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Predicting expected progeny difference for marbling score in Angus cattle using artificial neural networks and Bayesian regression models

机译:使用人工神经网络和贝叶斯回归模型预测安格斯牛大理石花纹的预期子代差异

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Background Artificial neural networks (ANN) mimic the function of the human brain and are capable of performing massively parallel computations for data processing and knowledge representation. ANN can capture nonlinear relationships between predictors and responses and can adaptively learn complex functional forms, in particular, for situations where conventional regression models are ineffective. In a previous study, ANN with Bayesian regularization outperformed a benchmark linear model when predicting milk yield in dairy cattle or grain yield of wheat. Although breeding values rely on the assumption of additive inheritance, the predictive capabilities of ANN are of interest from the perspective of their potential to increase the accuracy of prediction of molecular breeding values used for genomic selection. This motivated the present study, in which the aim was to investigate the accuracy of ANN when predicting the expected progeny difference (EPD) of marbling score in Angus cattle. Various ANN architectures were explored, which involved two training algorithms, two types of activation functions, and from 1 to 4 neurons in hidden layers. For comparison, BayesCπ models were used to select a subset of optimal markers (referred to as feature selection), under the assumption of additive inheritance, and then the marker effects were estimated using BayesCπ with π set equal to zero. This procedure is referred to as BayesCpC and was implemented on a high-throughput computing cluster. Results The ANN with Bayesian regularization method performed equally well for prediction of EPD as BayesCpC, based on prediction accuracy and sum of squared errors. With the 3K-SNP panel, for example, prediction accuracy was 0.776 using BayesCpC, and ranged from 0.776 to 0.807 using BRANN. With the selected 700-SNP panel, prediction accuracy was 0.863 for BayesCpC and ranged from 0.842 to 0.858 for BRANN. However, prediction accuracy for the ANN with scaled conjugate gradient back-propagation was lower, ranging from 0.653 to 0.689 with the 3K-SNP panel, and from 0.743 to 0.793 with the selected 700-SNP panel. Conclusions ANN with Bayesian regularization performed as well as linear Bayesian regression models in predicting additive genetic values, supporting the idea that ANN are useful as universal approximators of functions of interest in breeding contexts.
机译:背景技术人工神经网络(ANN)模仿人脑的功能,并且能够执行大规模并行计算以进行数据处理和知识表示。人工神经网络可以捕获预测变量和响应之间的非线性关系,并且可以自适应地学习复杂的函数形式,特别是在常规回归模型无效的情况下。在先前的研究中,当预测奶牛的牛奶产量或小麦的谷物产量时,具有贝叶斯正则化的ANN优于基准线性模型。尽管育种值依赖于加性遗传的假设,但从人工神经网络的潜力来提高用于基因组选择的分子育种值的预测准确性的角度来看,人工神经网络的预测能力值得关注。这激发了本研究的目的,其目的是在预测安格斯牛大理石花纹得分的预期后代差异(EPD)时调查ANN的准确性。探索了各种神经网络架构,其中涉及两种训练算法,两种类型的激活函数以及隐藏层中的1至4个神经元。为了进行比较,在加性继承的假设下,使用BayesCπ模型选择最佳标记的子集(称为特征选择),然后使用π设置为零的BayesCπ估计标记效果。此过程称为BayesCpC,是在高通量计算群集上实现的。结果基于预测准确性和平方误差和,采用贝叶斯正则化方法的人工神经网络在EPD的预测方面与BayesCpC的表现相同。例如,在3K-SNP面板中,使用BayesCpC的预测精度为0.776,而使用BRANN的预测精度为0.776至0.807。对于所选的700-SNP面板,BayesCpC的预测精度为0.863,而BRANN的预测精度为0.842至0.858。但是,具有比例共轭梯度反向传播的ANN的预测精度较低,在3K-SNP面板中从0.653到0.689,在选定的700-SNP面板中从0.743到0.793。结论具有贝叶斯正则化的ANN以及线性贝叶斯回归模型在预测加性遗传值方面均得到支持,支持了ANN可用作育种环境中目标函数的通用逼近器的想法。

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