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Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

This paper proposes a novel graphical model, termed the spatial dependence graph model, which captures the global dependence structure of different events that occur randomly in space. In the spatial dependence graph model, the edge set is…

Methodology · Statistics 2016-07-26 Matthias Eckardt

Interacting systems are prevalent in nature. It is challenging to accurately predict the dynamics of the system if its constituent components are analyzed independently. We develop a graph-based model that unveils the systemic interactions…

Machine Learning · Computer Science 2024-10-31 Giangiacomo Mercatali , Andre Freitas , Jie Chen

Seizure detection from EEGs is a challenging and time consuming clinical problem that would benefit from the development of automated algorithms. EEGs can be viewed as structural time series, because they are multivariate time series where…

Machine Learning · Computer Science 2019-05-07 Ian Covert , Balu Krishnan , Imad Najm , Jiening Zhan , Matthew Shore , John Hixson , Ming Jack Po

In recent years, the emergence and development of third-party platforms have greatly facilitated the growth of the Online to Offline (O2O) business. However, the large amount of transaction data raises new challenges for retailers,…

Machine Learning · Computer Science 2022-05-24 Xu Chen , Qiu Qiu , Changshan Li , Kunqing Xie

Undirected graphical models are powerful tools for uncovering complex relationships among high-dimensional variables. This paper aims to fully recover the structure of an undirected graphical model when the data naturally take matrix form,…

Methodology · Statistics 2025-08-08 Minsub Shin , Johan Lim , Seongoh Park

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

Physics and Society · Physics 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Despite recent success in using the invariance principle for out-of-distribution (OOD) generalization on Euclidean data (e.g., images), studies on graph data are still limited. Different from images, the complex nature of graphs poses…

Machine Learning · Computer Science 2022-10-12 Yongqiang Chen , Yonggang Zhang , Yatao Bian , Han Yang , Kaili Ma , Binghui Xie , Tongliang Liu , Bo Han , James Cheng

Anomaly detection in high-dimensional time series data is pivotal for numerous industrial applications. Recent advances in multivariate time series anomaly detection (TSAD) have increasingly leveraged graph structures to model…

Machine Learning · Computer Science 2025-09-23 Jiazhen Chen , Mingbin Feng , Tony S. Wirjanto

Modeling inter-dependencies between time-series is the key to achieve high performance in anomaly detection for multivariate time-series data. The de-facto solution to model the dependencies is to feed the data into a recurrent neural…

Machine Learning · Computer Science 2021-08-17 Yuhang Wu , Mengting Gu , Lan Wang , Yusan Lin , Fei Wang , Hao Yang

Accurate temporal segmentation of human actions is critical for intelligent robots in collaborative settings, where a precise understanding of sub-activity labels and their temporal structure is essential. However, the inherent noise in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Hao Xing , Kai Zhe Boey , Yuankai Wu , Darius Burschka , Gordon Cheng

Multivariate time-series anomaly detection is critically important in many applications, including retail, transportation, power grid, and water treatment plants. Existing approaches for this problem mostly employ either statistical models…

Machine Learning · Computer Science 2023-11-17 Yu Zheng , Huan Yee Koh , Ming Jin , Lianhua Chi , Khoa T. Phan , Shirui Pan , Yi-Ping Phoebe Chen , Wei Xiang

Graph-based analyses have gained a lot of relevance in the past years due to their high potential in describing complex systems by detailing the actors involved, their relations and their behaviours. Nevertheless, in scenarios where these…

Machine Learning · Computer Science 2021-06-11 Francesco Zola , Lander Segurola , Jan Lukas Bruse , Mikel Galar Idoate

Learning causal graphs from multivariate time series is a ubiquitous challenge in all application domains dealing with time-dependent systems, such as in Earth sciences, biology, or engineering, to name a few. Recent developments for this…

Methodology · Statistics 2024-07-02 Kevin Debeire , Jakob Runge , Andreas Gerhardus , Veronika Eyring

Multivariate time series in domains such as finance, climate science, and healthcare often exhibit long-term trends, seasonal patterns, and short-term fluctuations, complicating causal inference under non-stationarity and autocorrelation.…

Machine Learning · Computer Science 2026-04-29 Muhammad Hasan Ferdous , Md Osman Gani

Irregular Medical Time Series play a critical role in the clinical domain to better understand the patient's condition. However, inherent irregularity arising from heterogeneous sampling rates, asynchronous observations, and variable gaps…

Machine Learning · Computer Science 2026-04-15 Jian Chen , Yuzhu Hu , Xiaoyan Yuan , Yuxuan Hu , Jinfeng Xu , Yipeng Du , Wenhao Yuan , Wei Wang , Edith C. H. Ngai

Modeling hierarchical latent dynamics behind time series data is critical for capturing temporal dependencies across multiple levels of abstraction in real-world tasks. However, existing temporal causal representation learning methods fail…

Machine Learning · Computer Science 2025-10-22 Zijian Li , Minghao Fu , Junxian Huang , Yifan Shen , Ruichu Cai , Yuewen Sun , Guangyi Chen , Kun Zhang

Multivariate time series classification (MTSC) is an important data mining task, which can be effectively solved by popular deep learning technology. Unfortunately, the existing deep learning-based methods neglect the hidden dependencies in…

Machine Learning · Computer Science 2024-08-19 Huaiyuan Liu , Xianzhang Liu , Donghua Yang , Zhiyu Liang , Hongzhi Wang , Yong Cui , Jun Gu

Multivariate time series is prevalent in many scientific and industrial domains. Modeling multivariate signals is challenging due to their long-range temporal dependencies and intricate interactions--both direct and indirect. To confront…

Machine Learning · Computer Science 2023-12-01 Juhyeon Kim , Hyungeun Lee , Seungwon Yu , Ung Hwang , Wooyul Jung , Miseon Park , Kijung Yoon