人工神经网络与因子分析在健康与糖尿病受试者高维体脂地形数据低维分类中的比较

Erwin Tafeit , Reinhard Möller , Karl Sudi , Gilbert Reibnegger
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引用次数: 11

摘要

利用新型光学装置脂肪计测量了590名健康受试者在15个特定身体部位的皮下脂肪组织厚度,提供了一组高维且部分高度相关的数据,这些数据之前已通过因子分析进行了分析。N-2-N反向传播神经网络作为一种特殊的应用,能够对高维数据进行低维显示。我们报告了这种15-2-15网络的性能,并将其结果与因子分析的输出进行了比较。作为验证的测试数据,我们使用了确诊为II型糖尿病(NIDDM)的女性的测量值。令人惊讶的是,我们的15-2-15神经网络能够非常精确地再现因子分析产生的分类模式。在提取网络权重后,神经网络对新主题的分类比因子分析更加简单。此外,网络权重能够很好地将高度相关的身体部位聚类到不同的组中,对应人体的不同区域。因此,对这些权重的分析提供了关于数据结构的附加信息。因此,N-2-N网络似乎是分析具有强相关性的高维数据的一种很好的替代方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Artificial Neural Networks Compared to Factor Analysis for Low-Dimensional Classification of High-Dimensional Body Fat Topography Data of Healthy and Diabetic Subjects

Subcutaneous adipose tissue thickness was measured in 590 healthy subjects at 15 specific body sites by means of the new optical device, lipometer, providing a high-dimensional and partly highly intercorrelated set of data, which had been analyzed by factor analysis previously. N-2-N back-propagation neural networks are able to perform low-dimensional display of high-dimensional data as a special application. We report about the performance of such a 15-2-15 network and compare its results with the output of factor analysis. As test data for verification, measurement values on women with proven diabetes mellitus type II (NIDDM) are used. Surprisingly our 15-2-15 neural network is able to reproduce the classification pattern resulting from factor analysis very precisely. After extracting the network weights the classification of new subjects is even more simple with the neural network as compared with factor analysis. In addition, the network weights are able to cluster highly correlated body sites nicely to different groups, corresponding to different regions of the human body. Thus, the analysis of these weights provides additional information about the structure of the data. Therefore, N-2-N networks seem to be a good alternative method for analyzing high-dimensional data with strong intercorrelation.

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