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Neural Stochastic Differential Equations (NSDEs) model the drift and diffusion functions of a stochastic process as neural networks. While NSDEs are known to make accurate predictions, their uncertainty quantification properties have been…

Machine Learning · Computer Science 2022-09-13 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Traffic flow forecasting is a fundamental research issue for transportation planning and management, which serves as a canonical and typical example of spatial-temporal predictions. In recent years, Graph Neural Networks (GNNs) and…

Machine Learning · Computer Science 2024-02-27 Qingqing Long , Zheng Fang , Chen Fang , Chong Chen , Pengfei Wang , Yuanchun Zhou

Thermal comfort is essential for well-being in urban spaces, especially as cities face increasing heat from urbanization and climate change. Existing thermal comfort models usually overlook temporal dynamics alongside spatial dependencies.…

Applications · Statistics 2024-11-19 Federico P. Cortese , Antonio Pievatolo

Despite progress in deep learning for shared micromobility demand prediction, the systematic design and statistical validation of temporal input structures remain underexplored. Temporal features are often selected heuristically, even…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Mohammad Sahnoon , Merkebe Getachew Demissie , Roberto Souza

Predictive queries over spatiotemporal (ST) stream data pose significant data processing and analysis challenges. ST data streams involve a set of time series whose data distributions may vary in space and time, exhibiting multiple distinct…

Machine Learning · Statistics 2024-10-03 Anderson Chaves , Eduardo Ogasawara , Patrick Valduriez , Fabio Porto

In this paper, we investigate the significance of choosing an appropriate tessellation strategy for a spatio-temporal taxi demand-supply modeling framework. Our study compares (i) the variable-sized polygon based Voronoi tessellation, and…

Machine Learning · Computer Science 2018-12-11 Neema Davis , Gaurav Raina , Krishna Jagannathan

In the era of information explosion, spatio-temporal data mining serves as a critical part of urban management. Considering the various fields demanding attention, e.g., traffic state, human activity, and social event, predicting multiple…

Artificial Intelligence · Computer Science 2023-09-19 Zijian Zhang , Xiangyu Zhao , Qidong Liu , Chunxu Zhang , Qian Ma , Wanyu Wang , Hongwei Zhao , Yiqi Wang , Zitao Liu

Spatio-Temporal (ST) data science, which includes sensing, managing, and mining large-scale data across space and time, is fundamental to understanding complex systems in domains such as urban computing, climate science, and intelligent…

Databases · Computer Science 2025-03-19 Yuxuan Liang , Haomin Wen , Yutong Xia , Ming Jin , Bin Yang , Flora Salim , Qingsong Wen , Shirui Pan , Gao Cong

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

Computation · Statistics 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

Spatio-temporal forecasting is essential for understanding future dynamics within real-world systems by leveraging historical data from multiple locations. Existing methods often prioritize the development of intricate neural networks to…

Machine Learning · Computer Science 2025-07-08 Weilin Ruan , Wei Chen , Xilin Dang , Jianxiang Zhou , Weichuang Li , Xu Liu , Yuxuan Liang

This study develops an online predictive optimization framework for dynamically operating a transit service in an area of crowd movements. The proposed framework integrates demand prediction and supply optimization to periodically redesign…

Machine Learning · Statistics 2020-02-25 Inon Peled , Kelvin Lee , Yu Jiang , Justin Dauwels , Francisco C. Pereira

Urban anomaly predictions, such as traffic accident prediction and crime prediction, are of vital importance to smart city security and maintenance. Existing methods typically use deep learning to capture the intra-dependencies in spatial…

Machine Learning · Computer Science 2023-04-05 Yao Lu , Pengyuan Zhou , Yong Liao , Haiyong Xie

Predicting spatio-temporal traffic flow presents significant challenges due to complex interactions between spatial and temporal factors. Existing approaches often address these dimensions in isolation, neglecting their critical…

Artificial Intelligence · Computer Science 2024-11-15 Weilin Ruan , Wenzhuo Wang , Siru Zhong , Wei Chen , Li Liu , Yuxuan Liang

In this paper we present the theoretical framework needed to justify the use of a kernel-based collocation method (meshfree approximation method) to estimate the solution of high-dimensional stochastic partial differential equations…

Numerical Analysis · Mathematics 2012-09-11 Igor Cialenco , Gregory E. Fasshauer , Qi Ye

Traffic flow forecasting is considered a critical task in the field of intelligent transportation systems. In this paper, to address the issue of low accuracy in long-term forecasting of spatial-temporal big data on traffic flow, we propose…

Machine Learning · Computer Science 2024-07-17 Baichao Long , Wang Zhu , Jianli Xiao

Spatial-temporal forecasting plays an important role in many real-world applications, such as traffic forecasting, air pollutant forecasting, crowd-flow forecasting, and so on. State-of-the-art spatial-temporal forecasting models take…

Machine Learning · Computer Science 2024-01-22 Xinyu Su , Jianzhong Qi , Egemen Tanin , Yanchuan Chang , Majid Sarvi

Accurately predicting the demand for ride-hailing services can result in significant benefits such as more effective surge pricing strategies, improved driver positioning, and enhanced customer service. By understanding the demand…

Machine Learning · Computer Science 2023-06-27 Sheraz Hassan , Muhammad Tahir , Momin Uppal , Zubair Khalid , Ivan Gorban , Selim Turki

Identifying coherent spatiotemporal patterns generated by complex dynamical systems is a central problem in many science and engineering disciplines. Here, we combine ideas from the theory of operator-valued kernels with delay-embedding…

Data Analysis, Statistics and Probability · Physics 2018-05-24 Dimitrios Giannakis , Joanna Slawinska , Abbas Ourmazd , Zhizhen Zhao

Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

Kulldorff's (1997) seminal paper on spatial scan statistics (SSS) has led to many methods considering different regions of interest, different statistical models, and different approximations while also having numerous applications in…

Machine Learning · Statistics 2019-08-13 Mingxuan Han , Michael Matheny , Jeff M. Phillips
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