论文标题
燃烧的鼠尾草:在高维数据的可视化中扭转维度的诅咒
Burning sage: Reversing the curse of dimensionality in the visualization of high-dimensional data
论文作者
论文摘要
在高维数据分析中,维度原因的诅咒倾向于远离分布中心和高维空间边缘。与此相反的是,预计的数据倾向于在中心汇合。这有一种感觉,即在投影中心附近的任何结构都被遮盖了,无论这是真的。本文定义了逆转诅咒的转换,该论文使用投影数据上的径向转换。它被无缝集成到Grand Tour算法中,我们称其为燃烧的鼠尾草之旅,以表明它逆转了诅咒。这项工作已在R中的TOURR包中实施。其中包括一些案例研究,以表明鼠尾草可视化如何增强探索性聚类和分类问题。
In high-dimensional data analysis the curse of dimensionality reasons that points tend to be far away from the center of the distribution and on the edge of high-dimensional space. Contrary to this, is that projected data tends to clump at the center. This gives a sense that any structure near the center of the projection is obscured, whether this is true or not. A transformation to reverse the curse, is defined in this paper, which uses radial transformations on the projected data. It is integrated seamlessly into the grand tour algorithm, and we have called it a burning sage tour, to indicate that it reverses the curse. The work is implemented into the tourr package in R. Several case studies are included that show how the sage visualizations enhance exploratory clustering and classification problems.