从余弦相似性和Pearson和Spearman相关性导出的度量距离
Metric distances derived from cosine similarity and Pearson and Spearman correlations
EMBL-EBI（欧洲分子生物学实验室-欧洲生物信息学研究所）
摘要：
我们调查了两类变换的余弦相似性和皮尔逊和斯皮尔曼相关度量距离，利用简单的工具的度量保持功能。第一类把反相关的对象最大限度地远离。以前已知的变换属于这一类。第二类整理相关和反相关对象。产生度量距离的这种变换的一个示例是应用于居中数据时的正弦函数。
英文摘要：
We investigate two classes of transformations of cosine similarity and Pearson and Spearman correlations into metric distances, utilising the simple tool of metric-preserving functions. The first class puts anti-correlated objects maximally far apart. Previously known transforms fall within this class. The second class collates correlated and anti-correlated objects. An example of such a transformation that yields a metric distance is the sine function when applied to centered data.
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。
