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This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

Applications · Statistics 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

A physical data (such as astrophysical, geophysical, meteorological etc.) may appear as an output of an experiment or it may come out as a signal from a dynamical system or it may contain some sociological, economic or biological…

Astrophysics · Physics 2007-05-23 Koushik Ghosh , Probhas Raychaudhuri

Transformers have achieved superior performances in many tasks in natural language processing and computer vision, which also triggered great interest in the time series community. Among multiple advantages of Transformers, the ability to…

Machine Learning · Computer Science 2023-05-15 Qingsong Wen , Tian Zhou , Chaoli Zhang , Weiqi Chen , Ziqing Ma , Junchi Yan , Liang Sun

Visualizing multiple time series presents fundamental tradeoffs between scalability and visual clarity. Time series capture the behavior of many large-scale real-world processes, from stock market trends to urban activities. Users often…

Over the last few years, with the growth of time-series collecting and storing, there has been a great demand for tools and software for temporal data engineering and modeling. This paper presents a generic workflow for time series data…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Pejman Farhadi Ghalati , Andreas Schuppert

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

Moving Object Databases will have significant role in Geospatial Information Systems as they allow users to model continuous movements of entities in the databases and perform spatio-temporal analysis. For representing and querying moving…

Databases · Computer Science 2014-03-14 Hadi Hajari , Farshad Hakimpour

Temporal domain generalization is a promising yet extremely challenging area where the goal is to learn models under temporally changing data distributions and generalize to unseen data distributions following the trends of the change. The…

Machine Learning · Computer Science 2023-02-13 Guangji Bai , Chen Ling , Liang Zhao

The goal of data-driven learning of dynamical systems is to interpret time series as a continuous observation of an underlying dynamical system. This task is not well-posed for a variety of reasons - such as multiple co-existing…

Dynamical Systems · Mathematics 2026-01-21 Suddhasattwa Das , Tomoharu Suda

Current research in time-series anomaly detection is using definitions that miss critical aspects of how anomaly detection is commonly used in practice. We list several areas that are of practical relevance and that we believe are either…

Machine Learning · Computer Science 2025-02-11 Andreas Mueller

Time-series data augmentation mitigates the issue of insufficient training data for deep learning models. Yet, existing augmentation methods are mainly designed for classification, where class labels can be preserved even if augmentation…

Machine Learning · Computer Science 2023-03-28 Xiyuan Zhang , Ranak Roy Chowdhury , Jingbo Shang , Rajesh Gupta , Dezhi Hong

Recent advancements in Earth system science have been marked by the exponential increase in the availability of diverse, multivariate datasets characterised by moderate to high spatio-temporal resolutions. Earth System Data Cubes (ESDCs)…

This paper generalises dynamic factor models for multidimensional dependent data. In doing so, it develops an interpretable technique to study complex information sources ranging from repeated surveys with a varying number of respondents to…

Econometrics · Economics 2023-01-31 Matteo Barigozzi , Filippo Pellegrino

Generative modeling of time series is a central challenge in time series analysis, particularly under data-scarce conditions. Despite recent advances in generative modeling, a comprehensive understanding of how state-of-the-art generative…

Machine Learning · Computer Science 2025-05-28 Tal Gonen , Itai Pemper , Ilan Naiman , Nimrod Berman , Omri Azencot

Diffusion models, initially developed for image synthesis, demonstrate remarkable generative capabilities. Recently, their application has expanded to time series forecasting (TSF), yielding promising results. Existing surveys on time…

Machine Learning · Statistics 2025-09-03 Chen Su , Zhengzhou Cai , Yuanhe Tian , Zhuochao Chang , Zihong Zheng , Yan Song

Time series and signals are attracting more attention across statistics, machine learning and pattern recognition as it appears widely in the industry especially in sensor and IoT related research and applications, but few advances has been…

Machine Learning · Computer Science 2018-08-15 Lu Liu , Zhiguang Wang

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

Machine Learning · Computer Science 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

Accurate forecasts are vital for supporting the decisions of modern companies. Forecasters typically select the most appropriate statistical model for each time series. However, statistical models usually presume some data generation…

As metabolomics datasets are becoming larger and more complex, there is an increasing need for model-based data integration and analysis to optimally leverage these data. Dynamical models of metabolism allow for the integration of…

Quantitative Methods · Quantitative Biology 2023-11-29 Polina Lakrisenko , Daniel Weindl

Temporal conceptual data modelling, as an extension to regular conceptual data modelling languages such as EER and UML class diagrams, has received intermittent attention across the decades. It is receiving renewed interest in the context…

Databases · Computer Science 2024-08-20 Sonia Berman , C. Maria Keet , Tamindran Shunmugam