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Graph Neural Networks (GNNs) are popular machine learning methods for modeling graph data. A lot of GNNs perform well on homophily graphs while having unsatisfactory performance on heterophily graphs. Recently, some researchers turn their…

机器学习 · 计算机科学 2022-09-20 Wendong Bi , Lun Du , Qiang Fu , Yanlin Wang , Shi Han , Dongmei Zhang

Graph neural networks (GNNs) have attracted much attention because of their excellent performance on tasks such as node classification. However, there is inadequate understanding on how and why GNNs work, especially for node representation…

机器学习 · 计算机科学 2020-06-09 Guoji Fu , Yifan Hou , Jian Zhang , Kaili Ma , Barakeel Fanseu Kamhoua , James Cheng

While deep learning (DL) architectures like convolutional neural networks (CNNs) have enabled effective solutions in image denoising, in general their implementations overly rely on training data, lack interpretability, and require tuning…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Huy Vu , Gene Cheung , Yonina C. Eldar

In this paper, we consider an inverse problem in graph learning domain -- ``given the graph representations smoothed by Graph Convolutional Network (GCN), how can we reconstruct the input graph signal?" We propose Graph Deconvolutional…

机器学习 · 计算机科学 2021-11-01 Jia Li , Jiajin Li , Yang Liu , Jianwei Yu , Yueting Li , Hong Cheng

Recent research on the robustness of Graph Neural Networks (GNNs) under noises or attacks has attracted great attention due to its importance in real-world applications. Most previous methods explore a single noise source, recovering…

机器学习 · 计算机科学 2024-08-02 Tianmeng Yang , Jiahao Meng , Min Zhou , Yaming Yang , Yujing Wang , Xiangtai Li , Yunhai Tong

Geometric data analysis relies on graphs that are either given as input or inferred from data. These graphs are often treated as "correct" when solving downstream tasks such as graph signal denoising. But real-world graphs are known to…

信号处理 · 电气工程与系统科学 2023-10-17 Valentin Debarnot , Vinith Kishore , Cheng Shi , Ivan Dokmanić

A fundamental problem in signal processing is to denoise a signal. While there are many well-performing methods for denoising signals defined on regular supports, such as images defined on two-dimensional grids of pixels, many important…

信号处理 · 电气工程与系统科学 2023-02-20 Samuel Rey , Santiago Segarra , Reinhard Heckel , Antonio G. Marques

Graph Neural Networks (GNNs) and their message passing framework that leverages both structural and feature information, have become a standard method for solving graph-based machine learning problems. However, these approaches still…

机器学习 · 计算机科学 2024-11-20 Simon Delarue , Thomas Bonald , Tiphaine Viard

Narrowing the performance gap between optimal and feasible detection in inter-symbol interference (ISI) channels, this paper proposes to use graph neural networks (GNNs) for detection that can also be used to perform joint detection and…

信息论 · 计算机科学 2025-07-16 Jannis Clausius , Marvin Rübenacke , Daniel Tandler , Stephan ten Brink

This paper proposes to use graph neural networks (GNNs) for equalization, that can also be used to perform joint equalization and decoding (JED). For equalization, the GNN is build upon the factor graph representations of the channel, while…

信息论 · 计算机科学 2024-01-30 Jannis Clausius , Marvin Geiselhart , Daniel Tandler , Stephan ten Brink

Networks are widely used in many fields for their powerful ability to provide vivid representations of relationships between variables. However, many of them may be corrupted by experimental noise or inappropriate network inference methods…

分子网络 · 定量生物学 2021-09-21 Jiating Yu , Jiacheng Leng , Ling-Yun Wu

We propose an interpretable graph neural network framework to denoise single or multiple noisy graph signals. The proposed graph unrolling networks expand algorithm unrolling to the graph domain and provide an interpretation of the…

信号处理 · 电气工程与系统科学 2021-09-08 Siheng Chen , Yonina C. Eldar , Lingxiao Zhao

While Graph Neural Networks (GNNs) excel on graph-structured data, their performance is fundamentally limited by the quality of the observed graph, which often contains noise, missing links, or structural properties misaligned with GNNs'…

机器学习 · 计算机科学 2026-01-14 Hao Deng , Bo Liu

Graph Neural Networks (GNNs) have risen to prominence in learning representations for graph structured data. A single GNN layer typically consists of a feature transformation and a feature aggregation operation. The former normally uses…

机器学习 · 计算机科学 2021-10-19 Yao Ma , Xiaorui Liu , Tong Zhao , Yozen Liu , Jiliang Tang , Neil Shah

Graph Neural Networks (GNNs) excel at analyzing graph-structured data but struggle on heterophilic graphs, where connected nodes often belong to different classes. While this challenge is commonly addressed with specialized GNN…

机器学习 · 计算机科学 2025-05-20 Harel Mendelman , Haggai Maron , Ronen Talmon

Graph Neural Networks (GNNs) have shown to be powerful tools for graph analytics. The key idea is to recursively propagate and aggregate information along edges of the given graph. Despite their success, however, the existing GNNs are…

机器学习 · 计算机科学 2020-11-16 Dongsheng Luo , Wei Cheng , Wenchao Yu , Bo Zong , Jingchao Ni , Haifeng Chen , Xiang Zhang

We propose a denoising method for multimodal graph signals by an alternating minimization scheme that sequentially solves signal restoration and graph learning problems. Many complex-structured data, i.e., those on sensor networks, can…

信号处理 · 电气工程与系统科学 2026-04-23 Hayate Kojima , Keigo Takanami , Junya Hara , Yukihiro Bandoh , Seishi Takamura , Hiroshi Higashi , Yuichi Tanaka

Graph signal processing is a ubiquitous task in many applications such as sensor, social, transportation and brain networks, point cloud processing, and graph neural networks. Often, graph signals are corrupted in the sensing process, thus…

信号处理 · 电气工程与系统科学 2022-07-27 Masatoshi Nagahama , Koki Yamada , Yuichi Tanaka , Stanley H. Chan , Yonina C. Eldar

Graph neural networks (GNNs) have shown advantages in graph-based analysis tasks. However, most existing methods have the homogeneity assumption and show poor performance on heterophilic graphs, where the linked nodes have dissimilar…

机器学习 · 计算机科学 2024-04-16 Tianhao Peng , Wenjun Wu , Haitao Yuan , Zhifeng Bao , Zhao Pengrui , Xin Yu , Xuetao Lin , Yu Liang , Yanjun Pu

Recovering an image from a noisy observation is a key problem in signal processing. Recently, it has been shown that data-driven approaches employing convolutional neural networks can outperform classical model-based techniques, because…

图像与视频处理 · 电气工程与系统科学 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli
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