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We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely…

Functional Analysis · Mathematics 2009-12-22 David K Hammond , Pierre Vandergheynst , Rémi Gribonval

Graph machine learning has been widely explored in various domains, such as community detection, transaction analysis, and recommendation systems. In these applications, anomaly detection plays an important role. Recently, studies have…

Machine Learning · Computer Science 2025-11-21 Wei Herng Choong , Jixing Liu , Ching-Yu Kao , Philip Sperl

We propose a graph spectrum-based Gaussian process for prediction of signals defined on nodes of the graph. The model is designed to capture various graph signal structures through a highly adaptive kernel that incorporates a flexible…

Machine Learning · Computer Science 2020-10-29 Yin-Cong Zhi , Yin Cheng Ng , Xiaowen Dong

The multi-scale information among the whole slide images (WSIs) is essential for cancer diagnosis. Although the existing multi-scale vision Transformer has shown its effectiveness for learning multi-scale image representation, it still…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Saisai Ding , Juncheng Li , Jun Wang , Shihui Ying , Jun Shi

In this paper, we investigate the application of graph signal processing (GSP) theory in speech enhancement. We first propose a set of shift operators to construct graph speech signals, and then analyze their spectrum in the graph Fourier…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-15 Xue Yan , Zhen Yang , Tingting Wang , Haiyan Guo

Brain connectomes offer detailed maps of neural connections within the brain. Recent studies have proposed novel connectome graph datasets and attempted to improve connectome classification by using graph deep learning. With recent advances…

Machine Learning · Computer Science 2025-03-21 Jose Lara-Rangel , Clare Heinbaugh

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…

Machine Learning · Computer Science 2021-11-01 Jia Li , Jiajin Li , Yang Liu , Jianwei Yu , Yueting Li , Hong Cheng

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

Modern neuroimaging techniques provide us with unique views on brain structure and function; i.e., how the brain is wired, and where and when activity takes place. Data acquired using these techniques can be analyzed in terms of its network…

Image and Video Processing · Electrical Eng. & Systems 2018-01-31 Weiyu Huang , Thomas A. W. Bolton , John D. Medaglia , Danielle S. Bassett , Alejandro Ribeiro , Dimitri Van De Ville

The rapid advancement of image inpainting tools, especially those aimed at removing artifacts, has made digital image manipulation alarmingly accessible. This paper proposes several innovative ideas for detecting inpainting forgeries based…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Barglazan Adrian-Alin , Brad Remus

Learning-based MIMO detection has shown strong empirical performance, yet existing methods typically rely on fixed-depth architectures without explicitly modeling the progressive refinement of symbol estimates. In this paper, we revisit…

Information Theory · Computer Science 2026-05-04 Nan Jiang , Jiadong Hong , Lei Liu , Xinyu Bian , Wenjie Wang , Zhaoyang Zhang

The present work proposes a computer-aided normal and abnormal heart sound identification based on Discrete Wavelet Transform (DWT), it being useful for tele-diagnosis of heart diseases. Due to the presence of Cumulative Frequency…

Computer Vision and Pattern Recognition · Computer Science 2012-09-11 Nilanjan Dey , Achintya Das , Sheli Sinha Chaudhuri

This paper introduces a design method for densergraph-frequency graph Fourier frames (DGFFs) to enhance graph signal processing and analysis. The graph Fourier transform (GFT) enables us to analyze graph signals in the graph spectral domain…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Kaito Nitani , Seisuke Kyochi

In the field of graph signal processing (GSP), directed graphs present a particular challenge for the "standard approaches" of GSP to due to their asymmetric nature. The presence of negative- or complex-weight directed edges, a graphical…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Kevin Schultz , Marisel Villafane-Delgado

Graph representation learning has become a hot research topic due to its powerful nonlinear fitting capability in extracting representative node embeddings. However, for sequential data such as speech signals, most traditional methods…

Sound · Computer Science 2024-05-08 Yingxue Gao , Huan Zhao , Zixing Zhang

Medical image segmentation is a critical task that plays a vital role in diagnosis, treatment planning, and disease monitoring. Accurate segmentation of anatomical structures and abnormalities from medical images can aid in the early…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Reza Azad , Amirhossein Kazerouni , Alaa Sulaiman , Afshin Bozorgpour , Ehsan Khodapanah Aghdam , Abin Jose , Dorit Merhof

Spectral graph convolutional neural networks (GCNNs) have been producing encouraging results in graph classification tasks. However, most spectral GCNNs utilize fixed graphs when aggregating node features, while omitting edge feature…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Yang Yi , Xuequan Lu , Shang Gao , Antonio Robles-Kelly , Yuejie Zhang

With the rise of short video content, efficient video summarization techniques for extracting key information have become crucial. However, existing methods struggle to capture the global temporal dependencies and maintain the semantic…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Wenrui Li , Wei Han , Liang-Jian Deng , Ruiqin Xiong , Xiaopeng Fan

Filters are fundamental in extracting information from data. For time series and image data that reside on Euclidean domains, filters are the crux of many signal processing and machine learning techniques, including convolutional neural…

Signal Processing · Electrical Eng. & Systems 2024-02-21 Elvin Isufi , Fernando Gama , David I. Shuman , Santiago Segarra

Graph neural networks (GNNs) are shown to be successful in modeling applications with graph structures. However, training an accurate GNN model requires a large collection of labeled data and expressive features, which might be inaccessible…

Machine Learning · Computer Science 2019-06-03 Ziniu Hu , Changjun Fan , Ting Chen , Kai-Wei Chang , Yizhou Sun
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