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軌道最適化arXiv:2407.01573

モデルベース拡散による軌道最適化

Model-Based Diffusion for Trajectory Optimization

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軌道最適化問題のモデル情報からスコア関数を直接計算し、データ不要で拡散過程により軌道を最適化する手法を提案。接触の多い難タスクで強化学習やサンプリングベース手法を上回る。

著者: Chaoyi Pan, Zeji Yi, Guanya Shi, Guannan Qu

分類: cs.RO, cs.LG, cs.SY, eess.SY, math.OC

原文アブストラクト

Recent advances in diffusion models have demonstrated their strong capabilities in generating high-fidelity samples from complex distributions through an iterative refinement process. Despite the empirical success of diffusion models in motion planning and control, the model-free nature of these methods does not leverage readily available model information and limits their generalization to new scenarios beyond the training data (e.g., new robots with different dynamics). In this work, we introduce Model-Based Diffusion (MBD), an optimization approach using the diffusion process to solve trajectory optimization (TO) problems without data. The key idea is to explicitly compute the score function by leveraging the model information in TO problems, which is why we refer to our approach as model-based diffusion. Moreover, although MBD does not require external data, it can be naturally integrated with data of diverse qualities to steer the diffusion process. We also reveal that MBD has interesting connections to sampling-based optimization. Empirical evaluations show that MBD outperforms state-of-the-art reinforcement learning and sampling-based TO methods in challenging contact-rich tasks. Additionally, MBD's ability to integrate with data enhances its versatility and practical applicability, even with imperfect and infeasible data (e.g., partial-state demonstrations for high-dimensional humanoids), beyond the scope of standard diffusion models.

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