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Related papers: State Space Models on Temporal Graphs: A First-Pri…

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In the realm of applications where data dynamically evolves across spatial and temporal dimensions, Graph Neural Networks (GNNs) are often complemented by sequence modeling architectures, such as RNNs and transformers, to effectively model…

Machine Learning · Computer Science 2024-09-02 Osama Ahmad , Omer Abdul Jalil , Usman Nazir , Murtaza Taj

Many complex real-world systems exhibit inherently intertwined temporal and spatial characteristics. Spatio-temporal knowledge graphs (STKGs) have therefore emerged as a powerful representation paradigm, as they integrate entities,…

Social and Information Networks · Computer Science 2025-12-19 Philipp Plamper , Hanna Köpcke , Anika Groß

State-space models (SSMs) are a powerful statistical tool for modelling time-varying systems via a latent state. In these models, the latent state is never directly observed. Instead, a sequence of observations related to the state is…

Computation · Statistics 2025-03-25 Benjamin Cox , Emilie Chouzenoux , Victor Elvira

State-space models (SSM) are central to describe time-varying complex systems in countless signal processing applications such as remote sensing, networks, biomedicine, and finance to name a few. Inference and prediction in SSMs are…

Computation · Statistics 2022-10-26 Víctor Elvira , Émilie Chouzenoux

The identification and modeling of time-varying systems is a fundamental challenge in signal processing and system identification. To address this challenge, we propose a class of time-varying state-space model (SSM) based neural networks…

Machine Learning · Computer Science 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

In recent years, there has been a growing interest in integrating linear state-space models (SSM) in deep neural network architectures of foundation models. This is exemplified by the recent success of Mamba, showing better performance than…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Carmen Amo Alonso , Jerome Sieber , Melanie N. Zeilinger

Temporal graph neural networks (TGNNs) have been widely used for modeling time-evolving graph-related tasks due to their ability to capture both graph topology dependency and non-linear temporal dynamic. The explanation of TGNNs is of vital…

Machine Learning · Computer Science 2022-09-05 Wenchong He , Minh N. Vu , Zhe Jiang , My T. Thai

Dynamic graph representation learning has emerged as a crucial research area, driven by the growing need for analyzing time-evolving graph data in real-world applications. While recent approaches leveraging recurrent neural networks (RNNs)…

Machine Learning · Computer Science 2024-10-28 Shengxiang Hu , Guobing Zou , Song Yang , Shiyi Lin , Yanglan Gan , Bofeng Zhang

Accurate fMRI analysis requires sensitivity to temporal structure across multiple scales, as BOLD signals encode cognitive processes that emerge from fast transient dynamics to slower, large-scale fluctuations. Existing deep learning (DL)…

Signal Processing · Electrical Eng. & Systems 2026-01-06 Furkan Genç , Boran İsmet Macun , Sait Sarper Özaslan , Emine U. Saritas , Tolga Çukur

State space models (SSMs) have shown remarkable empirical performance on many long sequence modeling tasks, but a theoretical understanding of these models is still lacking. In this work, we study the learning dynamics of linear SSMs to…

Machine Learning · Computer Science 2024-07-11 Jakub Smékal , Jimmy T. H. Smith , Michael Kleinman , Dan Biderman , Scott W. Linderman

Space-time graph neural networks (ST-GNNs) are recently developed architectures that learn efficient graph representations of time-varying data. ST-GNNs are particularly useful in multi-agent systems, due to their stability properties and…

Machine Learning · Computer Science 2022-10-31 Samar Hadou , Charilaos Kanatsoulis , Alejandro Ribeiro

Representation learning over graph structure data has been widely studied due to its wide application prospects. However, previous methods mainly focus on static graphs while many real-world graphs evolve over time. Modeling such evolution…

Machine Learning · Statistics 2020-09-02 Tijin Yan , Hongwei Zhang , Zirui Li , Yuanqing Xia

Temporal networks are suitable for modeling complex evolving systems. It has a wide range of applications, such as social network analysis, recommender systems, and epidemiology. Recently, modeling such dynamic systems has drawn great…

Social and Information Networks · Computer Science 2022-11-15 Jiayun Wu , Tao Jia , Yansong Wang , Li Tao

State Space Models (SSMs) are powerful tools for modeling sequential data in computer vision and time series analysis domains. However, traditional SSMs are limited by fixed, one-dimensional sequential processing, which restricts their…

Machine Learning · Computer Science 2025-04-08 Nikola Zubić , Davide Scaramuzza

Over the past two decades, there has been a tremendous increase in the growth of representation learning methods for graphs, with numerous applications across various fields, including bioinformatics, chemistry, and the social sciences.…

Machine Learning · Computer Science 2023-12-21 Abdulkadir Celikkanat , Nikolaos Nakis , Morten Mørup

Graph Neural Networks (GNNs) have demonstrated remarkable success in modeling complex relationships in graph-structured data. A recent innovation in this field is the family of Differential Equation-Inspired Graph Neural Networks (DE-GNNs),…

Machine Learning · Computer Science 2024-01-23 Moshe Eliasof , Eldad Haber , Eran Treister , Carola-Bibiane Schönlieb

A major tenet in theoretical neuroscience is that cognitive and behavioral processes are ultimately implemented in terms of the neural system dynamics. Accordingly, a major aim for the analysis of neurophysiological measurements should lie…

Machine Learning · Computer Science 2020-07-01 Georgia Koppe , Hazem Toutounji , Peter Kirsch , Stefanie Lis , Daniel Durstewitz

Spatiotemporal graph represents a crucial data structure where the nodes and edges are embedded in a geometric space and can evolve dynamically over time. Nowadays, spatiotemporal graph data is becoming increasingly popular and important,…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Hengning Cao , Yanfang Ye , Liang Zhao

Graph neural networks (GNNs) model nonlinear representations in graph data with applications in distributed agent coordination, control, and planning among others. Current GNN architectures assume ideal scenarios and ignore link…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Spatiotemporal modeling has evolved beyond simple time series analysis to become fundamental in structural time series analysis. While current research extensively employs graph neural networks (GNNs) for spatial feature extraction with…

Machine Learning · Computer Science 2026-04-20 Zhaobo Hu , Vincent Gauthier , Mehdi Naima