Metric distances derived from cosine similarity and Pearson and Spearman correlations

التفاصيل البيبلوغرافية
العنوان: Metric distances derived from cosine similarity and Pearson and Spearman correlations
المؤلفون: van Dongen, Stijn, Enright, Anton J.
سنة النشر: 2012
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Statistics - Methodology, Computer Science - Learning
الوصف: 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.
Comment: 5 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1208.3145
رقم الأكسشن: edsarx.1208.3145
قاعدة البيانات: arXiv