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Graph Signal Processing deals with the problem of analyzing and processing signals defined on graphs. In this paper, we introduce a novel filtering method for graph-based signals by employing ideas from topological data analysis. We begin…

Signal Processing · Electrical Eng. & Systems 2024-08-27 Matias de Jong van Lier , Sebastián Elías Graiff Zurita , Shizuo Kaji

Automatic building extraction from optical imagery remains a challenge due to, for example, the complexity of building shapes. Semantic segmentation is an efficient approach for this task. The latest development in deep convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Yilei Shi , Qingyu Li , Xiao Xiang Zhu

Existing defects in software components is unavoidable and leads to not only a waste of time and money but also many serious consequences. To build predictive models, previous studies focus on manually extracting features or using tree…

Software Engineering · Computer Science 2018-02-15 Anh Viet Phan , Minh Le Nguyen , Lam Thu Bui

Numerous important problems can be framed as learning from graph data. We propose a framework for learning convolutional neural networks for arbitrary graphs. These graphs may be undirected, directed, and with both discrete and continuous…

Machine Learning · Computer Science 2016-06-09 Mathias Niepert , Mohamed Ahmed , Konstantin Kutzkov

Graph convolutional networks (GCNs) have been successfully applied in node classification tasks of network mining. However, most of these models based on neighborhood aggregation are usually shallow and lack the "graph pooling" mechanism,…

Social and Information Networks · Computer Science 2019-06-11 Fenyu Hu , Yanqiao Zhu , Shu Wu , Liang Wang , Tieniu Tan

Graph inference plays an essential role in machine learning, pattern recognition, and classification. Signal processing based approaches in literature generally assume some variational property of the observed data on the graph. We make a…

Information Theory · Computer Science 2020-08-24 B. Subbareddy , Aditya Siripuram , Jingxin Zhang

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 Neural Networks (GCNN) are becoming a preferred model for data processing on irregular domains, yet their analysis and principles of operation are rarely examined due to the black box nature of NNs. To this end, we…

Machine Learning · Computer Science 2021-08-25 Ljubisa Stankovic , Danilo Mandic

Graph Convolutional Networks (GCNs) are powerful for processing graph-structured data and have achieved state-of-the-art performance in several tasks such as node classification, link prediction, and graph classification. However, it is…

Machine Learning · Computer Science 2021-10-19 Langzhang Liang , Cuiyun Gao , Shiyi Chen , Shishi Duan , Yu pan , Junjin Zheng , Lei Wang , Zenglin Xu

We propose a simple, interpretable framework for solving a wide range of image reconstruction problems such as denoising and deconvolution. Given a corrupted input image, the model synthesizes a spatially varying linear filter which, when…

Image and Video Processing · Electrical Eng. & Systems 2018-11-29 Shu Kong , Charless Fowlkes

Recently, deep learning methods such as the convolutional neural networks have gained prominence in the area of image denoising. This is owing to their proven ability to surpass state-of-the-art classical image denoising algorithms such as…

Image and Video Processing · Electrical Eng. & Systems 2024-09-02 Basit O. Alawode , Mudassir Masood

Matrix completion models are among the most common formulations of recommender systems. Recent works have showed a boost of performance of these techniques when introducing the pairwise relationships between users/items in the form of…

Machine Learning · Computer Science 2017-04-25 Federico Monti , Michael M. Bronstein , Xavier Bresson

Scene parsing is an important and challenging prob- lem in computer vision. It requires labeling each pixel in an image with the category it belongs to. Tradition- ally, it has been approached with hand-engineered features from color…

Machine Learning · Statistics 2014-11-18 Rahul Mohan

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…

Machine Learning · Computer Science 2020-11-24 Hoang NT , Takanori Maehara , Tsuyoshi Murata

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

This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

Machine Learning · Computer Science 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

This work proposes an unsupervised fusion framework based on deep convolutional transform learning. The great learning ability of convolutional filters for data analysis is well acknowledged. The success of convolutive features owes to…

Machine Learning · Computer Science 2020-11-10 Pooja Gupta , Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux , Giovanni Chierchia

Graph neural networks (GNNs) extends the functionality of traditional neural networks to graph-structured data. Similar to CNNs, an optimized design of graph convolution and pooling is key to success. Borrowing ideas from physics, we…

Machine Learning · Computer Science 2022-01-12 Zheng Ma , Junyu Xuan , Yu Guang Wang , Ming Li , Pietro Lio

To analyze data supported by arbitrary graphs G, DSP has been extended to Graph Signal Processing (GSP) by redefining traditional DSP concepts like shift, filtering, and Fourier transform among others. This paper revisits modulation,…

Signal Processing · Electrical Eng. & Systems 2019-12-17 John Shi , Jose M. F. Moura

Graph Neural Networks (GNN) exhibit superior performance in graph representation learning, but their inference cost can be high, due to an aggregation operation that can require a memory fetch for a very large number of nodes. This…

Machine Learning · Computer Science 2025-03-18 Yaochen Hu , Mai Zeng , Ge Zhang , Pavel Rumiantsev , Liheng Ma , Yingxue Zhang , Mark Coates