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首页> 外文期刊>SAE International Journal of Passenger Cars - Mechanical Systems >A Copula-Based Approach for Model Bias Characterization
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A Copula-Based Approach for Model Bias Characterization

机译:基于Copula的模型偏差表征方法

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摘要

Available methodologies for model bias identification are mainly regression-based approaches, such as Gaussian process, Bayesian inference-based models and so on. Accuracy and efficiency of these methodologies may degrade for characterizing the model bias when more system inputs are considered in the prediction model due to the curse of dimensionality for regression-based approaches. This paper proposes a copula-based approach for model bias identification without suffering the curse of dimensionality. The main idea is to build general statistical relationships between the model bias and the model prediction including all system inputs using copulas so that possible model bias distributions can be effectively identified at any new design configurations of the system. Two engineering case studies whose dimensionalities range from medium to high will be employed to demonstrate the effectiveness of the copula-based approach.
机译:用于模型偏差识别的可用方法主要是基于回归的方法,例如高斯过程,基于贝叶斯推理的模型等。当在预测模型中考虑更多的系统输入时,由于基于回归的方法的维度诅咒,这些方法的准确性和效率可能会下降,无法表征模型偏差。本文提出了一种基于copula的模型偏差识别方法,而不会遭受维度的诅咒。主要思想是使用copulas在模型偏差和模型预测(包括所有系统输入)之间建立一般统计关系,以便可以在系统的任何新设计配置下有效识别可能的模型偏差分布。尺寸从中等到高的两个工程案例研究将被用来证明基于copula的方法的有效性。

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