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Industrial processes generate vast amounts of time series data, yet extracting meaningful relationships and insights remains challenging. This paper introduces a framework for automated knowledge graph learning from time series data,…

Machine Learning · Computer Science 2024-07-03 Lolitta Ammann , Jorge Martinez-Gil , Michael Mayr , Georgios C. Chasparis

Identifying causality behind complex systems plays a significant role in different domains, such as decision making, policy implementations, and management recommendations. However, existing causality studies on temporal event sequences…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Sujia Zhu , Yue Shen , Zihao Zhu , Wang Xia , Baofeng Chang , Ronghua Liang , Guodao Sun

The Hawkes process (HP) is commonly used to model event sequences with self-reinforcing dynamics, including electronic health records (EHRs). Traditional HPs capture self-reinforcement via parametric impact functions that can be inspected…

Machine Learning · Statistics 2025-10-23 Yuankang Zhao , Matthew Engelhard

Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is…

Applications · Statistics 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

Many event sequence data exhibit mutually exciting or inhibiting patterns. Reliable detection of such temporal dependency is crucial for scientific investigation. The de facto model is the Multivariate Hawkes Process (MHP), whose impact…

Applications · Statistics 2023-05-31 Yu Chen , Fengpei Li , Anderson Schneider , Yuriy Nevmyvaka , Asohan Amarasingham , Henry Lam

Foundational marked temporal point process (MTPP) models, such as the Hawkes process, often use inexpressive model families in order to offer interpretable parameterizations of event data. On the other hand, neural MTPPs models forego this…

Machine Learning · Statistics 2025-11-04 Alex Boyd , Andrew Warrington , Taha Kass-Hout , Parminder Bhatia , Danica Xiao

Self-exciting processes of Hawkes type have been used to model various phenomena including earthquakes, neural activities, and views of online videos. Studies of temporal networks have revealed that sequences of social interevent times for…

Physics and Society · Physics 2015-06-05 Naoki Masuda , Taro Takaguchi , Nobuo Sato , Kazuo Yano

Multivariate Hawkes processes (MHPs) are versatile probabilistic tools used to model various real-life phenomena: earthquakes, operations on stock markets, neuronal activity, virus propagation and many others. In this paper, we focus on…

Machine Learning · Computer Science 2024-04-12 Katerina Hlavackova-Schindler , Anna Melnykova , Irene Tubikanec

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

Hawkes processes are point process models that have been used to capture self-excitatory behavior in social interactions, neural activity, earthquakes and viral epidemics. They can model the occurrence of the times and locations of events.…

Machine Learning · Statistics 2022-10-24 Xenia Miscouridou , Samir Bhatt , George Mohler , Seth Flaxman , Swapnil Mishra

Asynchronous event sequence clustering aims to group similar event sequences in an unsupervised manner. Mixture models of temporal point processes have been proposed to solve this problem, but they often suffer from overfitting, leading to…

Machine Learning · Computer Science 2024-11-08 Yiwei Dong , Shaoxin Ye , Yuwen Cao , Qiyu Han , Hongteng Xu , Hanfang Yang

The multivariate Hawkes process is a past-dependent point process used to model the relationship of event occurrences between different phenomena.Although the Hawkes process was originally introduced to describe excitation effects, which…

Methodology · Statistics 2023-06-30 Anna Bonnet , Miguel Martinez Herrera , Maxime Sangnier

With the advancement of deep learning technologies, various neural network-based Granger causality models have been proposed. Although these models have demonstrated notable improvements, several limitations remain. Most existing approaches…

Machine Learning · Computer Science 2025-10-28 Meiliang Liu , Huiwen Dong , Xiaoxiao Yang , Yunfang Xu , Zijin Li , Zhengye Si , Xinyue Yang , Zhiwen Zhao

Imitation learning, which learns agent policy by mimicking expert demonstration, has shown promising results in many applications such as medical treatment regimes and self-driving vehicles. However, it remains a difficult task to interpret…

Machine Learning · Computer Science 2024-01-31 Tianxiang Zhao , Wenchao Yu , Suhang Wang , Lu Wang , Xiang Zhang , Yuncong Chen , Yanchi Liu , Wei Cheng , Haifeng Chen

Learning the influence structure of multiple time series data is of great interest to many disciplines. This paper studies the problem of recovering the causal structure in network of multivariate linear Hawkes processes. In such processes,…

Machine Learning · Computer Science 2016-03-15 Jalal Etesami , Negar Kiyavash , Kun Zhang , Kushagra Singhal

Physiological signal analysis often involves identifying events crucial to understanding biological dynamics. Traditional methods rely on handcrafted procedures or supervised learning, presenting challenges such as expert dependence, lack…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Guillaume Staerman , Virginie Loison , Thomas Moreau

Discovering shapelets -- i.e., discriminative temporal patterns within time series -- has been widely studied to address the inherent complexity of time-series classification (TSC) and to make model decision-making processes more…

Machine Learning · Computer Science 2026-05-20 Seongjun Lee , Seokhyun Lee , Changhee Lee

Causal analysis and classification of injury severity applying non-parametric methods for traffic crashes has received limited attention. This study presents a methodological framework for causal inference, using Granger causality analysis,…

Machine Learning · Computer Science 2021-12-08 Meghna Chakraborty , Timothy Gates , Subhrajit Sinha

Self- and mutually-exciting point processes are popular models in machine learning and statistics for dependent discrete event data. To date, most existing models assume stationary kernels (including the classical Hawkes processes) and…

Machine Learning · Computer Science 2022-02-15 Shixiang Zhu , Haoyun Wang , Zheng Dong , Xiuyuan Cheng , Yao Xie

Discovering complex causal dependencies in temporal point processes (TPPs) is critical for modeling real-world event sequences. Existing methods typically rely on static or first-order causal structures, overlooking the multi-order and…

Machine Learning · Computer Science 2025-08-27 Yunyang Cao , Juekai Lin , Wenhao Li , Bo Jin