基于似然比回归的重复实验模拟结果重用

B. Feng, Guangxin Jiang
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引用次数: 0

摘要

有时定期进行模拟实验,并对随机系统的参数进行更新建模。对过去的仿真实验数据进行存储和重用,可能有助于当前的仿真实验。在本文中,我们考虑在重复实验中重用仿真数据来开发高质量的元模型。具体来说,我们提出了一个广义最小二乘回归元模型,其输入数据包括当前和过去实验的模拟输出。此外,通过似然比方法重用了过去的模拟输出。通过渐近方差分析,说明了重复利用以往模拟数据对预测精度的好处,数值结果表明了所提方法的有效性。
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Reusing Simulation Outputs of Repeated Experiments Via Likelihood Ratio Regression
Simulation experiments are sometimes conducted periodically, with updated parameters of the stochastic system being modeled. Storing and reusing the past simulation experiment data may be helpful for the current simulation experiment. In this paper, we consider reusing simulation data in repeated experiments to develop high-quality metamodels. Specifically, we propose a generalized least square regression metamodel whose input data include simulation outputs from the current and the past experiments. Moreover, the past simulation outputs are reused via the likelihood ratio method. Asymptotic variance analysis is provided to show the benefits of reusing past simulation data in prediction accuracy, and the numerical results show the effectiveness of the proposed method.
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