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Differential equations based on physical principals are used to represent complex dynamic systems in all fields of science and engineering. Through repeated use in both academics and industry, these equations have been shown to represent…

Methodology · Statistics 2022-09-08 Joshua S. North , Christopher K. Wikle , Erin M. Schliep

In time series analysis, traditional bootstrapping methods often fall short due to their assumption of data independence, a condition rarely met in time-dependent data. This paper introduces tsbootstrap, a python package designed…

Applications · Statistics 2024-04-24 Sankalp Gilda , Benedikt Heidrich , Franz Kiraly

Behavioral studies using personal digital devices typically produce rich longitudinal datasets of mixed data types. These data provide information about the behavior of users of these devices in real-time and in the users' natural…

Human-Computer Interaction · Computer Science 2022-12-06 A. Ikäheimonen , A. M. Triana , N. Luong , A. Ziaei , J. Rantaharju , R. Darst , T. Aledavood

Temporal data is information measured in the context of time. This contextual structure provides components that need to be explored to understand the data and that can form the basis of interactions applied to the plots. In multivariate…

Computation · Statistics 2014-12-23 Xiaoyue Cheng , Dianne Cook , Heike Hofmann

Clustering of longitudinal data is used to explore common trends among subjects over time for a numeric measurement of interest. Various R packages have been introduced throughout the years for identifying clusters of longitudinal patterns,…

Machine Learning · Computer Science 2024-02-23 Niek Den Teuling , Steffen Pauws , Edwin van den Heuvel

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Longitudinal (panel) data provide the opportunity to examine temporal patterns of individuals, because measurements are collected on the same person at different, and often irregular, time points. The data is typically visualised using a…

Applications · Statistics 2020-12-04 Nicholas J Tierney , Dianne Cook , Tania Prvan

In real world, the huge amount of temporal data is to be processed in many application areas such as scientific, financial, network monitoring, sensor data analysis. Data mining techniques are primarily oriented to handle discrete features.…

Databases · Computer Science 2014-02-19 P. Chaudhari , D. P. Rana , R. G. Mehta , N. J. Mistry , M. M. Raghuwanshi

Mining temporal data for information is often inhibited by a multitude of formats: irregular or multiple time intervals, point events that need aggregating, multiple observational units or repeated measurements on multiple individuals, and…

Applications · Statistics 2019-02-14 Earo Wang , Dianne Cook , Rob J Hyndman

Thousands of documents are made available to the users via the web on a daily basis. One of the most extensively studied problems in the context of such document streams is burst identification. Given a term t, a burst is generally…

Databases · Computer Science 2012-05-31 Theodoros Lappas , Marcos R. Vieira , Dimitrios Gunopulos , Vassilis J. Tsotras

Wearable devices are increasingly used as tools for biomedical research, as the continuous stream of behavioral and physiological data they collect can provide insights about our health in everyday contexts. Long-term tracking, defined in…

Human-Computer Interaction · Computer Science 2024-08-01 Paula Lago

In biostatistics and medical research, longitudinal data are often composed of repeated assessments of a variable (e.g., blood pressure or other biomarkers) and dichotomous indicators to mark an event of interest (e.g., recovery from…

Applications · Statistics 2019-09-13 Sezen Cekic , Stephen Aichele , Andreas M. Brandmaier , Ylva Köhncke , Paolo Ghisletta

Extensions in the field of joint modeling of correlated data and dynamic predictions improve the development of prognosis research. The R package frailtypack provides estimations of various joint models for longitudinal data and survival…

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

Laboratory scientists are well equipped with statistical tools for univariate data, yet many phenomena of scientific interest are time-variant or otherwise multidimensional. Functional data analysis is one way of approaching such data: by…

Computation · Statistics 2023-02-28 Julian Lehrer , Mircea Teodorescu , Yohei Rosen

In complex systems, events occur at irregular intervals that inherently encode the underlying dynamics of the system. Analyzing the temporal clustering of these events reveals critical insights into the non-random patterns and the temporal…

Data Analysis, Statistics and Probability · Physics 2026-03-20 Ambedkar Sanket Sukdeo , K. Shri Vignesh , Sachin S. Gunthe , T Narayan Rao , Amit Kumar Patra , R. I. Sujith

The last decades have not only been characterized by an explosive growth of data, but also an increasing appreciation of data as a valuable resource. Their value comes with the ability to extract meaningful patterns that are of economic,…

Machine Learning · Statistics 2020-02-27 Jonas I. Liechti , Sebastian Bonhoeffer

Temporal Point Processes (TPP) play an important role in predicting or forecasting events. Although these problems have been studied extensively, predicting multiple simultaneously occurring events can be challenging. For instance, more…

Machine Learning · Computer Science 2023-10-02 Parag Dutta , Kawin Mayilvaghanan , Pratyaksha Sinha , Ambedkar Dukkipati

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

Large observational clinical datasets become increasingly available for mining associations between various disease traits and administered therapy. These datasets can be considered as representations of the landscape of all possible…