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To deepen our understanding of graph neural networks, we investigate the representation power of Graph Convolutional Networks (GCN) through the looking glass of graph moments, a key property of graph topology encoding path of various…

机器学习 · 计算机科学 2019-11-04 Nima Dehmamy , Albert-László Barabási , Rose Yu

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

机器学习 · 计算机科学 2017-08-17 Ruoyu Li , Junzhou Huang

Graph Convolutional Networks (GCNs) have shown very powerful for graph data representation and learning tasks. Existing GCNs usually conduct feature aggregation on a fixed neighborhood graph in which each node computes its representation by…

计算机视觉与模式识别 · 计算机科学 2019-11-21 Bo Jiang , Beibei Wang , Jin Tang , Bin Luo

We study Graph Convolutional Networks (GCN) from the graph signal processing viewpoint by addressing a difference between learning graph filters with fully connected weights versus trainable polynomial coefficients. We find that by stacking…

机器学习 · 计算机科学 2020-11-24 Hoang NT , Takanori Maehara , Tsuyoshi Murata

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…

信号处理 · 电气工程与系统科学 2019-01-30 Fernando Gama , Antonio G. Marques , Geert Leus , Alejandro Ribeiro

Deep-predictive-coding networks (DPCNs) are hierarchical, generative models. They rely on feed-forward and feed-back connections to modulate latent feature representations of stimuli in a dynamic and context-sensitive manner. A crucial…

人工智能 · 计算机科学 2021-09-27 Isaac J. Sledge , Jose C. Principe

The excellent performance of deep neural networks has enabled us to solve several automatization problems, opening an era of autonomous devices. However, current deep net architectures are heavy with millions of parameters and require…

计算机视觉与模式识别 · 计算机科学 2018-07-06 Dat Thanh Tran , Alexandros Iosifidis , Moncef Gabbouj

We present a multi-filtering Graph Convolution Neural Network (GCN) framework for network embedding task. It uses multiple local GCN filters to do feature extraction in every propagation layer. We show this approach could capture different…

机器学习 · 计算机科学 2020-04-06 Tingyi Wanyan , Chenwei Zhang , Ariful Azad , Xiaomin Liang , Daifeng Li , Ying Ding

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. To elucidate the capabilities and limitations of GCNs, we investigate their power, as a function of their number of layers, to distinguish…

机器学习 · 统计学 2020-05-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Deep learning methods are powerful tools but often suffer from expensive computation and limited flexibility. An alternative is to combine light-weight models with deep representations. As successful cases exist in several visual problems,…

计算机视觉与模式识别 · 计算机科学 2015-09-25 Bin Yang , Junjie Yan , Zhen Lei , Stan Z. Li

Hyperbolic graph convolutional networks (HGCNs) have demonstrated significant potential in extracting information from hierarchical graphs. However, existing HGCNs are limited to shallow architectures due to the computational expense of…

机器学习 · 计算机科学 2024-08-12 Jiaxu Liu , Xinping Yi , Xiaowei Huang

Many interesting problems in machine learning are being revisited with new deep learning tools. For graph-based semisupervised learning, a recent important development is graph convolutional networks (GCNs), which nicely integrate local…

机器学习 · 计算机科学 2018-01-24 Qimai Li , Zhichao Han , Xiao-Ming Wu

Recent works have shown that exploiting multi-scale representations deeply learned via convolutional neural networks (CNN) is of tremendous importance for accurate contour detection. This paper presents a novel approach for predicting…

计算机视觉与模式识别 · 计算机科学 2018-01-03 Dan Xu , Wanli Ouyang , Xavier Alameda-Pineda , Elisa Ricci , Xiaogang Wang , Nicu Sebe

The Convolutional Neural Network (CNN) has been successfully applied in many fields during recent decades; however it lacks the ability to utilize prior domain knowledge when dealing with many realistic problems. We present a framework…

计算机视觉与模式识别 · 计算机科学 2018-09-05 Yangling Ma , Yixin Luo , Zhouwang Yang

Training a Convolutional Neural Network (CNN) to be robust against rotation has mostly been done with data augmentation. In this paper, another progressive vision of research direction is highlighted to encourage less dependence on data…

计算机视觉与模式识别 · 计算机科学 2021-10-22 Sungwon Hwang , Hyungtae Lim , Hyun Myung

Within the world of machine learning there exists a wide range of different methods with respective advantages and applications. This paper seeks to present and discuss one such method, namely Convolutional Neural Networks (CNNs). CNNs are…

计算机视觉与模式识别 · 计算机科学 2020-11-30 Lars Lien Ankile , Morgan Feet Heggland , Kjartan Krange

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…

社会与信息网络 · 计算机科学 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

Message passing is a core mechanism in Graph Neural Networks (GNNs), enabling the iterative update of node embeddings by aggregating information from neighboring nodes. Graph Convolutional Networks (GCNs) exemplify this approach by adapting…

机器学习 · 计算机科学 2026-03-26 Mayssa Soussia , Gita Ayu Salsabila , Mohamed Ali Mahjoub , Islem Rekik

Twisted Convolutional Networks (TCNs) are proposed as a novel deep learning architecture for classifying one-dimensional data with arbitrary feature order and minimal spatial relationships. Unlike conventional Convolutional Neural Networks…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Junbo Jacob Lian , Haoran Chen , Kaichen Ouyang , Yujun Zhang , Rui Zhong , Huiling Chen

Graph convolutional neural networks (GCNs) embed nodes in a graph into Euclidean space, which has been shown to incur a large distortion when embedding real-world graphs with scale-free or hierarchical structure. Hyperbolic geometry offers…

机器学习 · 计算机科学 2019-10-30 Ines Chami , Rex Ying , Christopher Ré , Jure Leskovec