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Trajectory prediction for multi-agents in complex scenarios is crucial for applications like autonomous driving. However, existing methods often overlook environmental biases, which leads to poor generalization. Additionally, hardware…

Machine Learning · Computer Science 2024-11-20 Xiaohe Li , Feilong Huang , Zide Fan , Fangli Mou , Leilei Lin , Yingyan Hou , Lijie Wen

Traffic demand forecasting by deep neural networks has attracted widespread interest in both academia and industry society. Among them, the pairwise Origin-Destination (OD) demand prediction is a valuable but challenging problem due to…

Machine Learning · Computer Science 2022-07-01 Liangzhe Han , Xiaojian Ma , Leilei Sun , Bowen Du , Yanjie Fu , Weifeng Lv , Hui Xiong

Natural dynamical systems, including the brain and climate, are highly nonlinear and complex. Determining information flow among the components that make up these dynamical systems is challenging. If the components are the result of a…

Chaotic Dynamics · Physics 2025-08-26 Claudia Lainscsek , Pariya Salami , Simon Draeger , Sydney S. Cash , Terrence J. Sejnowski

Pedestrian behavior has much more complicated characteristics in a dense crowd and thus attracts the widespread interest of scientists and engineers. However, even successful modeling approaches such as pedestrian models based on particle…

Multiagent Systems · Computer Science 2014-04-11 Qi Xu , Baohua Mao , Xujie Feng , Jia Feng

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

We propose a novel framework, Continuous_Time Attention, which infuses partial differential equations (PDEs) into the Transformer's attention mechanism to address the challenges of extremely long input sequences. Instead of relying solely…

Machine Learning · Computer Science 2025-12-30 Yukun Zhang , Xueqing Zhou

We incorporate prior graph topology information into a Neural Controlled Differential Equation (NCDE) to predict the future states of a dynamical system defined on a graph. The informed NCDE infers the future dynamics at the vertices of…

Machine Learning · Computer Science 2024-10-28 Michael Detzel , Gabriel Nobis , Jackie Ma , Wojciech Samek

Robots need to predict and react to human motions to navigate through a crowd without collisions. Many existing methods decouple prediction from planning, which does not account for the interaction between robot and human motions and can…

Robotics · Computer Science 2025-03-12 Sepehr Samavi , James R. Han , Florian Shkurti , Angela P. Schoellig

Navigation in dense crowds is a well-known open problem in robotics with many challenges in mapping, localization, and planning. Traditional solutions consider dense pedestrians as passive/active moving obstacles that are the cause of all…

Robotics · Computer Science 2021-01-05 Tingxiang Fan , Dawei Wang , Wenxi Liu , Jia Pan

Real-world multi-agent systems are often dynamic and continuous, where the agents co-evolve and undergo changes in their trajectories and interactions over time. For example, the COVID-19 transmission in the U.S. can be viewed as a…

Machine Learning · Computer Science 2024-03-04 Zijie Huang , Jeehyun Hwang , Junkai Zhang , Jinwoo Baik , Weitong Zhang , Dominik Wodarz , Yizhou Sun , Quanquan Gu , Wei Wang

Citywide crowd flow analytics is of great importance to smart city efforts. It aims to model the crowd flow (e.g., inflow and outflow) of each region in a city based on historical observations. Nowadays, Convolutional Neural Networks (CNNs)…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Yuxuan Liang , Kun Ouyang , Yiwei Wang , Ye Liu , Junbo Zhang , Yu Zheng , David S. Rosenblum

Central banks rely on density forecasts from professional surveys to assess inflation risks and communicate uncertainty. A central challenge in using these surveys is irregular participation: forecasters enter and exit, skip rounds, and…

Applications · Statistics 2026-02-06 Matthew C. Johnson , Matteo Luciani , Minzhengxiong Zhang , Kenichiro McAlinn

Cascading failures (CF) entail component breakdowns spreading through infrastructure networks, causing system-wide collapse. Predicting CFs is of great importance for infrastructure stability and urban function. Despite extensive research…

Social and Information Networks · Computer Science 2025-03-06 Yinzhou Tang , Jinghua Piao , Huandong Wang , Shaw Rajib , Yong Li

Long-horizon motion forecasting for multiple autonomous robots is challenging due to non-linear agent interactions, compounding prediction errors, and continuous-time evolution of dynamics. Learned dynamics of such a system can be useful in…

Robotics · Computer Science 2025-10-02 Shounak Sural , Charles Kekeh , Wenliang Liu , Federico Pecora , Mouhacine Benosman

Cooperative control of connected and automated vehicles (CAVs) promises smoother traffic flow. In mixed traffic, where human-driven vehicles with unknown dynamics coexist, data-driven predictive control techniques allow for CAV safe and…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Jiawei Wang , Yingzhao Lian , Yuning Jiang , Qing Xu , Keqiang Li , Colin N. Jones

Accurate trajectory prediction has long been a major challenge for autonomous driving (AD). Traditional data-driven models predominantly rely on statistical correlations, often overlooking the causal relationships that govern traffic…

Artificial Intelligence · Computer Science 2025-05-13 Bonan Wang , Haicheng Liao , Chengyue Wang , Bin Rao , Yanchen Guan , Guyang Yu , Jiaxun Zhang , Songning Lai , Chengzhong Xu , Zhenning Li

Coordination recognition and subtle pattern prediction of future trajectories play a significant role when modeling interactive behaviors of multiple agents. Due to the essential property of uncertainty in the future evolution,…

Robotics · Computer Science 2019-05-03 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

A crowd density forecasting task aims to predict how the crowd density map will change in the future from observed past crowd density maps. However, the past crowd density maps are often incomplete due to the miss-detection of pedestrians,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Ryo Fujii , Ryo Hachiuma , Hideo Saito

Computational fluid dynamics (CFD) is a powerful tool for modeling turbulent flow and is commonly used for urban microclimate simulations. However, traditional CFD methods are computationally intensive, requiring substantial hardware…

Bridging the microscopic and macroscopic modelling scales in crowd dynamics constitutes an open challenge for systematic numerical analysis, optimization, and control. Here, we propose a manifold-informed machine learning approach to learn…

Machine Learning · Computer Science 2026-03-03 Hector Vargas Alvarez , Dimitrios G. Patsatzis , Lucia Russo , Ioannis Kevrekidis , Constantinos Siettos