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Real life signals are in general non--stationary and non--linear. The development of methods able to extract their hidden features in a fast and reliable way is of high importance in many research fields. In this work we tackle the problem…

Numerical Analysis · Mathematics 2018-10-26 Antonio Cicone , Haomin Zhou

In graph signal processing, many studies assume that the underlying network is undirected. Although the digraph model is rarely adopted, it is more appropriate for many applications, especially for real world networks. In this paper, we…

General Mathematics · Mathematics 2022-10-11 Fang-Jia Yan , Bing-Zhao Li

To address limitations of the graph fractional Fourier transform (GFRFT) Wiener filtering and the traditional joint time-vertex fractional Fourier transform (JFRFT) Wiener filtering, this study proposes a filtering method based on the…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Ziqi Yan , 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…

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

With the objective of employing graphs toward a more generalized theory of signal processing, we present a novel sampling framework for (wavelet-)sparse signals defined on circulant graphs which extends basic properties of Finite Rate of…

Discrete Mathematics · Computer Science 2017-10-24 Madeleine S. Kotzagiannidis , Pier Luigi Dragotti

A time-frequency diagram is a commonly used visualization for observing the time-frequency distribution of radio signals and analyzing their time-varying patterns of communication states in radio monitoring and management. While it excels…

Signal Processing · Electrical Eng. & Systems 2022-10-03 Ying Zhao , Luhao Ge , Huixuan Xie , Genghuai Bai , Zhao Zhang , Qiang Wei , Yun Lin , Yuchao Liu , Fangfang Zhou

This note reveals an explicit relationship between two representative finite impulse response (FIR) filters, i.e. the newly derived and popularized Kalman-Like unbiased FIR filter (UFIR) and the receding horizon Kalman FIR filter (RHKF). It…

Systems and Control · Computer Science 2015-01-29 Lubin Chang

Recently, it has been observed that finite impulse response controllers are an excellent basis for encrypted control, where privacy-preserving controller evaluations via special cryptosystems are the main focus. Beneficial properties of FIR…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Janis Adamek , Nils Schlüter , Moritz Schulze Darup

The problem of recovering graph signals is one of the main topics in graph signal processing. A representative approach to this problem is the graph Wiener filter, which utilizes the statistical information of the target signal computed…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Koki Yamada

Detecting anomalous edges in dynamic graphs is an important task in many applications over evolving triple-based data, such as social networks, transaction management, and epidemiology. A major challenge with this task is the absence of…

Machine Learning · Computer Science 2025-05-14 Chang Zong , Yueting Zhuang , Jian Shao , Weiming Lu

The use of asynchronous design approaches to construct digital signal processing (DSP) systems is a rapidly growing research area driven by a wide range of emerging energy constrained applications such as wireless sensor network, portable…

Hardware Architecture · Computer Science 2016-03-16 Basel Halak , Hsien-Chih Chiu

Dynamic temporal graphs represent evolving relations between entities, e.g. interactions between social network users or infection spreading. We propose an extension of graph echo state networks for the efficient processing of dynamic…

Machine Learning · Computer Science 2022-10-31 Domenico Tortorella , Alessio Micheli

Iterative filtering methods were introduced around 2010 to improve definitions and measurements of structural features in signal processing. Like many applied techniques, they present considerable challenges for mathematicians to theorize…

Numerical Analysis · Mathematics 2021-03-12 Philippe Barbe , Antonio Cicone , Wing Suet Li , Haomin Zhou

In modern digital filter chip design, efficient resource utilization is a hot topic. Due to the linear phase characteristics of FIR filters, a pulsed fully parallel structure can be applied to address the problem. To further reduce hardware…

Hardware Architecture · Computer Science 2023-11-27 Mengwei Hu , Zhengxiong Li , Xianyang Jiang

Graph signal processing (GSP) leverages the inherent signal structure within graphs to extract high-dimensional data without relying on translation invariance. It has emerged as a crucial tool across multiple fields, including learning and…

General Mathematics · Mathematics 2025-02-21 Yu Zhang , Bing-Zhao Li

Graph filtering is a fundamental tool in graph signal processing. Polynomial graph filters (PGFs), defined as polynomials of a fundamental graph operator, can be implemented in the vertex domain, and usually have a lower complexity than…

Signal Processing · Electrical Eng. & Systems 2022-05-04 Keng-Shih Lu , Antonio Ortega , Debargha Mukherjee , Yue Chen

Our capacity to learn representations from data is related to our ability to design filters that can leverage their coupling with the underlying domain. Graph filters are one such tool for network data and have been used in a myriad of…

Signal Processing · Electrical Eng. & Systems 2022-03-16 Bishwadeep Das , Elvin Isufi

The collaborative filtering (CF) problem with only user-item interaction information can be solved by graph signal processing (GSP), which uses low-pass filters to smooth the observed interaction signals on the similarity graph to obtain…

Information Retrieval · Computer Science 2023-02-07 Jiahao Liu , Dongsheng Li , Hansu Gu , Tun Lu , Peng Zhang , Li Shang , Ning Gu

Multivariate signals, which are measured simultaneously over time and acquired by sensor networks, are becoming increasingly common. The emerging field of graph signal processing (GSP) promises to analyse spectral characteristics of these…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Stephan Goerttler , Fei He , Min Wu

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

Machine Learning · Computer Science 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang
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