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English(EN) Second-Order Smooth Planning with Optimal-Transport Bellman Smoothing

新的规划方法使用最优传输平滑将复杂度降低了 3 倍

研究人员开发了一种名为 SecondOrderSmoothCruiser 的新规划方法,通过引入二阶光滑性来改进现有技术。这项进展将生成模型规划的预言机复杂度从 \(\\widetilde O(\\varepsilon^{-4})\) 降低到 \(\\widetilde O(\\varepsilon^{-3})\)。该方法利用了最优传输平滑的贝尔曼备份,该备份具有闭式解和 Lipschitz Hessian,从而能够以更少的模拟器调用更有效地估计状态值。 AI

影响 这项研究可能带来更高效的 AI 规划算法,降低复杂任务的计算成本。

排序理由 该集群包含一篇详细介绍新颖算法及其理论改进的研究论文。[lever_c_demoted from research: ic=1 ai=1.0]

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新的规划方法使用最优传输平滑将复杂度降低了 3 倍

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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Tuan Dam ·

    具有最优传输贝尔曼平滑的二阶光滑规划

    arXiv:2609.06484v1 Announce Type: cross Abstract: Planning with a generative model aims to estimate the value of a state using as few simulator calls as possible. SmoothCruiser achieves problem-independent complexity $\widetilde O(\varepsilon^{-4})$ by exploiting the smoothness o…