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In the realm of large-scale spatiotemporal data, abrupt changes are commonly occurring across both spatial and temporal domains. This study aims to address the concurrent challenges of detecting change points and identifying spatial…

Methodology · Statistics 2025-05-05 Zerui Zhang , Xin Wang , Xin Zhang , Jing Zhang

In spite of considerable practical importance, current algorithmic fairness literature lacks technical methods to account for underlying geographic dependency while evaluating or mitigating bias issues for spatial data. We initiate the…

Applications · Statistics 2022-01-31 Subhabrata Majumdar , Cheryl Flynn , Ritwik Mitra

Accurate and robust weather forecasting remains a fundamental challenge due to the inherent spatio-temporal complexity of atmospheric systems. In this paper, we propose a novel self-supervised learning framework that leverages…

Machine Learning · Computer Science 2025-11-04 Yao Liu

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

Time-series forecasting has been an important research domain for so many years. Its applications include ECG predictions, sales forecasting, weather conditions, even COVID-19 spread predictions. These applications have motivated many…

Machine Learning · Computer Science 2021-02-15 Shruti Jadon , Jan Kanty Milczek , Ajit Patankar

We study the spatio-temporal prediction problem, which has attracted the attention of many researchers due to its critical real-life applications. In particular, we introduce a novel approach to this problem. Our approach is based on the…

Machine Learning · Statistics 2020-07-07 Oguzhan Karaahmetoglu , Suleyman Serdar Kozat

Statistical learning theory provides the foundation to applied machine learning, and its various successful applications in computer vision, natural language processing and other scientific domains. The theory, however, does not take into…

Machine Learning · Statistics 2021-02-18 Júlio Hoffimann , Maciel Zortea , Breno de Carvalho , Bianca Zadrozny

This paper presents our ongoing work on spatio-temporal models for formal analysis and property-based testing. Our proposed framework aims at reducing the impedance mismatch between formal methods and practitioners. We introduce a set of…

Software Engineering · Computer Science 2016-12-12 Nasser Alzahrani , Maria Spichkova , Jan Olaf Blech

Information Theory provides a fundamental basis for analysis, and for a variety of subsequent methodological approaches, in relation to uncertainty quantification. The transversal character of concepts and derived results justifies its…

Statistics Theory · Mathematics 2024-11-27 Jose M. Angulo , Francisco J. Esquivel , Ana E. Madrid , Francisco J. Alonso

Fitting spatio-temporal models for areal data is crucial in many fields such as cancer epidemiology. However, when data sets are very large, many issues arise. The main objective of this paper is to propose a general procedure to analyze…

Methodology · Statistics 2023-02-06 E. Orozco-Acosta , A. Adin , M. D. Ugarte

Spatiotemporal data consisting of timestamps, GPS coordinates, and IDs occurs in many settings. Modeling approaches for this type of data must address challenges in terms of sensor noise, uneven sampling rates, and non-persistent IDs. In…

Methodology · Statistics 2024-10-10 Pranay Pherwani , Nicholas Hass , Anna K. Yanchenko

With the growing capabilities of Geographic Information Systems (GIS) and user-friendly software, statisticians today routinely encounter geographically referenced data containing observations from a large number of spatial locations and…

Methodology · Statistics 2017-05-23 Sudipto Banerjee

Traffic prediction is a typical spatio-temporal data mining task and has great significance to the public transportation system. Considering the demand for its grand application, we recognize key factors for an ideal spatio-temporal…

Machine Learning · Computer Science 2023-09-26 Zijian Zhang , Ze Huang , Zhiwei Hu , Xiangyu Zhao , Wanyu Wang , Zitao Liu , Junbo Zhang , S. Joe Qin , Hongwei Zhao

This paper considers the creation of parametric surrogate models for applications in science and engineering where the goal is to predict high-dimensional spatiotemporal output quantities of interest, such as pressure, temperature and…

Computational Physics · Physics 2022-03-24 Chi Hoang , Kenny Chowdhary , Kookjin Lee , Jaideep Ray

Machine learning algorithms find frequent application in spatial prediction of biotic and abiotic environmental variables. However, the characteristics of spatial data, especially spatial autocorrelation, are widely ignored. We hypothesize…

Applications · Statistics 2019-12-11 Hanna Meyer , Christoph Reudenbach , Stephan Wöllauer , Thomas Nauss

Flow prediction (e.g., crowd flow, traffic flow) with features of spatial-temporal is increasingly investigated in AI research field. It is very challenging due to the complicated spatial dependencies between different locations and dynamic…

Machine Learning · Computer Science 2019-12-24 Haoxing Lin , Weijia Jia , Yiping Sun , Yongjian You

We consider the general problem of modeling temporal data with long-range dependencies, wherein new observations are fully or partially predictable based on temporally-distant, past observations. A sufficiently powerful temporal model…

Precipitation is a complex physical process that varies in space and time. Predictions and interpolations at unobserved times and/or locations help to solve important problems in many areas. In this paper, we present a hierarchical Bayesian…

Applications · Statistics 2013-01-17 Fabio Sigrist , Hans R. Künsch , Werner A. Stahel

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

The last decade has seen an explosion in data sources available for the monitoring and prediction of environmental phenomena. While several inferential methods have been developed that make predictions on the underlying process by combining…

Methodology · Statistics 2023-03-06 Eun-Hye Yoo , Andrew Zammit-Mangion , Michael G. Chipeta