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Teaching Graph Neural Networks (GNNs) to accurately classify nodes under severely noisy labels is an important problem in real-world graph learning applications, but is currently underexplored. Although pairwise training methods have…

Machine Learning · Computer Science 2023-06-06 Xuefeng Du , Tian Bian , Yu Rong , Bo Han , Tongliang Liu , Tingyang Xu , Wenbing Huang , Yixuan Li , Junzhou Huang

To improve the robustness of subband adaptive filter (SAF) against impulsive interferences, we propose two modified SAF algorithms with an individual scale function for each subband, which are derived by maximizing correntropy-based cost…

Other Computer Science · Computer Science 2017-06-30 Yi Yu , Haiquan Zhao , Badong Chen , Zhengyou He

For automotive applications, the Graph Attention Network (GAT) is a prominently used architecture to include relational information of a traffic scenario during feature embedding. As shown in this work, however, one of the most popular GAT…

Machine Learning · Computer Science 2023-05-26 Marion Neumeier , Andreas Tollkühn , Sebastian Dorn , Michael Botsch , Wolfgang Utschick

This paper studies the statistical models of the noise-robust normalized subband adaptive filter (NR-NSAF) algorithm in the mean and mean square deviation senses involving transient-state and steady-state behavior by resorting to the method…

Signal Processing · Electrical Eng. & Systems 2019-08-22 Yi Yu , Haiquan Zhao , Badong Chen , Wenyuan Wang , Lu Lu

Sampling of signals belonging to a low-dimensional subspace has well-documented merits for dimensionality reduction, limited memory storage, and online processing of streaming network data. When the subspace is known, these signals can be…

Information Theory · Computer Science 2019-11-26 Fernando Gama , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges and subgraphs in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? For example, in intrusion…

Data Structures and Algorithms · Computer Science 2023-07-18 Siddharth Bhatia , Mohit Wadhwa , Kenji Kawaguchi , Neil Shah , Philip S. Yu , Bryan Hooi

The recovery of time-varying graph signals is a fundamental problem with numerous applications in sensor networks and forecasting in time series. Effectively capturing the spatio-temporal information in these signals is essential for the…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Jhon A. Castro-Correa , Jhony H. Giraldo , Anindya Mondal , Mohsen Badiey , Thierry Bouwmans , Fragkiskos D. Malliaros

This paper proposes a robust adaptive algorithm for smooth graph signal recovery which is based on generalized correntropy. A proper cost function is defined for this purpose. The proposed algorithm is derived and a kernel width…

Signal Processing · Electrical Eng. & Systems 2022-09-20 Razieh Torkamani , Hadi Zayyani , Farokh Marvasti

We study the quantization of real-valued bandlimited signals on graphs, focusing on low-bit representations. We propose iterative noise-shaping algorithms for quantization, including sampling approaches with and without vertex replacement.…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Felix Krahmer , He Lyu , Rayan Saab , Jinna Qian , Anna Veselovska , Rongrong Wang

The aim of this chapter is to give an overview of the recent advances related to sampling and recovery of signals defined over graphs. First, we illustrate the conditions for perfect recovery of bandlimited graph signals from samples…

Signal Processing · Electrical Eng. & Systems 2017-12-27 P. Di Lorenzo , S. Barbarossa , P. Banelli

In a semi-supervised learning scenario, (possibly noisy) partially observed labels are used as input to train a classifier, in order to assign labels to unclassified samples. In this paper, we study this classifier learning problem from a…

Machine Learning · Computer Science 2017-07-21 Gene Cheung , Weng-Tai Su , Yu Mao , Chia-Wen Lin

Inductive one-bit matrix completion is motivated by modern applications such as recommender systems, where new users would appear at test stage with the ratings consisting of only ones and no zeros. We propose a unified graph signal…

Machine Learning · Computer Science 2023-02-09 Chao Chen , Haoyu Geng , Gang Zeng , Zhaobing Han , Hua Chai , Xiaokang Yang , Junchi Yan

Graphs are irregular structures which naturally account for data integrity, however, traditional approaches have been established outside Signal Processing, and largely focus on analyzing the underlying graphs rather than signals on graphs.…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Ilya Kisil , Ervin Sejdic , Anthony G. Constantinides

We propose a kernel regression method to predict a target signal lying over a graph when an input observation is given. The input and the output could be two different physical quantities. In particular, the input may not be a graph signal…

Information Theory · Computer Science 2019-08-02 Arun Venkitaraman , Saikat Chatterjee , Peter Händel

This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the…

Optimization and Control · Mathematics 2013-12-31 Tadilo Endeshaw Bogale , Luc Vandendorpe

We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that enable the reconstruction of an initial band-limited signal…

Information Theory · Computer Science 2024-11-20 Akram Aldroubi , Victor Bailey , Ilya Krishtal , Brendan Miller , Armenak Petrosyan

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

In this letter, we propose an algorithm for learning a sparse weighted graph by estimating its adjacency matrix under the assumption that the observed signals vary smoothly over the nodes of the graph. The proposed algorithm is based on the…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Ghania Fatima , Aakash Arora , Prabhu Babu , Petre Stoica

We propose a supervised learning approach for predicting an underlying graph from a set of graph signals. Our approach is based on linear regression. In the linear regression model, we predict edge-weights of a graph as the output, given a…

Information Theory · Computer Science 2018-11-06 Arun Venkitaraman , Hermina Petric Maretic , Saikat Chatterjee , Pascal Frossard

The application of graph signal processing (GSP) on partially observed graph signals with missing nodes has gained attention recently. This is because processing data from large graphs are difficult, if not impossible due to the lack of…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Hoang-Son Nguyen , Hoi-To Wai