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动态规划误差传播研究:从随机控制到美式期权定价

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2026年10月5日,arXiv Statistics Machine Learning 频道发布论文《动态规划中的误差传播:从随机控制到美式期权定价》。论文在离散时间随机最优控制的动态规划框架下,结合再生核希尔伯特空间(RKHS)中的核岭回归(KRR)算法与 Monte Carlo 子采样方法估计价值函数,提出误差分解并严格控制各时间步误差项,进而分析误差从到期日向初始阶段的反向传播。研究将上述分析应用于美式期权定价。该文已被第43届 International Conference on Machine Learning 接收。

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Oct 5, 2026
  1. arXiv · Statistics Machine Learning
    动态规划中的误差传播:从随机控制到美式期权定价

    论文在离散时间随机最优控制的动态规划框架下,结合 RKHS 中的 KRR 算法与 Monte Carlo 子采样估计价值函数,提出误差分解并严格控制各时间步误差项,进而分析误差从到期日向初始阶段的反向传播。研究将上述分析应用于美式期权定价。该文已被第 43 届 International Conference on Machine Learning 接收。

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