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Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. In this paper, we will introduce a carefully documented toolbox for performing generalized…

Mathematical Software · Computer Science 2016-11-24 Robert Dahl Jacobsen , Morten Nielsen , Morten Grud Rasmussen

We provide complete source code for a front-end GUI and its back-end counterpart for a stock market visualization tool. It is built based on the "functional visualization" concept we discuss, whereby functionality is not sacrificed for…

Portfolio Management · Quantitative Finance 2018-04-03 Zura Kakushadze , Willie Yu

In the field of graph signal processing (GSP), directed graphs present a particular challenge for the "standard approaches" of GSP to due to their asymmetric nature. The presence of negative- or complex-weight directed edges, a graphical…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Kevin Schultz , Marisel Villafane-Delgado

Classical Graph Signal Processing (GSP) provides a robust framework for analyzing signals on irregular domains, utilizing the graph Fourier transform as a cornerstone for spectral analysis and filtering. However, as data structures grow in…

Classical Analysis and ODEs · Mathematics 2026-03-02 Antonio Caputo

This proposal presents a graph computing framework intending to support both online and offline computing on large dynamic graphs efficiently. The framework proposes a new data model to support rich evolving vertex and edge data types. It…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-08 Zhao Yu Dong

Forecasting time series on graphs is a fundamental problem in graph signal processing. When each entity of the network carries a vector of values for each time stamp instead of a scalar one, existing approaches resort to the use of product…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Jelmer van der Hoeven , Alberto Natali , Geert Leus

Graph Neural Networks (GNNs) have become an effective tool for malware detection by capturing program execution through graph-structured representations. However, important challenges remain regarding scalability, interpretability, and the…

Cryptography and Security · Computer Science 2025-11-27 Hossein Shokouhinejad , Griffin Higgins , Roozbeh Razavi-Far , Ali A. Ghorbani

Planning is an essential topic in the realm of automated driving. Besides planning algorithms that are widely covered in the literature, planning requires different software tools for its development, validation, and execution. This paper…

Robotics · Computer Science 2021-11-25 Kailin Tong , Zlatan Ajanovic , Georg Stettinger

Graph neural networks (GNN) have shown outstanding applications in many fields where data is fundamentally represented as graphs (e.g., chemistry, biology, recommendation systems). In this vein, communication networks comprise many…

Graph Neural Networks (GNNs) are powerful models that can manage complex data sources and their interconnection links. One of GNNs' main drawbacks is their lack of interpretability, which limits their application in sensitive fields. In…

Machine Learning · Computer Science 2026-03-24 Salvatore Calderaro , Domenico Amato , Giosuè Lo Bosco , Riccardo Rizzo , Filippo Vella

Graph pooling is a crucial operation for encoding hierarchical structures within graphs. Most existing graph pooling approaches formulate the problem as a node clustering task which effectively captures the graph topology. Conventional…

Artificial Intelligence · Computer Science 2023-10-12 Sung Moon Ko , Sungjun Cho , Dae-Woong Jeong , Sehui Han , Moontae Lee , Honglak Lee

Graph Neural Networks (GNNs) have emerged as a powerful tool for learning from graph-structured data. However, even state-of-the-art architectures have limitations on what structures they can distinguish, imposing theoretical limits on what…

Machine Learning · Computer Science 2023-07-03 Eren Akbiyik , Florian Grötschla , Beni Egressy , Roger Wattenhofer

This paper explores the application diffusion maps as graph shift operators in understanding the underlying geometry of graph signals. The study evaluates the improvements in graph learning when using diffusion map generated filters to the…

Machine Learning · Computer Science 2023-12-25 Todd Hildebrant

We propose GraphMineSuite (GMS): the first benchmarking suite for graph mining that facilitates evaluating and constructing high-performance graph mining algorithms. First, GMS comes with a benchmark specification based on extensive…

The concept of a random process has been recently extended to graph signals, whereby random graph processes are a class of multivariate stochastic processes whose coefficients are matrices with a \textit{graph-topological} structure. The…

Signal Processing · Electrical Eng. & Systems 2020-03-13 Thiernithi Variddhisai , Danilo Mandic

Graph neural networks (GNNs) are emerging for machine learning research on graph-structured data. GNNs achieve state-of-the-art performance on many tasks, but they face scalability challenges when it comes to real-world applications that…

Machine Learning · Computer Science 2026-04-02 Shichang Zhang , Atefeh Sohrabizadeh , Cheng Wan , Zijie Huang , Ziniu Hu , Yewen Wang , Yingyan , Lin , Jason Cong , Yizhou Sun

Graphs are widely used to describe real-world objects and their interactions. Graph Neural Networks (GNNs) as a de facto model for analyzing graphstructured data, are highly sensitive to the quality of the given graph structures. Therefore,…

Machine Learning · Computer Science 2022-02-16 Yanqiao Zhu , Weizhi Xu , Jinghao Zhang , Yuanqi Du , Jieyu Zhang , Qiang Liu , Carl Yang , Shu Wu

Integrated Gradients (IG) is a common explainability technique to address the black-box problem of neural networks. Integrated gradients assumes continuous data. Graphs are discrete structures making IG ill-suited to graphs. In this work,…

Machine Learning · Computer Science 2025-09-10 Lachlan Simpson , Kyle Millar , Adriel Cheng , Cheng-Chew Lim , Hong Gunn Chew

This tutorial review provides a guiding reference to researchers who want to have an overview of the large body of literature about graph spanners. It reviews the current literature covering various research streams about graph spanners,…

In this paper, we introduce GraphLake, a purpose-built graph compute engine for Lakehouse. GraphLake is built on top of the commercial graph database TigerGraph. It maps Lakehouse tables to vertex and edge types in a labeled property graph…

Databases · Computer Science 2026-03-05 Shige Liu , Songting Chen , Chengjie Qin , Mingxi Wu , Jianguo Wang