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Gradient-based SOM clustering and visualisation methods

机译:基于梯度的SOM聚类和可视化方法

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Data clustering has been a major research and application topic in data mining. The self-organizing map (SOM) has been widely applied to tasks including multivariate data visualization and clustering. SOM not only quantizes the input data but also enables visual display of data, a property that does not exist in most clustering algorithms. In the past decade many developments have reported towards to mining useful information from a trained map. Most of them use post-processing methods in a two- or three-step procedure to enable finding clusters as contiguous regions on the map. The basic assumption relies on the data density approximation by the neurons through the unsupervised learning. By analyzing neighboring neurons and their relations and activities it is possible to draw, in many cases, the geometry of clusters. This paper discusses issues related to SOM clustering and segmentation with morphological image processing methods, such as filtering and watershed transform. It also briefly reviews SOM clustering related literature, such as surface-based and clustering (hierarchical and partitioning) algorithms. A new gradient-based visualization matrix is presented and results of benchmark data sets are described.
机译:数据聚类一直是数据挖掘中的主要研究和应用主题。自组织图(SOM)已广泛应用于包括多元数据可视化和聚类在内的任务。 SOM不仅可以量化输入数据,还可以可视化显示数据,这是大多数聚类算法中不存在的属性。在过去的十年中,许多发展报告了从经过训练的地图中挖掘有用信息的过程。他们中的大多数人使用两步或三步过程来使用后处理方法,以便能够在地图上找到作为连续区域的聚类。基本假设依赖于神经元通过无监督学习得出的数据密度近似值。通过分析邻近的神经元及其关系和活动,在许多情况下可以绘制簇的几何形状。本文讨论了与形态图像处理方法(例如滤波和分水岭变换)的SOM聚类和分割有关的问题。它还简要回顾了SOM聚类的相关文献,例如基于表面的聚类(分层和分区)算法。提出了一个新的基于梯度的可视化矩阵,并描述了基准数据集的结果。

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