Comparison of Flat SOM with Spherical SOM. A Case Study

Comparison of Flat SOM with Spherical SOM. A Case Study
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平面 SOM 与球形 SOM 的比较。

DOI:
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发表时间:
2007
期刊:
影响因子:
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通讯作者:
M. V. Hulle
M. V. Hulle
中科院分区:
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文献类型:
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作者:
D. Brennan;M. V. Hulle

文献摘要

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最近,文献中介绍了几种球形自组织地形图[1-4]。这些贴图是球形或环形的,因此没有边界,例如在传统的SOM算法及其许多版本[5,6],因此不应受到边界效应(边界神经元被较少的神经元包围)的影响。这些球形地图的出现引发了许多问题。也许最重要的问题之一就是与传统的平面地图模型相比,人们可以期望从中获得什么优势?为了对这个基本问题找到满意的答案,作者的目标是通过案例研究的视觉和数值分析来对模型进行详细比较。
Recently, several spherical self-organizing topographic maps have been introduced in the literature [1-4]. The maps are spherical or toroidal, and thus not bounded, as in the case of e.g. the traditional SOM algorithm and its many versions [5,6], and thus should not suffer from the border effect (border neurons are surrounded by less neurons). The emergence of these spherical maps raises a number of questions. Perhaps one of the most significant one is simply what advantage can one expect to gain from them as opposed to the traditional flat map model? To pursue a satisfactory answer to this fundamental question, the authors aim for a detailed comparison of models through visual and numerical analysis of a case study.