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Multivariate time series are routinely encountered in real-world applications, and in many cases, these time series are strongly correlated. In this paper, we present a deep learning structural time series model which can (i) handle…

Machine Learning · Statistics 2020-01-03 Changwei Hu , Yifan Hu , Sungyong Seo

To understand the origin of bursty dynamics in natural and social processes we provide a general analysis framework, in which the temporal process is decomposed into sub-processes and then the bursts in sub-processes, called contextual…

Physics and Society · Physics 2013-06-21 Hang-Hyun Jo , Raj Kumar Pan , Juan I. Perotti , Kimmo Kaski

Learning the dynamics of spatiotemporal events is a fundamental problem. Neural point processes enhance the expressivity of point process models with deep neural networks. However, most existing methods only consider temporal dynamics…

Machine Learning · Computer Science 2024-12-10 Zihao Zhou , Xingyi Yang , Ryan Rossi , Handong Zhao , Rose Yu

A temporal point process is a stochastic process that predicts which type of events is likely to happen and when the event will occur given a history of a sequence of events. There are various examples of occurrence dynamics in the daily…

Machine Learning · Computer Science 2022-02-23 Deokjun Eom , Sehyun Lee , Jaesik Choi

Human social interactions tend to vary in intensity over time, whether they are in person or online. Variable rates of interaction in structured populations can be described by networks with the time-varying activity of links and nodes. One…

Physics and Society · Physics 2023-04-17 Anzhi Sheng , Qi Su , Aming Li , Long Wang , Joshua B. Plotkin

Longitudinal omics data (LOD) analysis is essential for understanding the dynamics of biological processes and disease progression over time. This review explores various statistical and computational approaches for analyzing such data,…

Methodology · Statistics 2025-06-16 Ali R. Taheriyoun , Allen Ross , Abolfazl Safikhani , Damoon Soudbakhsh , Ali Rahnavard

We develop methods, based on extreme value theory, for analysing observations in the tails of longitudinal data, i.e., a data set consisting of a large number of short time series, which are typically irregularly and non-simultaneously…

Methodology · Statistics 2025-04-10 Jess Spearing , Jonathan Tawn , David Irons , Tim Paulden

This study integrates causal inference, graph analysis, temporal complexity measures, and machine learning to examine whether individual symptom trajectories can reveal meaningful diagnostic patterns. Testing on a longitudinal dataset of…

Applications · Statistics 2025-07-22 Eleonora Vitanza , Pietro DeLellis , Chiara Mocenni , Manuel Ruiz Marin

Intensive longitudinal studies are becoming progressively more prevalent across many social science areas, especially in psychology. New technologies like smart-phones, fitness trackers, and the Internet of Things make it much easier than…

Methodology · Statistics 2019-06-17 Yunxiao Chen , Siliang Zhang

The dynamic mode decomposition (DMD) is a simple and powerful data-driven modeling technique that is capable of revealing coherent spatiotemporal patterns from data. The method's linear algebra-based formulation additionally allows for a…

Temporal point processes (TPPs) are crucial for analyzing events over time and are widely used in fields such as finance, healthcare, and social systems. These processes are particularly valuable for understanding how events unfold over…

Artificial Intelligence · Computer Science 2026-01-06 Lili Chen , Wensheng Gan , Shuang Liang , Philip S. Yu

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

Theoretical studies have shown that stochasticity can affect the dynamics of ecosystems in counter-intuitive ways. However, without knowing the equations governing the dynamics of populations or ecosystems, it is difficult to ascertain the…

Quantitative Methods · Quantitative Biology 2024-09-24 Arshed Nabeel , Ashwin Karichannavar , Shuaib Palathingal , Jitesh Jhawar , David B. Brückner , Danny Raj M. , Vishwesha Guttal

Since Lorenz's seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite of that, there remains a need for accessible, efficient,…

Intensive longitudinal biomarker data are increasingly common in scientific studies that seek temporally granular understanding of the role of behavioral and physiological factors in relation to outcomes of interest. Intensive longitudinal…

Methodology · Statistics 2024-01-17 Mingyan Yu , Zhenke Wu , Margaret Hicken , Michael R. Elliott

Temporal Point Processes (TPPs) are widely used for modeling event sequences in various medical domains, such as disease onset prediction, progression analysis, and clinical decision support. Although TPPs effectively capture temporal…

Machine Learning · Computer Science 2025-10-20 Yunyang Cao , Juekai Lin , Hongye Wang , Wenhao Li , Bo Jin

Process mining is a discipline which concerns the analysis of execution data of operational processes, the extraction of models from event data, the measurement of the conformance between event data and normative models, and the enhancement…

Data Structures and Algorithms · Computer Science 2022-04-09 Marco Pegoraro , Merih Seran Uysal , Wil M. P. van der Aalst

The multivariate Bayesian structural time series (MBSTS) model is a general machine learning model that deals with inference and prediction for multiple correlated time series, where one also has the choice of using a different candidate…

Methodology · Statistics 2023-02-07 Ning Ning , Jinwen Qiu

Robust causal discovery in time series datasets depends on reliable benchmark datasets with known ground-truth causal relationships. However, such datasets remain scarce, and existing synthetic alternatives often overlook critical temporal…

Machine Learning · Computer Science 2025-06-03 Muhammad Hasan Ferdous , Emam Hossain , Md Osman Gani

Analyzing time-series cross-sectional (also known as longitudinal or panel) data is an important process across a number of fields, including the social sciences, economics, finance, and medicine. PanelMatch is an R package that implements…

Methodology · Statistics 2025-08-19 Adam Rauh , In Song Kim , Kosuke Imai