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Many modern spatio-temporal data sets, in sociology, epidemiology or seismology, for example, exhibit self-exciting characteristics, triggering and clustering behaviors both at the same time, that a suitable Hawkes space-time process can…

Machine Learning · Statistics 2024-06-18 Emilia Siviero , Guillaume Staerman , Stephan Clémençon , Thomas Moreau

With the growing use of AI technology, many police departments use forecasting software to predict probable crime hotspots and allocate patrolling resources effectively for crime prevention. The clustered nature of crime data makes…

Machine Learning · Computer Science 2025-02-12 Pramit Das , Moulinath Banerjee , Yuekai Sun

Current evaluation methods for autonomous driving prediction models rely heavily on simplistic metrics such as Average Displacement Error (ADE) and Final Displacement Error (FDE). While these metrics offer basic performance assessments,…

Robotics · Computer Science 2025-10-14 Feifei Liu , Haozhe Wang , Zejun Wei , Qirong Lu , Yiyang Wen , Xiaoyu Tang , Jingyan Jiang , Zhijian He

Accurate spatiotemporal pattern analysis is critical in fields such as urban traffic, meteorology, and public health monitoring. However, existing methods face performance bottlenecks, typically yielding only incremental gains and often…

Machine Learning · Computer Science 2026-05-20 Jing Chen , Shixiang Pan , Yujie Fan , Haocheng Ye , Haitao Xu , Wenqiang Xu

Spatio-temporal forecasting is an open research field whose interest is growing exponentially. In this work we focus on creating a complex deep neural framework for spatio-temporal traffic forecasting with comparatively very good…

Machine Learning · Computer Science 2020-10-22 Rodrigo de Medrano , José L. Aznarte

In spatial statistics and machine learning, the kernel matrix plays a pivotal role in prediction, classification, and maximum likelihood estimation. A thorough examination reveals that for large sample sizes, the kernel matrix becomes…

Machine Learning · Statistics 2023-11-07 Hao Zhang

We develop a Bayesian modeling framework to address a pressing real-life problem faced by the police in tackling insurgent gangs. Unlike criminals associated with common crimes such as robbery, theft or street crime, insurgent gangs are…

Applications · Statistics 2024-01-03 Karthik Sriram , Dhruv Gupta , Rajiv Parikh

Discharge of hazardous substances into the marine environment poses a substantial risk to both public health and the ecosystem. In such incidents, it is imperative to accurately estimate the release strength of the source and reconstruct…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Yang Liu , Christopher M. Harvey , Frederick E. Hamlyn , Cunjia Liu

Probabilistic modeling of multidimensional spatiotemporal data is critical to many real-world applications. As real-world spatiotemporal data often exhibits complex dependencies that are nonstationary and nonseparable, developing effective…

Machine Learning · Statistics 2023-06-01 Mengying Lei , Aurelie Labbe , Lijun Sun

Conditional density estimation is a general framework for solving various problems in machine learning. Among existing methods, non-parametric and/or kernel-based methods are often difficult to use on large datasets, while methods based on…

Machine Learning · Statistics 2018-06-06 Hiroaki Sasaki , Aapo Hyvärinen

The development of edge computing places critical demands on energy-efficient model deployment for multiple-input multiple-output (MIMO) detection tasks. Deploying deep unfolding models such as PGD-Nets and ADMM-Nets into…

Machine Learning · Computer Science 2025-05-20 Zeyi Ren , Jingreng Lei , Yichen Jin , Ermo Hua , Qingfeng Lin , Chen Zhang , Bowen Zhou , Yik-Chung Wu

Hot-spot-based policing programs aim to deter crime through increased proactive patrols at high-crime locations. While most hot spot programs target easily identified chronic hot spots, we introduce models for predicting temporary hot spots…

Applications · Statistics 2020-11-13 Dylan J. Fitzpatrick , Wilpen L. Gorr , Daniel B. Neill

Moving Object Detection (MOD) is a crucial task for the Autonomous Driving pipeline. MOD is usually handled via 2-stream convolutional architectures that incorporates both appearance and motion cues, without considering the inter-relations…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Eslam Mohamed , Ahmad El-Sallab

Building on the successes of local kernel methods for approximating the solutions to partial differential equations (PDE) and the evaluation of definite integrals (quadrature/cubature), a local estimate of the error in such approximations…

Numerical Analysis · Mathematics 2023-08-30 Jonah A. Reeger

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

Business Process Simulation (BPS) is a critical tool for analyzing and improving organizational processes by estimating the impact of process changes. A key component of BPS is the case-arrival model, which determines the pattern of new…

Machine Learning · Computer Science 2025-05-29 Lukas Kirchdorfer , Konrad Özdemir , Stjepan Kusenic , Han van der Aa , Heiner Stuckenschmidt

We present xokde++, a state-of-the-art online kernel density estimation approach that maintains Gaussian mixture models input data streams. The approach follows state-of-the-art work on online density estimation, but was redesigned with…

Machine Learning · Computer Science 2016-06-10 Jaime Ferreira , David Martins de Matos , Ricardo Ribeiro

Violence detection in public surveillance is critical for public safety. This study addresses challenges such as small-scale targets, complex environments, and real-time temporal analysis. We propose Vi-SAFE, a spatial-temporal framework…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Ligang Chang , Shengkai Xu , Liangchang Shen , Binhan Xu , Junqiao Wang , Tianyu Shi , Yanhui Du

In this article, we introduce a novel type of spatio-temporal sequential patterns called Constricted Spatio-Temporal Sequential (CSTS) patterns and thoroughly analyze their properties. We demonstrate that the set of CSTS patterns is a…

Machine Learning · Computer Science 2021-12-06 Piotr S. Maciąg , Robert Bembenik , Artur Dubrawski

Crime forecasting is a critical component of urban analysis and essential for stabilizing society today. Unlike other time series forecasting problems, crime incidents are sparse, particularly in small regions and within specific time…

Machine Learning · Computer Science 2024-08-09 Zepu Wang , Xiaobo Ma , Huajie Yang , Weimin Lvu , Peng Sun , Sharath Chandra Guntuku