English
Related papers

Related papers: Mean Field Game-Based Interactive Trajectory Plann…

200 papers

Traffic conflict detection is essential for proactive road safety by identifying potential collisions before they occur. Existing methods rely on surrogate safety measures tailored to specific interactions (e.g., car-following,…

Robotics · Computer Science 2024-12-24 Yiru Jiao , Simeon C. Calvert , Sander van Cranenburgh , Hans van Lint

We propose JFP, a Joint Future Prediction model that can learn to generate accurate and consistent multi-agent future trajectories. For this task, many different methods have been proposed to capture social interactions in the encoding part…

Multiagent Systems · Computer Science 2022-12-20 Wenjie Luo , Cheolho Park , Andre Cornman , Benjamin Sapp , Dragomir Anguelov

Safe navigation in dense, urban driving environments remains an open problem and an active area of research. Unlike typical predict-then-plan approaches, game-theoretic planning considers how one vehicle's plan will affect the actions of…

Robotics · Computer Science 2022-01-11 Arec Jamgochian , Kunal Menda , Mykel J. Kochenderfer

Mean-field games (MFGs) study the Nash equilibrium of systems with a continuum of interacting agents, which can be formulated as the fixed-point of optimal control problems. They provide a unified framework for a variety of applications,…

Machine Learning · Statistics 2025-12-02 Jiajia Yu , Junghwan Lee , Yao Xie , Xiuyuan Cheng

The actions of an autonomous vehicle on the road affect and are affected by those of other drivers, whether overtaking, negotiating a merge, or avoiding an accident. This mutual dependence, best captured by dynamic game theory, creates a…

Robotics · Computer Science 2018-10-16 Jaime F. Fisac , Eli Bronstein , Elis Stefansson , Dorsa Sadigh , S. Shankar Sastry , Anca D. Dragan

Autonomous vehicles hold great promise in improving the future of transportation. The driving models used in these vehicles are based on neural networks, which can be difficult to validate. However, ensuring the safety of these models is…

Robotics · Computer Science 2023-09-14 Maximilian Zipfl , Sven Spickermann , J. Marius Zöllner

In this study, the connected and automated vehicles (CAVs) platooning problem is resolved under a differential game framework. Three information topologies are considered here. Firstly, Predecessor-following (PF) topology is utilized where…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Hossein B. Jond , Aykut Yıldız

Motion planning is a crucial aspect of robot autonomy as it involves identifying a feasible motion path to a destination while taking into consideration various constraints, such as input, safety, and performance constraints, without…

Robotics · Computer Science 2023-06-14 Dengyu Zhang , Guobin Zhu , Qingrui Zhang

In this paper, we propose an initial value fomulation of the discrete mean field games on finite graphs (Graph MFG), and design a neural network based approach to solve it. Graph MFG describes infinite, non-cooperative and interactive…

Numerical Analysis · Mathematics 2026-04-08 Yaxin Feng , Yang Xiang , Haomin Zhou

Cooperatively planning for multiple agents has been proposed as a promising method for strategic and motion planning for automated vehicles. By taking into account the intent of every agent, the ego agent can incorporate future interactions…

Robotics · Computer Science 2021-10-01 Tobias Kessler , Klemens Esterle , Alois Knoll

Recently significant progress has been made in vehicle prediction and planning algorithms for autonomous driving. However, it remains quite challenging for an autonomous vehicle to plan its trajectory in complex scenarios when it is…

Robotics · Computer Science 2023-07-25 Xiangguo Liu , Ruochen Jiao , Yixuan Wang , Yimin Han , Bowen Zheng , Qi Zhu

Trajectory optimization in multi-vehicle scenarios faces challenges due to its non-linear, non-convex properties and sensitivity to initial values, making interactions between vehicles difficult to control. In this paper, inspired by…

Robotics · Computer Science 2025-03-10 Changjia Ma , Yi Zhao , Zhongxue Gan , Bingzhao Gao , Wenchao Ding

This paper proposes a novel methodology for trajectory planning in autonomous vehicles (AVs), addressing the complex challenge of negotiating speed bumps within a unified Mixed-Integer Quadratic Programming (MIQP) framework. By leveraging…

We present a novel approach for risk-aware planning with human agents in multi-agent traffic scenarios. Our approach takes into account the wide range of human driver behaviors on the road, from aggressive maneuvers like speeding and…

Robotics · Computer Science 2022-05-03 Rohan Chandra , Mingyu Wang , Mac Schwager , Dinesh Manocha

Mean field games (MFGs) offer a versatile framework for modeling large-scale interactive systems across multiple domains. This paper builds upon a previous work, by developing a state-of-the-art unified approach to decode or design the…

Analysis of PDEs · Mathematics 2025-01-22 Hongyu Liu , Catharine W. K. Lo

Trajectory planning for autonomous race cars poses special challenges due to the highly interactive and competitive environment. Prior work has applied game theory as it provides equilibria for such non-cooperative dynamic problems. This…

Robotics · Computer Science 2023-10-03 Matthias Rowold

Predicting an agent's future trajectory is a challenging task given the complicated stimuli (environmental/inertial/social) of motion. Prior works learn individual stimulus from different modules and fuse the representations in an…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Shan Su , Cheng Peng , Jianbo Shi , Chiho Choi

In this book, we present a curated collection of existing results on inverse problems for Mean Field Games (MFGs), a cutting-edge and rapidly evolving field of research. Our aim is to provide fresh insights, novel perspectives, and a…

Analysis of PDEs · Mathematics 2025-03-20 Hongyu Liu , Catharine W. K. Lo , Shen Zhang

Robotic trajectory planning in dynamic and cluttered environments remains a critical challenge, particularly when striving for both time efficiency and motion smoothness under actuation constraints. Traditional path planner, such as…

Robotics · Computer Science 2025-08-12 Adeetya Uppal , Rakesh Kumar Sahoo , Manoranjan Sinha

Multi-UAV cooperative path planning (MUCPP) is a fundamental problem in multi-agent systems, aiming to generate collision-free trajectories for a team of unmanned aerial vehicles (UAVs) to complete distributed tasks efficiently. A key…

Robotics · Computer Science 2025-12-02 Hongzong Li , Luwei Liao , Xiangguang Dai , Yuming Feng , Rong Feng , Shiqin Tang