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Graph Fourier transform (GFT) is one of the fundamental tools in graph signal processing to decompose graph signals into different frequency components and to represent graph signals with strong correlation by different modes of variation…

信息论 · 计算机科学 2022-09-08 Cheng Cheng , Yang Chen , Jeon Yu Lee , Qiyu Sun

Despite their widespread use, purely data-driven methods often suffer from overfitting, lack of physical consistency, and high data dependency, particularly when physical constraints are not incorporated. This study introduces a novel data…

流体动力学 · 物理学 2025-07-28 M. Quattromini , M. A. Bucci , S. Cherubini , O. Semeraro

Graph signal processing (GSP) is an emerging field developed for analyzing signals defined on irregular spatial structures modeled as graphs. Given the considerable literature regarding the resilience of infrastructure networks using graph…

信号处理 · 电气工程与系统科学 2020-07-22 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

Recovery of signals with elements defined on the nodes of a graph, from compressive measurements is an important problem, which can arise in various domains such as sensor networks, image reconstruction and group testing. In some scenarios,…

信号处理 · 电气工程与系统科学 2024-02-19 Sabyasachi Ghosh , Ajit Rajwade

In many network problems, graphs may change by the addition of nodes, or the same problem may need to be solved in multiple similar graphs. This generates inefficiency, as analyses and systems that are not transferable have to be…

信号处理 · 电气工程与系统科学 2019-11-11 Luana Ruiz , Luiz F. O. Chamon , Alejandro Ribeiro

With the growing demand for non-Euclidean data analysis, graph signal processing (GSP) has gained significant attention for its capability to handle complex time-varying data. This paper introduces a novel sampling method based on the joint…

综合数学 · 数学 2025-06-03 Yu Zhang , Bing-Zhao Li

Graph Neural Networks (GNNs) have emerged as promising solutions for collaborative filtering (CF) through the modeling of user-item interaction graphs. The nucleus of existing GNN-based recommender systems involves recursive message passing…

机器学习 · 计算机科学 2024-05-21 Peiyan Zhang , Yuchen Yan , Xi Zhang , Chaozhuo Li , Senzhang Wang , Feiran Huang , Sunghun Kim

Due to mutual interference between users, power allocation problems in wireless networks are often non-convex and computationally challenging. Graph neural networks (GNNs) have recently emerged as a promising approach to tackling these…

网络与互联网体系结构 · 计算机科学 2024-01-09 Lili Chen , Jingge Zhu , Jamie Evans

In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

其他统计学 · 统计学 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

Collaborative path planning for robot swarms in complex, unknown environments without external positioning is a challenging problem. This requires robots to find safe directions based on real-time environmental observations, and to…

机器人学 · 计算机科学 2025-01-03 Chenxi Li , Weining Lu , Zhihao Ma , Litong Meng , Bin Liang

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

定量方法 · 定量生物学 2019-01-30 Christopher K. Kovach , Phillip E. Gander

Accurate and efficient power flow (PF) analysis is crucial in modern electrical networks' operation and planning. Therefore, there is a need for scalable algorithms that can provide accurate and fast solutions for both small and large scale…

机器学习 · 计算机科学 2024-02-14 Nan Lin , Stavros Orfanoudakis , Nathan Ordonez Cardenas , Juan S. Giraldo , Pedro P. Vergara

In this paper, we propose a new regression-based algorithm to compute Graph Fourier Transform (GFT). Our algorithm allows different regularizations to be included when computing the GFT analysis components, so that the resulting components…

信号处理 · 电气工程与系统科学 2018-11-22 Seyed Hamid Safavi , Manas Khatua , Ngai-Man Cheung , Farah Torkamani-Azar

Floods can be very destructive causing heavy damage to life, property, and livelihoods. Global climate change and the consequent sea-level rise have increased the occurrence of extreme weather events, resulting in elevated and frequent…

机器学习 · 计算机科学 2023-10-12 Jimeng Shi , Vitalii Stebliankin , Zhaonan Wang , Shaowen Wang , Giri Narasimhan

In this paper we consider the problem of constructing graph Fourier transforms (GFTs) for directed graphs (digraphs), with a focus on developing multiple GFT designs that can capture different types of variation over the digraph…

信号处理 · 电气工程与系统科学 2023-04-11 Laura Shimabukuro , Antonio Ortega

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

机器学习 · 计算机科学 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

The graph fractional Fourier transform (GFRFT) for unitary graph Fourier transform (GFT) matrices can be interpreted through the scalar function $e^{j\alpha\theta}$ on the unit circle. Under the principal branch, its Fourier-series…

信号处理 · 电气工程与系统科学 2026-05-19 Ziqi Yan , Mingzhi Wang , Sen Shi , Feiyue Zhao , Manjun Cui , Yangfan He , Zhichao Zhang

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…

信号处理 · 电气工程与系统科学 2020-07-16 Leila Ben Saad , Baltasar Beferull-Lozano

Graph signal processing (GSP) has emerged as a powerful tool for practical network applications, including power system monitoring. Recent research has focused on developing GSP-based methods for state estimation, attack detection, and…

信号处理 · 电气工程与系统科学 2024-10-28 Gal Morgenstern , Jip Kim , James Anderson , Gil Zussman , Tirza Routtenberg

Modern compression systems use linear transformations in their encoding and decoding processes, with transforms providing compact signal representations. While multiple data-dependent transforms for image/video coding can adapt to diverse…

图像与视频处理 · 电气工程与系统科学 2024-11-26 Alessandro Gnutti , Fabrizio Guerrini , Riccardo Leonardi , Antonio Ortega