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arXiv 1407.1201cs.LGcs.NE
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用距离度量学习方法提高自组织映射的性能

Improving Performance of Self-Organising Maps with Distance Metric Learning Method

Warsaw University of Technology(华沙理工大学)

Piotr Płoński, Krzysztof Zaremba

摘要:

自组织映射(SOM)是用于模式识别任务的人工神经网络。与其他架构相比,它们的主要优势在于模型的人类可读性。但是,它们的准确性往往较差。在SOM中,常用的度量是欧氏距离,但在某些问题上,欧氏距离并不是最好的度量方法。在本文中,我们研究的度量变化对SOM的分类问题的性能的影响。为了改变SOM的度量,我们应用了一种距离度量学习方法,即所谓的“大间隔最近邻”。它计算Mahalanobis矩阵,该矩阵确保来自同一类的最近邻点之间的小距离和属于不同类的点之间的大间隔。结果呈现在几个真实的数据集上,例如包含对书面数字、口语字母或面孔的识别。

英文摘要:

Self-Organising Maps (SOM) are Artificial Neural Networks used in Pattern Recognition tasks. Their major advantage over other architectures is human readability of a model. However, they often gain poorer accuracy. Mostly used metric in SOM is the Euclidean distance, which is not the best approach to some problems. In this paper, we study an impact of the metric change on the SOM's performance in classification problems. In order to change the metric of the SOM we applied a distance metric learning method, so-called 'Large Margin Nearest Neighbour'. It computes the Mahalanobis matrix, which assures small distance between nearest neighbour points from the same class and separation of points belonging to different classes by large margin. Results are presented on several real data sets, containing for example recognition of written digits, spoken letters or faces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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