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Recent work has shown that a simple, fast method called Simple Graph Convolution (SGC) (Wu et al., 2019), which eschews deep learning, is competitive with deep methods like graph convolutional networks (GCNs) (Kipf & Welling, 2017) in…

Machine Learning · Computer Science 2022-06-07 Sudhanshu Chanpuriya , Cameron Musco

Graph convolutional networks (GCNs) have recently achieved great empirical success in learning graph-structured data. To address its scalability issue due to the recursive embedding of neighboring features, graph topology sampling has been…

Machine Learning · Computer Science 2023-12-12 Hongkang Li , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

We propose Embedding Propagation (EP), an unsupervised learning framework for graph-structured data. EP learns vector representations of graphs by passing two types of messages between neighboring nodes. Forward messages consist of label…

Machine Learning · Computer Science 2017-10-10 Alberto Garcia-Duran , Mathias Niepert

Over the last few years, we have witnessed the availability of an increasing data generated from non-Euclidean domains, which are usually represented as graphs with complex relationships, and Graph Neural Networks (GNN) have gained a high…

Machine Learning · Computer Science 2023-08-15 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Constraint Satisfaction Problems (CSPs) play a central role in many applications in Artificial Intelligence and Operations Research. In general, solving CSPs is NP-complete. The structure of CSPs is best described by hypergraphs. Therefore,…

Artificial Intelligence · Computer Science 2021-01-01 Georg Gottlob , Matthias Lanzinger , Davide Mario Longo , Cem Okulmus , Reinhard Pichler

Convolutional neural networks (CNNs) have massively impacted visual recognition in 2D images, and are now ubiquitous in state-of-the-art approaches. CNNs do not easily extend, however, to data that are not represented by regular grids, such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Nitika Verma , Edmond Boyer , Jakob Verbeek

We introduce a convolutional neural network that operates directly on graphs. These networks allow end-to-end learning of prediction pipelines whose inputs are graphs of arbitrary size and shape. The architecture we present generalizes…

Graph Convolutional Networks (GCNs) have proven to be successful tools for semi-supervised learning on graph-based datasets. For sparse graphs, linear and polynomial filter functions have yielded impressive results. For large non-sparse…

Machine Learning · Computer Science 2019-05-27 Dominik Alfke , Martin Stoll

The field of Graph Signal Processing (GSP) has proposed tools to generalize harmonic analysis to complex domains represented through graphs. Among these tools are translations, which are required to define many others. Most works propose to…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Raphael Baena , Lucas Drumetz , Vincent Gripon

This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

Graph convolutional network (GCN) is an emerging neural network approach. It learns new representation of a node by aggregating feature vectors of all neighbors in the aggregation process without considering whether the neighbors or…

Machine Learning · Computer Science 2022-04-01 Li Zhang , Heda Song , Nikolaos Aletras , Haiping Lu

Graph convolutional networks (GCNs) have achieved great success in graph representation learning by extracting high-level features from nodes and their topology. Since GCNs generally follow a message-passing mechanism, each node aggregates…

Machine Learning · Computer Science 2023-09-07 Wei Duan , Junyu Xuan , Maoying Qiao , Jie Lu

Predicting properties of nodes in a graph is an important problem with applications in a variety of domains. Graph-based Semi-Supervised Learning (SSL) methods aim to address this problem by labeling a small subset of the nodes as seeds and…

Machine Learning · Computer Science 2019-02-13 Shikhar Vashishth , Prateek Yadav , Manik Bhandari , Partha Talukdar

To solve the problem that convolutional neural networks (CNNs) are difficult to process non-grid type relational data like graphs, Kipf et al. proposed a graph convolutional neural network (GCN). The core idea of the GCN is to perform…

Machine Learning · Computer Science 2019-04-17 Shangsheng Xie , Mingming Lu

In this work, we propose a novel hybrid method for scene text detection namely Correlation Propagation Network (CPN). It is an end-to-end trainable framework engined by advanced Convolutional Neural Networks. Our CPN predicts text objects…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Zichuan Liu , Guosheng Lin , Wang Ling Goh , Fayao Liu , Chunhua Shen , Xiaokang Yang

We present diffusion-convolutional neural networks (DCNNs), a new model for graph-structured data. Through the introduction of a diffusion-convolution operation, we show how diffusion-based representations can be learned from…

Machine Learning · Computer Science 2016-07-11 James Atwood , Don Towsley

The computational singular perturbation (CSP) method is an algorithm which iteratively approximates slow manifolds and fast fibers in multiple-timescale dynamical systems. Since its inception due to Lam and Goussis, the convergence of the…

Dynamical Systems · Mathematics 2019-06-17 Ian Lizarraga , Martin Wechselberger

Convolutional neural networks (CNNs) have achieved great success on grid-like data such as images, but face tremendous challenges in learning from more generic data such as graphs. In CNNs, the trainable local filters enable the automatic…

Machine Learning · Computer Science 2018-09-05 Hongyang Gao , Zhengyang Wang , Shuiwang Ji

Deep Learning's recent successes have mostly relied on Convolutional Networks, which exploit fundamental statistical properties of images, sounds and video data: the local stationarity and multi-scale compositional structure, that allows…

Machine Learning · Computer Science 2015-06-18 Mikael Henaff , Joan Bruna , Yann LeCun

Deep learning methods for graphs achieve remarkable performance on many node-level and graph-level prediction tasks. However, despite the proliferation of the methods and their success, prevailing Graph Neural Networks (GNNs) neglect…

Machine Learning · Computer Science 2020-11-10 Emily Alsentzer , Samuel G. Finlayson , Michelle M. Li , Marinka Zitnik