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The Mat\'ern covariance model is ubiquitous in spatial modelling, but there is no default choice for spatio-temporal modelling. In this paper, we consider the recently proposed ``diffusion-based'' extension of the spatial Mat\'ern…

Methodology · Statistics 2026-04-30 S. Knutsen Furset , Geir-Arne Fuglstad , Espen R. Jakobsen

Despite the growing popularity of human mobility studies that collect GPS location data, the problem of determining the minimum required length of GPS monitoring has not been addressed in the current statistical literature. In this paper we…

Other Statistics · Statistics 2019-08-28 Zhihang Dong , Yen-Chi Chen , Adrian Dobra

Collective motion is an ubiquitous phenomenon in nature, inspiring engineers, physicists and mathematicians to develop mathematical models and bio-inspired designs. Collective motion at small to medium group sizes ($\sim$10-1000…

Machine Learning · Computer Science 2024-01-19 Utkarsh Pratiush , Arshed Nabeel , Vishwesha Guttal , Prathosh AP

The objective of this work is to expand upon previous works, considering socially acceptable behaviours within robot navigation and interaction, and allow a robot to closely approach static and dynamic individuals or groups. The space…

Robotics · Computer Science 2023-10-17 Ricarte Ribeiro , Plinio Moreno

In this work, we propose a novel Spatial-Temporal Attention (STA) approach to tackle the large-scale person re-identification task in videos. Different from the most existing methods, which simply compute representations of video clips…

Computer Vision and Pattern Recognition · Computer Science 2020-05-01 Yang Fu , Xiaoyang Wang , Yunchao Wei , Thomas Huang

Human mobility forecasting is crucial for disaster relief, city planning, and public health. However, existing models either only model location sequences or include time information merely as auxiliary input, thereby failing to leverage…

Artificial Intelligence · Computer Science 2025-10-24 Yunzhi Liu , Haokai Tan , Rushi Kanjaria , Lihuan Li , Flora D. Salim

Predicting an interaction before it is fully executed is very important in applications such as human-robot interaction and video surveillance. In a two-human interaction scenario, there often contextual dependency structure between the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Qiuhong Ke , Mohammed Bennamoun , Senjian An , Farid Bossaid , Ferdous Sohel

When mobile robots maneuver near people, they run the risk of rudely blocking their paths; but not all people behave the same around robots. People that have not noticed the robot are the most difficult to predict. This paper investigates…

Robotics · Computer Science 2018-09-25 Minkyu Kim , Jaemin Lee , Steven Jens Jorgensen , Luis Sentis

Multivariate time series modeling and prediction problems are abundant in many machine learning application domains. Accurate interpretation of such prediction outcomes from a machine learning model that explicitly captures temporal…

Machine Learning · Computer Science 2020-10-27 Tryambak Gangopadhyay , Sin Yong Tan , Zhanhong Jiang , Rui Meng , Soumik Sarkar

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

It remains challenging to automatically predict the multi-agent trajectory due to multiple interactions including agent to agent interaction and scene to agent interaction. Although recent methods have achieved promising performance, most…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Beihao Xia , Conghao Wang , Qinmu Peng , Xinge You , Dacheng Tao

Technologies to predict human actions are extremely important for applications such as human robot cooperation and autonomous driving. However, a majority of the existing algorithms focus on exploiting visual features of the videos and do…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Bo Chen , Decai Li , Yuqing He , Chunsheng Hua

We introduce statistical methods for predicting the types of human activity at sub-second resolution using triaxial accelerometry data. The major innovation is that we use labeled activity data from some subjects to predict the activity…

As an essential task in autonomous driving (AD), motion prediction aims to predict the future states of surround objects for navigation. One natural solution is to estimate the position of other agents in a step-by-step manner where each…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Xiaosong Jia , Shaoshuai Shi , Zijun Chen , Li Jiang , Wenlong Liao , Tao He , Junchi Yan

Spatial intelligence is the ability of a machine to perceive, reason, and act in three dimensions within space and time. Recent advancements in large-scale auto-regressive models have demonstrated remarkable capabilities across various…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Junyi Chen , Di Huang , Weicai Ye , Wanli Ouyang , Tong He

Predicting human displacements is crucial for addressing various societal challenges, including urban design, traffic congestion, epidemic management, and migration dynamics. While predictive models like deep learning and Markov models…

Computers and Society · Computer Science 2024-08-07 Sebastiano Bontorin , Simone Centellegher , Riccardo Gallotti , Luca Pappalardo , Bruno Lepri , Massimiliano Luca

Human trajectory forecasting is crucial for safe navigation in crowded environments, requiring models that balance accuracy with computational efficiency. Efficiently modeling social interactions is key to performance in dense crowds. Yet,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Po-Chien Luan , Wuyang Li , Yang Gao , Alexandre Alahi

Despite an extensive literature has been devoted to mine and model mobility features, forecasting where, when and whom people will encounter/colocate still deserve further research efforts. Forecasting people's encounter and colocation…

Social and Information Networks · Computer Science 2016-10-07 Karim Karamat Jahromi , Matteo Zignani , Sabrina Gaito , Gian Paolo Rossi

We present a novel trajectory prediction algorithm for pedestrians based on a personality-aware probabilistic feature map. This map is computed using a spatial query structure and each value represents the probability of the predicted…

Graphics · Computer Science 2019-11-04 Chaochao Li , Pei Lv , Mingliang Xu , Xinyu Wang , Dinesh Manocha , Bing Zhou , Meng Wang

Action-driven stochastic human motion prediction aims to generate future motion sequences of a pre-defined target action based on given past observed sequences performing non-target actions. This task primarily presents two challenges.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Jianwei Tang , Hong Yang , Tengyue Chen , Jian-Fang Hu