多层感知器训练中Kohonen自组织映射在代表性样本形成中的应用

Aleksey A. Pastukhov, Alexander A. Prokofiev
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引用次数: 16

摘要

在本文中,我们考虑了有效地形成一个有代表性的样本来训练多层感知器(MLP)类型的神经网络的问题。阐述了将因子空间划分为测试集、验证集和训练集的过程中出现的主要问题。提出了一种基于聚类的方法来增加训练集的熵。研究了Kohonen自组织映射(SOM)作为一种有效的聚类方法。在此基础上,对不同维度的因子空间进行聚类,形成具有代表性的样本。为了验证我们的方法,我们合成了MLP神经网络并对其进行了训练。对聚类和非聚类形成的集合进行训练。结果表明,所考虑的方法会影响训练集熵的增加,从而导致因子空间小维的MLP训练质量的提高。
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Kohonen self-organizing map application to representative sample formation in the training of the multilayer perceptron

In this paper, we have considered the issue of effectively forming a representative sample for training the neural network of the multilayer perceptron (MLP) type. The main problems arising in the process of the factor space division into the test, validation and training sets were formulated. An approach based on the use of clustering that allowed to increase the entropy of the training set was put forward. Kohonen's self-organizing maps (SOM) were examined as an effective clustering procedure. Based on such maps, the clustering of factor spaces of different dimensions was carried out, and a representative sample was formed. To verify our approach we synthesized the MLP neural network and trained it. The training technique was performed with the sets formed both with and without clustering. The approach under consideration was concluded to have an influence on the increase in the entropy of the training set and (as a result) to lead to the quality improvement of MLP training with the small dimension of the factor space.

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