Marques , Geert Leus , Alejandro Ribeiro

Learning representation on graph plays a crucial role in numerous tasks of pattern recognition. Different from grid-shaped images/videos, on which local convolution kernels can be lattices, however, graphs are fully coordinate-free on…

Machine Learning · Computer Science 2018-11-13 Jiatao Jiang , Zhen Cui , Chunyan Xu , Jian Yang

Graph Convolutional Networks (GCN) with multi-hop aggregation is more expressive than one-hop GCN but suffers from higher model complexity. Finding the shortest aggregation range that achieves comparable expressiveness and minimizes this…

Machine Learning · Computer Science 2021-10-15 Peihao Wang , Yuehao Wang , Hua Lin , Jianbo Shi

Graph signals are widely used to describe vertex attributes or features in graph-structured data, with applications spanning the internet, social media, transportation, sensor networks, and biomedicine. Graph signal processing (GSP) has…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Yu Zhang , Linyu Peng , Bing-Zhao Li

The rise of graph-structured data such as social networks, regulatory networks, citation graphs, and functional brain networks, in combination with resounding success of deep learning in various applications, has brought the interest in…

Machine Learning · Computer Science 2018-11-01 Ron Levie , Federico Monti , Xavier Bresson , Michael M. Bronstein

Graph convolution networks, like message passing graph convolution networks (MPGCNs), have been a powerful tool in representation learning of networked data. However, when data is heterogeneous, most architectures are limited as they employ…

Machine Learning · Computer Science 2021-06-21 Xing Gao , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong , Pascal Frossard
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