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We propose a novel approach for analysing time series using complex network theory. We identify the recurrence matrix calculated from time series with the adjacency matrix of a complex network, and apply measures for the characterisation of…

Chaotic Dynamics · Physics 2009-10-17 N. Marwan , J. F. Donges , Y. Zou , R. V. Donner , J. Kurths

Recent works have established a novel viewpoint that treats the eigenvalue spectra of disordered quantum systems as time-series, and corresponding algorithms such as singular-value-decomposition has proven its advantage in studying subtle…

Disordered Systems and Neural Networks · Physics 2024-02-07 Qiaomu Xue , Wenjia Rao

Co-evolving time series appears in a multitude of applications such as environmental monitoring, financial analysis, and smart transportation. This paper aims to address the following challenges, including (C1) how to incorporate explicit…

Machine Learning · Computer Science 2021-05-17 Baoyu Jing , Hanghang Tong , Yada Zhu

The escalating complexity of network threats and the inherent class imbalance in traffic data present formidable challenges for modern Intrusion Detection Systems (IDS). While Graph Neural Networks (GNNs) excel in modeling topological…

Machine Learning · Computer Science 2026-04-15 Tianxiang Xu , Zhichao Wen , Xinyu Zhao , Qi Hu , Yan Li , Chang Liu

The complex spatial-temporal correlations in transportation networks make the traffic forecasting problem challenging. Since transportation system inherently possesses graph structures, many research efforts have been put with graph neural…

Machine Learning · Computer Science 2024-03-22 Yuyol Shin , Yoonjin Yoon

The movement of atmospheric air masses can be seen as a continuous and complex flow of particles hovering over our planet. It can however be locally simplified by considering three-dimensional trajectories of air masses connecting distant…

Applications · Statistics 2020-07-22 Maria Choufany , Davide Martinetti , Rachid Senoussi , Cindy E. Morris , Samuel Soubeyrand

Graph Neural Networks have gained huge interest in the past few years. These powerful algorithms expanded deep learning models to non-Euclidean space and were able to achieve state of art performance in various applications including…

Machine Learning · Computer Science 2023-02-14 Zahraa Al Sahili , Mariette Awad

Dynamic graphs (DG) are often used to describe evolving interactions between nodes in real-world applications. Temporal patterns are a natural feature of DGs and are also key to representation learning. However, existing dynamic GCN models…

Machine Learning · Computer Science 2024-08-07 Ling Wang , Yixiang Huang , Hao Wu

We propose an end-to-end architecture for multivariate time-series prediction that integrates a spatial-temporal graph neural network with a matrix filtering module. This module generates filtered (inverse) correlation graphs from…

Machine Learning · Computer Science 2022-03-09 Yuanrong Wang , Tomaso Aste

We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

Methodology · Statistics 2020-07-28 Rahi Kalantari , Mingyuan Zhou

Complex networks lend themselves to the modeling of multidimensional data, such as relational and/or temporal data. In particular, when such complex data and their inherent relationships need to be formalized, complex network modeling and…

Machine Learning · Computer Science 2021-05-13 Stefan Bloemheuvel , Jurgen van den Hoogen , Martin Atzmueller

We investigate a generalised version of the recently proposed ordinal partition time series to network transformation algorithm. Firstly we introduce a fixed time lag for the elements of each partition that is selected using techniques from…

Chaotic Dynamics · Physics 2015-05-20 Michael McCullough , Michael Small , Thomas Stemler , Herbert Ho-Ching Iu

Timely accurate traffic forecast is crucial for urban traffic control and guidance. Due to the high nonlinearity and complexity of traffic flow, traditional methods cannot satisfy the requirements of mid-and-long term prediction tasks and…

Machine Learning · Computer Science 2018-07-13 Bing Yu , Haoteng Yin , Zhanxing Zhu

Traffic forecasting is an important application of spatiotemporal series prediction. Among different methods, graph neural networks have achieved so far the most promising results, learning relations between graph nodes then becomes a…

Machine Learning · Computer Science 2024-09-05 Ting Gao , Rodrigo Kappes Marques , Lei Yu

Graph Neural Networks (GNNs) have advanced spatiotemporal forecasting by leveraging relational inductive biases among sensors (or any other measuring scheme) represented as nodes in a graph. However, current methods often rely on Recurrent…

Machine Learning · Computer Science 2024-05-30 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

Spatio-temporal graph signal analysis has a significant impact on a wide range of applications, including hand/body pose action recognition. To achieve effective analysis, spatio-temporal graph convolutional networks (ST-GCN) leverage the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Zida Cheng , Siheng Chen , Ya Zhang

Visibility graph (VG) transformation is a technique used to convert a time series into a graph based on specific visibility criteria. It has attracted increasing interest in the fields of time series analysis, forecasting, and…

Data Structures and Algorithms · Computer Science 2023-11-22 Yusheng Huang , Yong Deng

We introduce the asynchronous graph generator (AGG), a novel graph attention network for imputation and prediction of multi-channel time series. Free from recurrent components or assumptions about temporal/spatial regularity, AGG encodes…

Machine Learning · Computer Science 2025-04-18 Christopher P. Ley , Felipe Tobar

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

Social and Information Networks · Computer Science 2020-06-19 Chengxi Zang , Fei Wang

Air pollution is one of the most concerns for urban areas. Many countries have constructed monitoring stations to hourly collect pollution values. Recently, there is a research in Daegu city, Korea for real-time air quality monitoring via…

Computers and Society · Computer Science 2025-12-09 Van-Duc Le , Tien-Cuong Bui , Sang Kyun Cha