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While modern Autonomous Vehicle (AV) systems can develop reliable driving policies under regular traffic conditions, they frequently struggle with safety-critical traffic scenarios. This difficulty primarily arises from the rarity of such…

人工智能 · 计算机科学 2025-12-18 Guanren Qiao , Guorui Quan , Jiawei Yu , Shujun Jia , Guiliang Liu

Modeling the interaction between traffic agents is a key issue in designing safe and non-conservative maneuvers in autonomous driving. This problem can be challenging when multi-modality and behavioral uncertainties are engaged. Existing…

机器人学 · 计算机科学 2024-09-24 Zhenmin Huang , Tong Li , Shaojie Shen , Jun Ma

The Augmented Lagrangian Method (ALM) is an iterative method for the solution of equality-constrained non-linear programming problems. In contrast to the quadratic penalty method, the ALM can satisfy equality constraints in an exact way.…

数值分析 · 数学 2018-04-24 Martin Neuenhofen

Differential Dynamic Programming (DDP) has become a well established method for unconstrained trajectory optimization. Despite its several applications in robotics and controls however, a widely successful constrained version of the…

最优化与控制 · 数学 2020-05-05 Yuichiro Aoyama , George Boutselis , Akash Patel , Evangelos A. Theodorou

The focus of this paper is to propose a driver model that incorporates human reasoning levels as actions during interactions with other drivers. Different from earlier work using game theoretical human reasoning levels, we propose a dynamic…

多智能体系统 · 计算机科学 2021-01-19 Cevahir Köprülü , Yıldıray Yıldız

Ramp merging is considered as one of the major causes of traffic congestion and accidents because of its chaotic nature. With the development of connected and automated vehicle (CAV) technology, cooperative ramp merging has become one of…

系统与控制 · 电气工程与系统科学 2021-01-28 Xishun Liao , Xuanpeng Zhao , Guoyuan Wu , Matthew Barth , Ziran Wang , Kyungtae Han , Prashant Tiwari

In interactive multi-agent settings, decision-making and planning are challenging mainly due to the agents' interconnected objectives. Dynamic game theory offers a formal framework for analyzing such intricacies. Yet, solving constrained…

机器人学 · 计算机科学 2025-03-24 Maulik Bhatt , Yixuan Jia , Negar Mehr

In this paper, a hierarchical one-leader-multi-followers game for a class of continuous-time nonlinear systems with disturbance is investigated by a novel policy iteration reinforcement learning technique in which, the game model consists…

系统与控制 · 电气工程与系统科学 2019-07-29 Mohammad reza Satouri , Hamed Kebriaei , Abolhassan Razminia , Mohammad javad Yazdanpanah

We consider the problem of interaction-aware motion planning for automated vehicles in general traffic situations. We model the interaction between the controlled vehicle and surrounding road users using a generalized potential game, in…

最优化与控制 · 数学 2023-05-09 Brecht Evens , Mathijs Schuurmans , Panagiotis Patrinos

Dynamic games arise when multiple agents with differing objectives choose control inputs to a dynamic system. Dynamic games model a wide variety of applications in economics, defense, and energy systems. However, compared to single-agent…

最优化与控制 · 数学 2018-09-25 Bolei Di , Andrew Lamperski

We propose a novel framework for robust dynamic games with nonlinear dynamics corrupted by state-dependent additive noise, and nonlinear agent-specific and shared constraints. Leveraging system-level synthesis (SLS), each agent designs a…

系统与控制 · 电气工程与系统科学 2026-04-08 Shuyu Zhan , Chih-Yuan Chiu , Antoine P. Leeman , Glen Chou

We propose GameOpt: a novel hybrid approach to cooperative intersection control for dynamic, multi-lane, unsignalized intersections. Safely navigating these complex and accident prone intersections requires simultaneous trajectory planning…

机器人学 · 计算机科学 2022-03-21 Nilesh Suriyarachchi , Rohan Chandra , John S. Baras , Dinesh Manocha

We present a performant gradient method for smooth convex optimization, drawing inspiration from several recent advances in the field. Our algorithm, the Adaptive Subgame Perfect Gradient Method (ASPGM) is based on the notion of subgame…

最优化与控制 · 数学 2026-02-13 Alan Luner , Benjamin Grimmer

Mean field games (MFGs) have emerged as a powerful framework for modeling interactions in large-scale multi-agent systems. Despite recent advancements in reinforcement learning (RL) for MFGs, existing methods are typically limited to finite…

机器学习 · 计算机科学 2025-10-28 Lorenzo Magnino , Kai Shao , Zida Wu , Jiacheng Shen , Mathieu Laurière

In this paper we develop a novel approach to the convergence of Best-Response Dynamics for the family of interference games. Interference games represent the fundamental resource allocation conflict between users of the radio spectrum. In…

计算机科学与博弈论 · 计算机科学 2018-11-20 Ilai Bistritz , Amir Leshem

The augmented Lagrangian method (ALM) is a classical optimization tool that solves a given "difficult" (constrained) problem via finding solutions of a sequence of "easier"(often unconstrained) sub-problems with respect to the original…

最优化与控制 · 数学 2020-04-16 Dusan Jakovetic , Dragana Bajovic , Joao Xavier , Jose M. F. Moura

The extragradient method has gained popularity due to its robust convergence properties for differentiable games. Unlike single-objective optimization, game dynamics involve complex interactions reflected by the eigenvalues of the game…

机器学习 · 计算机科学 2024-02-13 Junhyung Lyle Kim , Gauthier Gidel , Anastasios Kyrillidis , Fabian Pedregosa

The capability to learn and adapt to changes in the driving environment is crucial for developing autonomous driving systems that are scalable beyond geo-fenced operational design domains. Deep Reinforcement Learning (RL) provides a…

机器学习 · 计算机科学 2019-11-12 Praveen Palanisamy

We present a new solver for non-convex trajectory optimization problems that is specialized for robotics applications. CALIPSO, or the Conic Augmented Lagrangian Interior-Point SOlver, combines several strategies for constrained numerical…

机器人学 · 计算机科学 2023-01-12 Taylor A. Howell , Simon Le Cleac'h , Kevin Tracy , Zachary Manchester

Road congestion induces significant costs across the world, and road network disturbances, such as traffic accidents, can cause highly congested traffic patterns. If a planner had control over the routing of all vehicles in the network,…

最优化与控制 · 数学 2021-06-07 Daniel A. Lazar , Erdem Bıyık , Dorsa Sadigh , Ramtin Pedarsani