Adjusting robust neural networks for solving the classification problem

M. A. Sivak, V. Timofeev
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Abstract

The paper highlights the problem of building and adjusting robust neural networks applying different loss functions for solving the classification problem. The considered functions are those of Cauchy, Meshalkin, Geman-McCluer, Charbonnier and Tukey’s Biweight losses. The accuracy of classification is examined for the different values of outliers’ fraction, for several values of learning epochs count and for datasets with various sizes. For all obtained networks the parameter values that maximize the accuracy, are defined. The best practices for choosing the parameter values depending on epoch count are also defined for all the loss functions. The ordinary neural network (with quadratic loss) and the robust neural network applying the Huber loss are also considered. The analysis of the results shows that the use of robust approach can significantly increase the learning rate and the classification accuracy, however, choosing the incorrect parameter value can decrease the accuracy of classification.
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调整鲁棒神经网络解决分类问题
本文重点研究了应用不同损失函数构建和调整鲁棒神经网络来解决分类问题的问题。所考虑的函数是Cauchy, Meshalkin, Geman-McCluer, Charbonnier和Tukey 's Biweight loss的函数。对于所有得到的网络,定义了使精度最大化的参数值。根据epoch计数选择参数值的最佳实践也为所有损失函数定义了。同时考虑了具有二次损失的普通神经网络和具有Huber损失的鲁棒神经网络。结果分析表明,采用鲁棒方法可以显著提高学习率和分类准确率,但选择不正确的参数值会降低分类准确率。
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