用曲率感知优化让决策变压器更快更稳地学习四足机器人控制。
Guided Riemannian Optimization (GuRO): Bridging Model Predictive Control and Decision Transformers

- 结合模型预测控制提供局部最优轨迹,引导决策变压器训练。
- 在四足控制任务中比TRPO、SAC等基线方法收益更高,收敛更快。
- 适合需要高效、稳定训练的复杂机器人决策场景。
高维非线性系统中的决策问题仍是机器人领域的核心挑战。基于模型的方法如模型预测控制(MPC)虽具采样效率和可解释性,但当动态模型不准确或需长时序预测时性能下降;而无模型强化学习(RL)虽能直接从交互中学习策略,却面临高样本复杂度和优化不稳定的问题。近期序列建模进展推动了基于Transformer的决策框架,融合了MPC与RL,但其训练常受高度非凸损失景观影响。本文提出一种新框架,将MPC与RL统一于序列决策中,并采用曲率感知优化方法,在黎曼参数空间中高效应对非凸问题。MPC提供局部最优轨迹作为引导,避免大量离线预训练。为解决传统优化器收敛慢且不稳定的问题,采用高效的黎曼优化方法,实现更快更鲁棒的训练。在高维四足控制任务上评估,本方法持续优于TRPO、SAC及在线决策变压器,取得更高回报与更快收敛。
原文摘要 · Abstract (English)
Decision-making in high-dimensional, nonlinear systems remains a central challenge in robotics. While model-based methods like Model Predictive Control (MPC) offer sample efficiency and interpretability, their performance degrades when the dynamics model is inaccurate or long-horizon predictions are required. Conversely, model-free reinforcement learning (RL) learns policies directly from interaction but suffers from high sample complexity and unstable optimization. Recent advances in sequence modeling have inspired transformer-based decision-making frameworks that can unify MPC and RL, but their training typically faces significant optimization challenges due to highly non-convex loss landscapes. In this work, we propose a novel framework that integrates MPC with RL in a sequence decision-making framework and leverages a curvature-aware optimization to efficiently tackle non-convex loss landscapes. MPC provides predictions of locally optimal trajectories that guide the decision transformer, removing the need for extensive offline pretraining. To address the slow and unstable convergence of traditional optimizers, we train the policy in a Riemannian parameter space using an efficient Riemannian (curvature-aware) method, leading to faster and more robust optimization. We evaluate our framework on high-dimensional quadruped control tasks and demonstrate consistent improvements over strong baselines, including TRPO, SAC, and Online Decision Transformer, achieving higher returns and faster convergence.
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