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A Bayesian Modelling Approach with Balancing Informative Prior for Analysing Imbalanced Data

机译:平衡信息量先验的贝叶斯建模方法分析不平衡数据

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摘要

When a dataset is imbalanced, the prediction of the scarcely-sampled subpopulation can be over-influenced by the population contributing to the majority of the data. The aim of this study was to develop a Bayesian modelling approach with balancing informative prior so that the influence of imbalance to the overall prediction could be minimised. The new approach was developed in order to weigh the data in favour of the smaller subset(s). The method was assessed in terms of bias and precision in predicting model parameter estimates of simulated datasets. Moreover, the method was evaluated in predicting optimal dose levels of tobramycin for various age groups in a motivating example. The bias estimates using the balancing informative prior approach were smaller than those generated using the conventional approach which was without the consideration for the imbalance in the datasets. The precision estimates were also superior. The method was further evaluated in a motivating example of optimal dosage prediction of tobramycin. The resulting predictions also agreed well with what had been reported in the literature. The proposed Bayesian balancing informative prior approach has shown a real potential to adequately weigh the data in favour of smaller subset(s) of data to generate robust prediction models.
机译:当数据集不平衡时,对采样少的子种群的预测可能会受到对大多数数据做出贡献的人口的过度影响。这项研究的目的是开发一种具有先验均衡先验的贝叶斯建模方法,以使不平衡对整体预测的影响最小。开发新方法是为了权衡较小的子集数据。根据预测模拟数据集的模型参数估计的偏差和精度评估了该方法。此外,在一个有动力的例子中,评估了该方法在预测不同年龄组妥布霉素的最佳剂量水平。使用平衡的先验信息方法的偏差估计要比使用常规方法所产生的偏差估计要小,而传统方法无需考虑数据集中的不平衡。精度估算也很出色。在妥布霉素最佳剂量预测的有力实例中进一步评估了该方法。所得的预测也与文献中报道的相吻合。提出的贝叶斯平衡信息性先验方法显示了充分权衡数据以支持较小数据子集以生成鲁棒预测模型的真实潜力。

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