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Among the proposals for joint disease mapping, the shared component model has become more popular. Another recent advance to strengthen inference of disease data has been the extension of purely spatial models to include time and space-time…

Applications · Statistics 2020-05-04 Behzad Mahaki , Yadollah Mehrabi , Amir Kavousi , Volker J Schmid

Functional magnetic resonance imaging (fMRI) data contain complex spatiotemporal dynamics, thus researchers have developed approaches that reduce the dimensionality of the signal while extracting relevant and interpretable dynamics. Models…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Eloy Geenjaar , Amrit Kashyap , Noah Lewis , Robyn Miller , Vince Calhoun

Audio-based music structure analysis (MSA) is an essential task in Music Information Retrieval that remains challenging due to the complexity and variability of musical form. Recent advances highlight the potential of fine-tuning…

Sound · Computer Science 2025-07-21 Yixiao Zhang , Haonan Chen , Ju-Chiang Wang , Jitong Chen

Fitting statistical models to spatiotemporal data requires finding the right balance between imposing smoothness and following the data. In the context of p-splines, we propose a Bayesian framework for choosing the smoothing parameter which…

Applications · Statistics 2013-10-30 A. W. Bowman , L. Evers , D. Molinari , W. R. Jones , M. J. Spence

Symmetric positive definite (SPD) matrix has been demonstrated to be an effective feature descriptor in many scientific areas, as it can encode spatiotemporal statistics of the data adequately on a curved Riemannian manifold, i.e., SPD…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Rui Wang , Xiao-Jun Wu , Hui Li , Josef Kittler

Thank you very much for the attention and concern of colleagues and scholars in this work. With the comments and guidance of experts, editors, and reviewers, this work has been accepted for publishing in the journal "Process Safety and…

Machine Learning · Computer Science 2023-10-06 Hao Ren , Xiaojun Liang , Chunhua Yang , Zhiwen Chen , Weihua Gui

Remote sensing (RS) images are important to monitor and survey earth at varying spatial scales. Continuous observations from various RS sources complement single observations to improve applications. Fusion into single or multiple images…

Image and Video Processing · Electrical Eng. & Systems 2024-04-30 Hessah Albanwan

Rate-splitting multiple access (RSMA) has emerged as a promising technique for efficient interference management in next-generation wireless networks. While most existing studies focus on downlink and single-cell designs, the modeling and…

Information Theory · Computer Science 2025-12-25 Xinyi Guo , Li You , Qiong Liu , Xiqi Gao , Xiang-Gen Xia

Spatio-Temporal Multivariate time series Forecast (STMF) uses the time series of $n$ spatially distributed variables in a period of recent past to forecast their values in a period of near future. It has important applications in…

Machine Learning · Computer Science 2025-10-29 Zibo Liu , Zhe Jiang , Zelin Xu , Tingsong Xiao , Yupu Zhang , Zhengkun Xiao , Haibo Wang , Shigang Chen

Influenced mixed moving average fields are a versatile modeling class for spatio-temporal data. However, their predictive distribution is not generally known. Under this modeling assumption, we define a novel spatio-temporal embedding and a…

Machine Learning · Statistics 2024-08-05 Imma Valentina Curato , Orkun Furat , Lorenzo Proietti , Bennet Stroeh

Many data sources report related variables of interest that are also referenced over geographic regions and time; however, there are relatively few general statistical methods that one can readily use that incorporate these multivariate…

Methodology · Statistics 2016-02-01 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

We develop a statistical framework for conducting inference on collections of time-varying covariance operators (covariance flows) over a general, possibly infinite dimensional, Hilbert space. We model the intrinsically non-linear structure…

Methodology · Statistics 2024-06-25 Leonardo V. Santoro , Victor M. Panaretos

Current deep learning reconstruction for accelerated cardiac cine MRI suffers from spatial and temporal blurring. We aim to improve image sharpness and motion delineation for cine MRI under high undersampling rates. A spatiotemporal…

Image and Video Processing · Electrical Eng. & Systems 2024-03-14 Shihan Qiu , Shaoyan Pan , Yikang Liu , Lin Zhao , Jian Xu , Qi Liu , Terrence Chen , Eric Z. Chen , Xiao Chen , Shanhui Sun

We provide square-root n consistency results regarding estimation of the spectral representation of covariance operators of Hilbertian time series, in a setting with imperfect measurements. This is a generalization of the method developed…

Statistics Theory · Mathematics 2016-04-12 Eduardo Horta , Flavio Ziegelmann

We introduce a new class of autoregressive models for spherical time series, where the dimension of the spheres on which the observations of the time series are situated may be finite-dimensional or infinite-dimensional as in the case of a…

Methodology · Statistics 2022-03-25 Changbo Zhu , Hans-Georg Müller

The prevalence of multivariate space-time data collected from monitoring networks and satellites, or generated from numerical models, has brought much attention to multivariate spatio-temporal statistical models, where the covariance…

Methodology · Statistics 2023-03-14 Huang Huang , Ying Sun , Marc G. Genton

In this work, we propose to apply the recently developed Koopman operator techniques to explore the global phase space of a nonlinear system from time-series data. In particular, we address the problem of identifying various invariant…

Dynamical Systems · Mathematics 2019-10-09 Sai Pushpak Nandanoori , Subhrajit Sinha , Enoch Yeung

Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

There are three equivalent ways of representing two jointly observed real-valued signals: as a bivariate vector signal, as a single complex-valued signal, or as two analytic signals known as the rotary components. Each representation has…

Methodology · Statistics 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Jeffrey J. Early

Diffusion models have been widely used in time series and spatio-temporal data, enhancing generative, inferential, and downstream capabilities. These models are applied across diverse fields such as healthcare, recommendation, climate,…

Machine Learning · Computer Science 2025-12-09 Yiyuan Yang , Ming Jin , Haomin Wen , Chaoli Zhang , Yuxuan Liang , Lintao Ma , Yi Wang , Chenghao Liu , Bin Yang , Zenglin Xu , Shirui Pan , Qingsong Wen