标题： 离散数据的投影寻踪 显示英文标题

标题： Projection pursuit for discrete data

摘要： 本文利用离散Radon变换开发了离散数据的投影寻踪方法。 离散投影寻踪被介绍为一种探索性方法，用于寻找数据的有信息的低维视图，如二进制向量、排名、系统发生树或图。 我们表明，对于大多数数据集，大多数投影接近均匀分布。 因此，有信息的摘要是指偏离均匀性的摘要。 使用来自柏拉图几部重要著作中的音节数据来说明这些方法。 除了某些基本分布理论外，还介绍了一种计算有信息投影的自动化程序。 显示英文摘要

摘要： This paper develops projection pursuit for discrete data using the discrete Radon transform. Discrete projection pursuit is presented as an exploratory method for finding informative low dimensional views of data such as binary vectors, rankings, phylogenetic trees or graphs. We show that for most data sets, most projections are close to uniform. Thus, informative summaries are ones deviating from uniformity. Syllabic data from several of Plato's great works is used to illustrate the methods. Along with some basic distribution theory, an automated procedure for computing informative projections is introduced.