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Spatially distributed problems are often approximately modelled in terms of partial differential equations (PDEs) for appropriate coarse-grained quantities (e.g. concentrations). The derivation of accurate such PDEs starting from finer…

Quantitative Methods · Quantitative Biology 2009-11-13 Liang Qiao , Radek Erban , C. T. Kelley , Ioannis G. Kevrekidis

Accurate real time crime prediction is a fundamental issue for public safety, but remains a challenging problem for the scientific community. Crime occurrences depend on many complex factors. Compared to many predictable events, crime is…

Numerical Analysis · Mathematics 2017-07-12 Bao Wang , Duo Zhang , Duanhao Zhang , P. Jeffery Brantingham , Andrea L. Bertozzi

Accuracy and timeliness are indeed often conflicting goals in prediction tasks. Premature predictions may yield a higher rate of false alarms, whereas delaying predictions to gather more information can render them too late to be useful. In…

Machine Learning · Computer Science 2024-06-19 Wei Shao , Yufan Kang , Ziyan Peng , Xiao Xiao , Lei Wang , Yuhui Yang , Flora D Salim

We study the problem of traffic forecasting, aiming to predict the inflow and outflow of a region in the subsequent time slot. The problem is complex due to the intricate spatial and temporal interdependence among regions. Prior works study…

Artificial Intelligence · Computer Science 2025-11-12 Zheng Chenghong , Zongyin Deng , Liu Cheng , Xiong Simin , Di Deshi , Li Guanyao

Deep learning has shown impressive results in a variety of time series forecasting tasks, where modeling the conditional distribution of the future given the past is the essence. However, when this conditional distribution is…

Machine Learning · Computer Science 2024-02-27 Siqi Liu , Andreas Lehrmann

Probabilistic forecasting of high dimensional multivariate time series is a notoriously challenging task, both in terms of computational burden and distribution modeling. Most previous work either makes simple distribution assumptions or…

Machine Learning · Computer Science 2021-01-27 Nam Nguyen , Brian Quanz

This paper presents a kriging method for spatial prediction of temporal intensity functions, for situations where a temporal point process is observed at different spatial locations. Assuming that several replications of the processes are…

Methodology · Statistics 2021-07-02 Daniel Gervini

We address the problem of unsupervised semantic segmentation of outdoor LiDAR point clouds in diverse traffic scenarios. The key idea is to leverage the spatiotemporal nature of a dynamic point cloud sequence and introduce drastically…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Xiao Li , Pan He , Aotian Wu , Sanjay Ranka , Anand Rangarajan

The execution time of programs is a key element in many areas of computer science, mainly those where achieving good performance (e.g., scheduling in cloud computing) or a predictable one (e.g., meeting deadlines in embedded systems) is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-13 Matheus Henrique Junqueira Saldanha

Temporal Point Processes (TPPs) serve as the standard mathematical framework for modeling asynchronous event sequences in continuous time. However, classical TPP models are often constrained by strong assumptions, limiting their ability to…

Machine Learning · Computer Science 2023-07-11 Tanguy Bosser , Souhaib Ben Taieb

We study the problem of predicting the future, though only in the probabilistic sense of estimating a future state of a time-varying probability distribution. This is not only an interesting academic problem, but solving this extrapolation…

Machine Learning · Statistics 2014-11-21 Christoph H. Lampert

We introduce a scalable approach to Gaussian process inference that combines spatio-temporal filtering with natural gradient variational inference, resulting in a non-conjugate GP method for multivariate data that scales linearly with…

Machine Learning · Computer Science 2021-11-03 Oliver Hamelijnck , William J. Wilkinson , Niki A. Loppi , Arno Solin , Theodoros Damoulas

Temporal Point Processes (TPPs) are often used to represent the sequence of events ordered as per the time of occurrence. Owing to their flexible nature, TPPs have been used to model different scenarios and have shown applicability in…

Machine Learning · Computer Science 2021-07-19 Shivshankar Reddy , Anand Vir Singh Chauhan , Maneet Singh , Karamjit Singh

Automated real-time prediction of the ergonomic risks of manipulating objects is a key unsolved challenge in developing effective human-robot collaboration systems for logistics and manufacturing applications. We present a foundational…

Principled decision making in emergency response management necessitates the use of statistical models that predict the spatial-temporal likelihood of incident occurrence. These statistical models are then used for proactive stationing…

Machine Learning · Computer Science 2021-06-16 Sayyed Mohsen Vazirizade , Ayan Mukhopadhyay , Geoffrey Pettet , Said El Said , Hiba Baroud , Abhishek Dubey

Spatio-temporal prediction is a pivotal task with broad applications in traffic management, climate monitoring, energy scheduling, etc. However, existing methodologies often struggle to balance model expressiveness and computational…

Machine Learning · Computer Science 2025-05-27 Jiawen Chen , Qi Shao , Duxin Chen , Wenwu Yu

Various and ubiquitous information systems are being used in monitoring, exchanging, and collecting information. These systems are generating massive amount of event sequence logs that may help us understand underlying phenomenon. By…

Machine Learning · Statistics 2018-07-13 Yihuang Kang , Vladimir Zadorozhny

Modeling and predicting solar events, particularly the solar ramping event, is critical for improving situational awareness for solar power generation systems. It has been acknowledged that weather conditions such as temperature, humidity,…

Applications · Statistics 2022-06-20 Minghe Zhang , Chen Xu , Andy Sun , Feng Qiu , Yao Xie

Traffic accident anticipation aims to predict accidents from dashcam videos as early as possible, which is critical to safety-guaranteed self-driving systems. With cluttered traffic scenes and limited visual cues, it is of great challenge…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Wentao Bao , Qi Yu , Yu Kong

The increased demand for online prediction and the growing availability of large data sets drives the need for computationally efficient models. While exact Gaussian process regression shows various favorable theoretical properties…

Machine Learning · Computer Science 2021-08-02 Armin Lederer , Alejandro Jose Ordonez Conejo , Korbinian Maier , Wenxin Xiao , Jonas Umlauft , Sandra Hirche