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In multivariate time series systems, it has been observed that certain groups of variables partially lead the evolution of the system, while other variables follow this evolution with a time delay; the result is a lead-lag structure amongst…

Machine Learning · Statistics 2022-01-21 Stefanos Bennett , Mihai Cucuringu , Gesine Reinert

Estimating causal relations is vital in understanding the complex interactions in multivariate time series. Non-linear coupling of variables is one of the major challenges inaccurate estimation of cause-effect relations. In this paper, we…

Machine Learning · Computer Science 2021-10-19 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

Multi-horizon time series forecasting has many practical applications such as demand forecasting. Accurate demand prediction is critical to help make buying and inventory decisions for supply chain management of e-commerce and physical…

In recent years, the application of transformer-based models in time-series forecasting has received significant attention. While often demonstrating promising results, the transformer architecture encounters challenges in fully exploiting…

Machine Learning · Computer Science 2025-02-12 Artyom Stitsyuk , Jaesik Choi

The information contained in a time series is more than what the values themselves are. In this paper, the Time-variant Local Autocorrelated Polynomial model with Kalman filter is proposed to model the underlying dynamics of a time series…

Applications · Statistics 2021-02-16 Shixiong Wang , Chongshou Li , Andrew Lim

New biological assays like Perturb-seq link highly parallel CRISPR interventions to a high-dimensional transcriptomic readout, providing insight into gene regulatory networks. Causal gene regulatory networks can be represented by directed…

Machine Learning · Statistics 2024-02-22 Albert Xue , Jingyou Rao , Sriram Sankararaman , Harold Pimentel

Spatio-temporal forecasting of future values of spatially correlated time series is important across many cyber-physical systems (CPS). Recent studies offer evidence that the use of graph neural networks to capture latent correlations…

Machine Learning · Computer Science 2023-12-29 Minbo Ma , Jilin Hu , Christian S. Jensen , Fei Teng , Peng Han , Zhiqiang Xu , Tianrui Li

This paper considers inference of causal structure in a class of graphical models called "conditional DAGs". These are directed acyclic graph (DAG) models with two kinds of variables, primary and secondary. The secondary variables are used…

Methodology · Statistics 2014-11-12 Chris J. Oates , Jim Q. Smith , Sach Mukherjee

Efficient scheduling of directed acyclic graphs (DAGs) in heterogeneous environments is challenging due to resource capacities and dependencies. In practice, the need for adaptability across environments with varying resource pools and task…

Machine Learning · Computer Science 2026-03-25 Ruisong Zhou , Haijun Zou , Li Zhou , Chumin Sun , Zaiwen Wen

Given the growing number of available tools for modeling dynamic networks, the choice of a suitable model becomes central. The goal of this survey is to provide an overview of tie-oriented dynamic network models. The survey is focused on…

Social and Information Networks · Computer Science 2022-01-05 Cornelius Fritz , Michael Lebacher , Göran Kauermann

We develop a novel convolutional architecture tailored for learning from data defined over directed acyclic graphs (DAGs). DAGs can be used to model causal relationships among variables, but their nilpotent adjacency matrices pose unique…

Machine Learning · Computer Science 2024-05-07 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

Dynamic link prediction is an important problem considered in many recent works that propose approaches for learning temporal edge patterns. To assess their efficacy, models are evaluated on continuous-time and discrete-time temporal graph…

Machine Learning · Computer Science 2026-02-06 Moritz Lampert , Christopher Blöcker , Ingo Scholtes

Correlation matrices contain a wide variety of spatio-temporal information about a dynamical system. Predicting correlation matrices from partial time series information of a few nodes characterizes the spatio-temporal dynamics of the…

Machine Learning · Computer Science 2023-03-14 Nikhil Easaw , Woo Seok Lee , Prashant Singh Lohiya , Sarika Jalan , Priodyuti Pradhan

Predicting traffic conditions is tremendously challenging since every road is highly dependent on each other, both spatially and temporally. Recently, to capture this spatial and temporal dependency, specially designed architectures such as…

Machine Learning · Computer Science 2022-09-13 Daejin Kim , Youngin Cho , Dongmin Kim , Cheonbok Park , Jaegul Choo

To ensure the safety of railroad operations, it is important to monitor and forecast track geometry irregularities. A higher safety requires forecasting with higher spatiotemporal frequencies, which in turn requires capturing spatial…

Machine Learning · Computer Science 2023-02-24 Katsuya Kosukegawa , Yasukuni Mori , Hiroki Suyari , Kazuhiko Kawamoto

Conventional static knowledge graphs model entities in relational data as nodes, connected by edges of specific relation types. However, information and knowledge evolve continuously, and temporal dynamics emerge, which are expected to…

Machine Learning · Computer Science 2022-03-10 Yushan Liu , Yunpu Ma , Marcel Hildebrandt , Mitchell Joblin , Volker Tresp

Advanced Persistent Threat (APT) have grown increasingly complex and concealed, posing formidable challenges to existing Intrusion Detection Systems in identifying and mitigating these attacks. Recent studies have incorporated graph…

Cryptography and Security · Computer Science 2025-09-18 Wenhan Jiang , Tingting Chai , Hongri Liu , Kai Wang , Hongke Zhang

Directed Acyclic Graphs (DAGs) provide a powerful framework to model causal relationships among variables in multivariate settings; in addition, through the do-calculus theory, they allow for the identification and estimation of causal…

Machine Learning · Statistics 2022-01-31 Federico Castelletti , Alessandro Mascaro

There has been active investigation into deep learning approaches for time series analysis, including foundation models. However, most studies do not address significant scientific applications. This paper aims to identify key features in…

Machine Learning · Computer Science 2025-09-22 Junyang He , Ying-Jung Chen , Alireza Jafari , Anushka Idamekorala , Geoffrey Fox

Unsupervised anomaly detection in time series is essential in industrial applications, as it significantly reduces the need for manual intervention. Multivariate time series pose a complex challenge due to their feature and temporal…

Machine Learning · Computer Science 2024-08-26 Zhe Liu , Xiang Huang , Jingyun Zhang , Zhifeng Hao , Li Sun , Hao Peng