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This work introduces an error feedback approach for reducing quantization noise of distributed graph filters. It comes from error spectrum shaping techniques from state-space digital filters, and therefore establishes connections between…

Systems and Control · Electrical Eng. & Systems 2024-12-10 Xue Xian Zheng , Tareq Al-Naffouri

Graph filters play a key role in processing the graph spectra of signals supported on the vertices of a graph. However, despite their widespread use, graph filters have been analyzed only in the deterministic setting, ignoring the impact of…

Systems and Control · Computer Science 2017-09-18 Elvin Isufi , Andreas Loukas , Andrea Simonetto , Geert Leus

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to…

Signal Processing · Electrical Eng. & Systems 2019-09-30 Isabela Cunha Maia Nobre , Pascal Frossard

Wireless sensor networks (WSNs) are considered as a major technology enabling the Internet of Things (IoT) paradigm. The recent emerging Graph Signal Processing field can also contribute to enabling the IoT by providing key tools, such as…

Signal Processing · Electrical Eng. & Systems 2020-07-16 Leila Ben Saad , Baltasar Beferull-Lozano

In the realm of collaborative filtering recommendation systems, Graph Neural Networks (GNNs) have demonstrated remarkable performance but face significant challenges in deployment on resource-constrained edge devices due to their high…

Information Retrieval · Computer Science 2025-08-25 Lin Li , Chunyang Li , Yu Yin , Xiaohui Tao , Jianwei Zhang

This paper introduces an innovative error feedback framework designed to mitigate quantization noise in distributed graph filtering, where communications are constrained to quantized messages. It comes from error spectrum shaping techniques…

Machine Learning · Computer Science 2026-05-12 Xue Xian Zheng , Weihang Liu , Xin Lou , Stefan Vlaski , Tareq Al-Naffouri

One of the cornerstones of the field of signal processing on graphs are graph filters, direct analogues of classical filters, but intended for signals defined on graphs. This work brings forth new insights on the distributed graph filtering…

Machine Learning · Computer Science 2017-09-18 Elvin Isufi , Andreas Loukas , Andrea Simonetto , Geert Leus

Graph signals arise in various applications, ranging from sensor networks to social media data. The high-dimensional nature of these signals implies that they often need to be compressed in order to be stored and transmitted. The common…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Pei Li , Nir Shlezinger , Haiyang Zhang , Baoyun Wang , Yonina C. Eldar

In the field of signal processing on graphs, graph filters play a crucial role in processing the spectrum of graph signals. This paper proposes two different strategies for designing autoregressive moving average (ARMA) graph filters on…

Signal Processing · Electrical Eng. & Systems 2018-07-02 Jiani Liu , Elvin Isufi , Geert Leus

Finite impulse response (FIR) graph filters play a crucial role in the field of signal processing on graphs. However, when the graph signal is time-varying, the state of the art FIR graph filters do not capture the time variations of the…

Systems and Control · Computer Science 2016-09-22 Elvin Isufi , Geert Leus , Paolo Banelli

We introduce the concept of autoregressive moving average (ARMA) filters on a graph and show how they can be implemented in a distributed fashion. Our graph filter design philosophy is independent of the particular graph, meaning that the…

Social and Information Networks · Computer Science 2015-09-02 Andreas Loukas , Andrea Simonetto , Geert Leus

It has been shown that the effectiveness of graph convolutional network (GCN) for recommendation is attributed to the spectral graph filtering. Most GCN-based methods consist of a graph filter or followed by a low-rank mapping optimized…

Information Retrieval · Computer Science 2024-06-14 Shaowen Peng , Xin Liu , Kazunari Sugiyama , Tsunenori Mine

Graph-based learning provides a powerful framework for modeling complex relational structures; however, its application within the domain of wireless security remains significantly underexplored. In this work, we introduce the first…

Networking and Internet Architecture · Computer Science 2025-06-19 Dania Herzalla , Willian T. Lunardi , Martin Andreoni

We consider a distributed detection problem within a wireless sensor network (WSN), where a substantial number of sensors cooperate to detect the existence of sparse stochastic signals. To achieve a trade-off between detection performance…

Signal Processing · Electrical Eng. & Systems 2024-11-07 Linlin Mao , Shefeng Yan , Zeping Sui , Hongbin Li

In this paper we study the distributed average consensus problem in multi-agent systems with directed communication links that are subject to quantized information flow. Specifically, we present and analyze a distributed averaging algorithm…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

Our goal in this paper is the robust design of filters acting on signals observed over graphs subject to small perturbations of their edges. The focus is on developing a method to identify spectral and polynomial graph filters that can…

Discrete Mathematics · Computer Science 2024-03-26 Lucia Testa , Stefania Sardellitti , Sergio Barbarossa

Graph Neural Network (GNN) training and inference involve significant challenges of scalability with respect to both model sizes and number of layers, resulting in degradation of efficiency and accuracy for large and deep GNNs. We present…

Machine Learning · Computer Science 2023-08-30 Shuang Wang , Bahaeddin Eravci , Rustam Guliyev , Hakan Ferhatosmanoglu

As edge applications using convolutional neural networks (CNN) models grow, it is becoming necessary to introduce dedicated hardware accelerators in which network parameters and feature-map data are represented with limited precision. In…

Neural and Evolutionary Computing · Computer Science 2018-11-01 Doyun Kim , Han Young Yim , Sanghyuck Ha , Changgwun Lee , Inyup Kang

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

Many real-world systems can be represented as graphs where the different entities in the system are presented by nodes and their interactions by edges. An important task in studying large datasets with graphical structure is graph…

Machine Learning · Computer Science 2025-06-04 Meiby Ortiz-Bouza , Selin Aviyente
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