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Over the several recent years, there has been a boom in development of Flow Matching (FM) methods for generative modeling. One intriguing property pursued by the community is the ability to learn flows with straight trajectories which…

Machine Learning · Statistics 2024-11-11 Nikita Kornilov , Petr Mokrov , Alexander Gasnikov , Alexander Korotin

Trajectory analysis is essential in many applications. In this paper, we address the problem of representing motion trajectories in a highly informative way, and consequently utilize it for analyzing trajectories. Our approach first…

Computer Vision and Pattern Recognition · Computer Science 2017-04-27 Weiyao Lin , Yang Zhou , Hongteng Xu , Junchi Yan , Mingliang Xu , Jianxin Wu , Zicheng Liu

Origin-Destination (OD) matrices record directional flow data between pairs of OD regions. The intricate spatiotemporal dependency in the matrices makes the OD matrix forecasting (ODMF) problem not only intractable but also non-trivial.…

Artificial Intelligence · Computer Science 2022-08-18 Jin Huang , Bosong Huang , Weihao Yu , Jing Xiao , Ruzhong Xie , Ke Ruan

Predicting future behaviors of road agents is a key task in autonomous driving. While existing models have demonstrated great success in predicting marginal agent future behaviors, it remains a challenge to efficiently predict consistent…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Xin Huang , Xiaoyu Tian , Junru Gu , Qiao Sun , Hang Zhao

Monitoring migration flows is crucial to respond to humanitarian crisis and to design efficient policies. This information usually comes from surveys and border controls, but timely accessibility and methodological concerns reduce its…

Understanding urban human mobility patterns at various spatial levels is essential for social science. This study presents a machine learning framework to downscale origin-destination (OD) taxi trips flows in New York City from a larger…

Machine Learning · Computer Science 2025-09-29 Yuqin Jiang , Andrey A. Popov , Tianle Duan , Qingchun Li

This paper presents a novel feedback method on the motion planning for unicycle robots in environments with static obstacles, along with an extension to the distributed planning and coordination in multi-robot systems. The method employs a…

Robotics · Computer Science 2014-10-22 Dimitra Panagou

The Origin-Destination~(OD) networks provide an estimation of the flow of people from every region to others in the city, which is an important research topic in transportation, urban simulation, etc. Given structural regional urban…

Machine Learning · Computer Science 2023-06-12 Can Rong , Jingtao Ding , Zhicheng Liu , Yong Li

We study a class of dynamical multi-commodity flow networks in transportation networks. These are modeled as dynamical systems describing the evolution of the densities of a number of different commodities across the cells of a…

Dynamical Systems · Mathematics 2025-08-26 Davide Sipione , Giacomo Como

Predicting human mobility patterns has many practical applications in urban planning, traffic engineering, infectious disease epidemiology, emergency management and location-based services. Developing a universal model capable of accurately…

Physics and Society · Physics 2019-04-22 Erjian Liu , Xiao-Yong Yan

Trajectory prediction is one of the essential tasks for autonomous vehicles. Recent progress in machine learning gave birth to a series of advanced trajectory prediction algorithms. Lately, the effectiveness of using graph neural networks…

Machine Learning · Computer Science 2024-03-14 Juanwu Lu , Wei Zhan , Masayoshi Tomizuka , Yeping Hu

Systematics contaminate observables, leading to distribution shifts relative to theoretically simulated signals-posing a major challenge for using pre-trained models to label such observables. Since systematics are often poorly understood…

Instrumentation and Methods for Astrophysics · Physics 2025-11-18 Sultan Hassan , Sambatra Andrianomena , Benjamin D. Wandelt

In agriculture, automating the accurate tracking of fruits, vegetables, and fiber is a very tough problem. The issue becomes extremely challenging in dynamic field environments. Yet, this information is critical for making day-to-day…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Md Ahmed Al Muzaddid , William J. Beksi

Accurate trajectory prediction is essential for the safe operation of autonomous vehicles in real-world environments. Even well-trained machine learning models may produce unreliable predictions due to discrepancies between training data…

Robotics · Computer Science 2025-04-24 Tongfe Guo , Taposh Banerjee , Rui Liu , Lili Su

Accurate velocity estimation of surrounding moving objects and their trajectories are critical elements of perception systems in Automated/Autonomous Vehicles (AVs) with a direct impact on their safety. These are non-trivial problems due to…

Robotics · Computer Science 2024-03-27 MReza Alipour Sormoli , Mehrdad Dianati , Sajjad Mozaffari , Roger woodman

This paper focuses on the motion planning for mobile robots in 3D, which are modelled by 6-DOF rigid body systems with nonholonomic kinematics constraints. We not only specify the target position, but also bring in the requirement of the…

Robotics · Computer Science 2023-04-11 Xiaodong He , Weijia Yao , Zhiyong Sun , Zhongkui Li

Optimal transport (OT) distances between probability distributions are parameterized by the ground metric they use between observations. Their relevance for real-life applications strongly hinges on whether that ground metric parameter is…

Machine Learning · Statistics 2020-11-06 Matthieu Heitz , Nicolas Bonneel , David Coeurjolly , Marco Cuturi , Gabriel Peyré

Visual querying is essential for interactively exploring massive trajectory data. However, the data uncertainty imposes profound challenges to fulfill advanced analytics requirements. On the one hand, many underlying data does not contain…

Human-Computer Interaction · Computer Science 2019-10-14 Zhaosong Huang , Ye Zhao , Wei Chen , Shengjie Gao , Kejie Yu , Weixia Xu , Mingjie Tang , Minfeng Zhu , Mingliang Xu

Metropolitan scale vehicular traffic modeling is used by a variety of private and public sector urban mobility stakeholders to inform the design and operations of road networks. High-resolution stochastic traffic simulators are increasingly…

Multiagent Systems · Computer Science 2021-09-24 Neha Arora , Yi-fan Chen , Sanjay Ganapathy , Yechen Li , Ziheng Lin , Carolina Osorio , Andrew Tomkins , Iveel Tsogsuren

Automated vehicles (AVs) are tested in diverse scenarios, typically specified by parameters such as velocities, distances, or curve radii. To describe scenarios uniformly independent of such parameters, this paper proposes a vectorized…

Machine Learning · Computer Science 2023-08-28 Max Winkelmann , Constantin Vasconi , Steffen Müller