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arXiv 2103.09704cs.LGcs.AI
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用于KNN分类的可达距离函数

Reachable Distance Function for KNN Classification

Central South University(中南大学)

Shichao Zhang, Jiaye Li, Yangding Li

摘要:

距离函数是机器学习中度量两个数据点之间相似度的主要度量。在实际应用中,现有的距离函数通常提供不可达的距离值。这可能导致对数据点之间的亲和力的不正确测量。本文提出了一种用于KNN分类的可达距离函数。可达距离函数不是两个数据点之间的几何直线距离。它在测量数据点之间的亲和力时考虑了训练数据集的类属性。具体地说,数据点之间的可达距离包括类中心距离和实距离。它的形状看起来像“Z”,我们也称之为Z距离函数。通过这种方式,同一类中的数据点之间的亲和力总是比不同类中的数据点之间的亲和力更强。或者,组内数据点总是比组间数据点更接近。实验结果表明,该距离函数在KNN分类中具有更好的性能。

英文摘要:

Distance function is a main metrics of measuring the affinity between two data points in machine learning. Extant distance functions often provide unreachable distance values in real applications. This can lead to incorrect measure of the affinity between data points. This paper proposes a reachable distance function for KNN classification. The reachable distance function is not a geometric direct-line distance between two data points. It gives a consideration to the class attribute of a training dataset when measuring the affinity between data points. Concretely speaking, the reachable distance between data points includes their class center distance and real distance. Its shape looks like "Z", and we also call it a Z distance function. In this way, the affinity between data points in the same class is always stronger than that in different classes. Or, the intraclass data points are always closer than those interclass data points. We evaluated the reachable distance with experiments, and demonstrated that the proposed distance function achieved better performance in KNN classification.

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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