让环境和路径一起优化,提升多智能体导航的安全与效率。
Differentiable Environment-Trajectory Co-Optimization for Safe Multi-Agent Navigation
- 将环境配置作为变量,与路径联合优化,实现安全导航。
- 通过梯度计算使环境优化可微,显著提升导航安全性与效率。
- 适合研究智能交通、仓储物流等安全敏感场景的学者。
环境在多智能体导航中起关键作用,施加空间约束、规则和限制。传统方法将环境视为固定,未探索其对智能体性能的影响。本文将环境配置作为决策变量,与智能体动作共同优化,以实现安全导航。构建双层优化问题:下层优化智能体轨迹以最小化导航成本,上层优化环境配置以最大化导航安全。提出可微优化方法,用内点法求解下层,用梯度上升求解上层。通过KKT条件与隐函数定理,解析耦合两层,实现全程可微。设计新型安全度量指标,基于测度论证明其有效性。实验验证了该框架在仓库物流、城市交通等安全关键场景中的有效性。结果表明,优化后的环境能提供导航引导,同时提升安全性和效率。
原文摘要 · Abstract (English)
The environment plays a critical role in multi-agent navigation by imposing spatial constraints, rules, and limitations that agents must navigate around. Traditional approaches treat the environment as fixed, without exploring its impact on agents' performance. This work considers environment configurations as decision variables, alongside agent actions, to jointly achieve safe navigation. We formulate a bi-level problem, where the lower-level sub-problem optimizes agent trajectories that minimize navigation cost and the upper-level sub-problem optimizes environment configurations that maximize navigation safety. We develop a differentiable optimization method that iteratively solves the lower-level sub-problem with interior point methods and the upper-level sub-problem with gradient ascent. A key challenge lies in analytically coupling these two levels. We address this by leveraging KKT conditions and the Implicit Function Theorem to compute gradients of agent trajectories w.r.t. environment parameters, enabling differentiation throughout the bi-level structure. Moreover, we propose a novel metric that quantifies navigation safety as a criterion for the upper-level environment optimization, and prove its validity through measure theory. Our experiments validate the effectiveness of the proposed framework in a variety of safety-critical navigation scenarios, inspired from warehouse logistics to urban transportation. The results demonstrate that optimized environments provide navigation guidance, improving both agents' safety and efficiency.
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