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Engineering applications of the self-organizing map

机译:自组织图的工程应用

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摘要

The self-organizing map (SOM) method is a new, powerful software tool for the visualization of high-dimensional data. It converts complex, nonlinear statistical relationships between high-dimensional data into simple geometric relationships on a low-dimensional display. As it thereby compresses information while preserving the most important topological and metric relationships of the primary data elements on the display, it may also be thought to produce some kind of abstractions. The term self-organizing map signifies a class of mappings defined by error-theoretic considerations. In practice they result in certain unsupervised, competitive learning processes, computed by simple-looking SOM algorithms. Many industries have found the SOM-based software tools useful. The most important property of the SOM, orderliness of the input-output mapping, can be utilized for many tasks: reduction of the amount of training data, speeding up learning nonlinear interpolation and extrapolation, generalization, and effective compression of information for its transmission.
机译:自组织映射(SOM)方法是一种用于可视化高维数据的功能强大的新软件工具。它将高维数据之间的复杂,非线性统计关系转换为低维显示器上的简单几何关系。由于它在压缩信息的同时保留了显示器上主要数据元素的最重要的拓扑和度量关系,因此也可以认为它会产生某种抽象。术语“自组织映射”表示由错误理论考虑定义的一类映射。在实践中,它们导致某些无监督的竞争性学习过程,这些过程由外观简单的SOM算法计算得出。许多行业发现基于SOM的软件工具很有用。 SOM的最重要属性,即输入输出映射的有序性,可用于许多任务:减少训练数据量,加快学习非线性内插和外推,泛化以及有效压缩信息以进行传输。

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