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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

The past decade has seen a flourishing of advances in harmonic analysis of graphs. They lie at the crossroads of graph theory and such analytical tools as graph Laplacians, Markov processes and associated boundaries, analysis of path-space,…

Dynamical Systems · Mathematics 2020-07-31 Sergey Bezuglyi , Palle E. T. Jorgensen

The growing interests and applications of graph learning in diverse domains have propelled the development of a unified model generalizing well across different graphs and tasks, known as the Graph Foundation Model (GFM). Existing research…

Machine Learning · Computer Science 2025-06-17 Trung-Kien Nguyen , Heng Ping , Shixuan Li , Peiyu Zhang , Nikos Kanakaris , Nicholas Kotov , Paul Bogdan

Graph-based models require aggregating information in the graph from neighbourhoods of different sizes. In particular, when the data exhibit varying levels of smoothness on the graph, a multi-scale approach is required to capture the…

Machine Learning · Computer Science 2022-02-22 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

The paper summarises the contributions in a session at GCM 2019 presenting and discussing the use of native and translation-based solutions to common analysis problems for Graph Transformation Systems (GTSs). In addition to a comparison of…

Software Engineering · Computer Science 2019-12-23 Reiko Heckel , Leen Lambers , Maryam Ghaffari Saadat

An enormous amount of real-world data exists in the form of graphs. Oftentimes, interesting patterns that describe the complex dynamics of these graphs are captured in the form of frequently reoccurring substructures. Recent work at the…

Social and Information Networks · Computer Science 2023-01-06 Justus Hibshman , Satyaki Sikdar , Tim Weninger

Heterogeneous graphs have multiple node and edge types and are semantically richer than homogeneous graphs. To learn such complex semantics, many graph neural network approaches for heterogeneous graphs use metapaths to capture multi-hop…

Machine Learning · Computer Science 2022-07-26 See Hian Lee , Feng Ji , Wee Peng Tay

We introduce Attention Graphs, a new tool for mechanistic interpretability of Graph Neural Networks (GNNs) and Graph Transformers based on the mathematical equivalence between message passing in GNNs and the self-attention mechanism in…

Machine Learning · Computer Science 2025-02-26 Batu El , Deepro Choudhury , Pietro Liò , Chaitanya K. Joshi

Graph Transformers (GTs) have shown advantages in numerous graph structure tasks but their self-attention mechanism ignores the generalization bias of graphs, with existing methods mainly compensating for this bias from aspects like…

Machine Learning · Computer Science 2025-04-29 Yonghui Zhai , Yang Zhang , Minghao Shang , Lihua Pang , Yaxin Ren

Multimodal Sentiment Analysis (MSA) is a rapidly developing field that integrates multimodal information to recognize sentiments, and existing models have made significant progress in this area. The central challenge in MSA is multimodal…

Computation and Language · Computer Science 2025-08-25 Yijie Jin , Junjie Peng , Xuanchao Lin , Haochen Yuan , Lan Wang , Cangzhi Zheng

With the advancements in technology and monitoring tools, we often encounter multivariate graph signals, which can be seen as the realizations of multivariate graph processes, and revealing the relationship between their constituent…

Methodology · Statistics 2024-08-13 Kyusoon Kim , Hee-Seok Oh

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…

Signal Processing · Electrical Eng. & Systems 2019-11-11 Luana Ruiz , Luiz F. O. Chamon , Alejandro Ribeiro

Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph…

Data Structures and Algorithms · Computer Science 2017-06-07 Bastien Pasdeloup , Vincent Gripon , Grégoire Mercier , Dominique Pastor , Michael G. Rabbat

Low-complexity improved-throughput generalised spatial modulation (LCIT-GSM) is proposed. More explicitly, in GSM, extra information bits are conveyed implicitly by activating a fixed number $N_{a}$ out of $N_{t}$ transmit antennas (TAs) at…

Information Theory · Computer Science 2021-07-28 Jiancheng An , Chao Xu , Yusha Liu , Lu Gan , Lajos Hanzo

Graph signal processing (GSP) is an important methodology for studying data residing on irregular structures. As acquired data is increasingly taking the form of multi-way tensors, new signal processing tools are needed to maximally utilize…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Jay S. Stanley , Eric C. Chi , Gal Mishne

Graph inference plays an essential role in machine learning, pattern recognition, and classification. Signal processing based approaches in literature generally assume some variational property of the observed data on the graph. We make a…

Information Theory · Computer Science 2020-08-24 B. Subbareddy , Aditya Siripuram , Jingxin Zhang

The scaled graph has been introduced recently as a nonlinear extension of the classical Nyquist plot for linear time-invariant systems. In this paper, we introduce a modified definition for the scaled graph, termed the signed scaled graph…

Systems and Control · Electrical Eng. & Systems 2025-05-02 Sebastiaan van den Eijnden , Chao Chen , Koen Scheres , Thomas Chaffey , Alexander Lanzon

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Linbo Shang , Zhichao Zhang

Transformer-based models have improved predictive modeling on longitudinal electronic health records through large-scale self-supervised pretraining. However, most EHR transformer architectures treat each clinical encounter as an unordered…

Machine Learning · Computer Science 2026-03-17 Krish Tadigotla

Single-cell spatial transcriptomics (ST) offers a unique approach to measuring gene expression profiles and spatial cell locations simultaneously. However, most existing ST methods assume that cells in closer spatial proximity exhibit more…

Genomics · Quantitative Biology 2025-06-10 Xiongtao Xiao , Xiaofeng Chen , Feiyan Jiang , Songming Zhang , Wenming Cao , Cheng Tan , Zhangyang Gao , Zhongshan Li