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We show that the problem of identifying different signal components from a time-frequency representation can be equivalently phrased as a graph clustering problem: given a graph $G=(V,E)$ one aims to identify `clusters', subgraphs that are…

Signal Processing · Electrical Eng. & Systems 2025-10-10 Marcelo A. Colominas , Stefan Steinerberger , Hau-Tieng Wu

Graph neural networks have received increased attention over the past years due to their promising ability to handle graph-structured data, which can be found in many real-world problems such as recommended systems and drug synthesis. Most…

Machine Learning · Computer Science 2023-01-27 Xiangyu Wang , Xueming Yan , Yaochu Jin

We investigate graph representation learning approaches that enable models to generalize across graphs: given a model trained using the representations from one graph, our goal is to apply inference using those same model parameters when…

Machine Learning · Computer Science 2023-02-20 Anton Amirov , Chris Quirk , Jennifer Neville

Network topology inference is a prominent problem in Network Science. Most graph signal processing (GSP) efforts to date assume that the underlying network is known, and then analyze how the graph's algebraic and spectral characteristics…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Gonzalo Mateos , Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro

While a common assumption in graph signal analysis is the smoothness of the signals or the band-limitedness of their spectrum, in many instances the spectrum of real graph data may be concentrated at multiple regions of the spectrum,…

Machine Learning · Statistics 2025-02-20 Osman Furkan Kar , Gülce Turhan , Elif Vural

In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two new numerical procedures, that apply to the general case and…

Optimization and Control · Mathematics 2019-10-21 Luca Consolini , Mattia Laurini , Marco Locatelli

This paper focuses on devising graph signal processing tools for the treatment of data defined on the edges of a graph. We first show that conventional tools from graph signal processing may not be suitable for the analysis of such signals.…

Discrete Mathematics · Computer Science 2019-04-05 Michael T. Schaub , Santiago Segarra

With the advent of the big data, graph are processed in an iterative manner, which incrementally described in the form of graph in big data applications. Most currently, graph processing methods treat the underlying map data as black boxes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Beibei Si

Graph deep learning methods have become popular tools to process collections of correlated time series. Unlike traditional multivariate forecasting methods, graph-based predictors leverage pairwise relationships by conditioning forecasts on…

Machine Learning · Computer Science 2025-06-09 Andrea Cini , Ivan Marisca , Daniele Zambon , Cesare Alippi

In many applications, from sensor to social networks, gene regulatory networks or big data, observations can be represented as a signal defined over the vertices of a graph. Building on the recently introduced Graph Fourier Transform, the…

Information Theory · Computer Science 2015-12-03 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

\emph{Uncertain Graph} (also known as \emph{Probabilistic Graph}) is a generic model to represent many real\mbox{-}world networks from social to biological. In recent times analysis and mining of uncertain graphs have drawn significant…

Databases · Computer Science 2021-06-16 Suman Banerjee

To analyze data supported by arbitrary graphs G, DSP has been extended to Graph Signal Processing (GSP) by redefining traditional DSP concepts like shift, filtering, and Fourier transform among others. This paper revisits modulation,…

Signal Processing · Electrical Eng. & Systems 2019-12-17 John Shi , Jose M. F. Moura

Graph workloads pose a particularly challenging problem for query optimizers. They typically feature large queries made up of entirely many-to-many joins with complex correlations. This puts significant stress on traditional cardinality…

Databases · Computer Science 2025-05-01 Kyle Deeds , Diandre Sabale , Moe Kayali , Dan Suciu

The underlying theme of this paper is to explore the various facets of power systems data through the lens of graph signal processing (GSP), laying down the foundations of the Grid-GSP framework. Grid-GSP provides an interpretation for the…

Signal Processing · Electrical Eng. & Systems 2021-06-09 Raksha Ramakrishna , Anna Scaglione

We propose a new framework for the recognition of online handwritten graphics. Three main features of the framework are its ability to treat symbol and structural level information in an integrated way, its flexibility with respect to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Frank Julca-Aguilar , Harold Mouchère , Christian Viard-Gaudin , Nina S. T. Hirata

Risk classification plays an important role in many regulations and standards. However, a general method that provides an optimal classification has not been proposed yet. Also, the criteria of optimality are not defined in these…

Discrete Mathematics · Computer Science 2020-12-29 Daniel Zentai

The exploration of Graph Neural Networks (GNNs) for processing graph-structured data has expanded, particularly their potential for causal analysis due to their universal approximation capabilities. Anticipated to significantly enhance…

Machine Learning · Computer Science 2024-01-30 Simi Job , Xiaohui Tao , Taotao Cai , Lin Li , Haoran Xie , Jianming Yong

We propose a new approach for defining and searching clusters in graphs that represent real technological or transaction networks. In contrast to the standard way of finding dense parts of a graph, we concentrate on the structure of edges…

Combinatorics · Mathematics 2021-03-16 András London , Ryan R. Martin , András Pluhár

Recommender system is one of the most important information services on today's Internet. Recently, graph neural networks have become the new state-of-the-art approach to recommender systems. In this survey, we conduct a comprehensive…

Information Retrieval · Computer Science 2023-01-13 Chen Gao , Yu Zheng , Nian Li , Yinfeng Li , Yingrong Qin , Jinghua Piao , Yuhan Quan , Jianxin Chang , Depeng Jin , Xiangnan He , Yong Li

Numerous signals in relevant signal processing applications can be modeled as a sum of complex exponentials. Each exponential term entails a particular property of the modeled physical system, and it is possible to define families of…

Signal Processing · Electrical Eng. & Systems 2021-11-10 Magdalena Bouza , Andres Altieri , Cecilia G. Galarza