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首页> 外文期刊>Proceedings of the Workshop on Principles of Advanced and Distributed Simulation >ACHIEVING OPTIMAL BIAS-VARIANCE TRADEOFF IN ONLINE DERIVATIVE ESTIMATION
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ACHIEVING OPTIMAL BIAS-VARIANCE TRADEOFF IN ONLINE DERIVATIVE ESTIMATION

机译:在线衍生估计中实现最佳偏差差异

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摘要

The finite-difference method has been commonly used in stochastic derivative estimation when an unbiased derivative estimator is unavailable or costly. The efficiency of this method relies on the choice of a perturbation parameter, which needs to be calibrated based on the number of simulation replications. We study the setting where such an a priori planning of simulation runs is difficult, which could arise due to the variability of runtime for complex simulation models or interruptions. We show how a simple recursive weighting scheme on simulation outputs can recover, in an online fashion, the optimal asymptotic bias-variance tradeoff achieved by the conventional scheme where the replication size is known in advance.
机译:当无偏衍生物估计器不可用或昂贵时,有限差分法常用于随机衍生物估计。 该方法的效率依赖于选择扰动参数,这需要根据模拟复制的数量来校准。 我们研究了这样的设置,其中难以实现模拟运行的先验规划,这可能由于运行时的变化而导致的复杂模拟模型或中断。 我们展示了如何在仿真输出上进行简单的递归加权方案,以在线方式恢复,通过预先已知复制大小的传统方案实现的最佳渐近偏差差异。

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