2020/09/23 by Ursula Laa, Dianne Cook, Laa, Ursula +3 · 2 citations
Computer Science · #Computation (stat.CO) #Data Analysis with R #Data Visualization and Analytics #FOS: Computer and information sciences
paper · pdf · doi:10.48550/arxiv.2009.10979
openalex publication_date 2020/09/23 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
In high-dimensional data analysis the curse of dimensionality reasons that\npoints tend to be far away from the center of the distribution and on the edge\nof high-dimensional space. Contrary to this, is that projected data tends to\nclump at the center. This gives a sense that any structure near the center of\nthe projection is obscured, whether this is true or not. A transformation to\nreverse the curse, is defined in this paper, which uses radial transformations\non the projected data. It is integrated seamlessly into the grand tour\nalgorithm, and we have called it a burning sage tour, to indicate that it\nreverses the curse. The work is implemented into the tourr package in R.\nSeveral case studies are included that show how the sage visualizations enhance\nexploratory clustering and classification problems.\n