2022/10/11 by Ursula Laa, Alex Aumann, Laa, Ursula +5 · 1 citation
Computer Science · Mathematics · #Computation (stat.CO) #FOS: Computer and information sciences #Neural Networks and Applications #Statistical and numerical algorithms #Statistics Education and Methodologies
paper · pdf · doi:10.48550/arxiv.2210.05228
openalex publication_date 2022/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper describes new user controls for examining high-dimensional data using low-dimensional linear projections and slices. A user can interactively change the contribution of a given variable to a low-dimensional projection, which is useful for exploring the sensitivity of structure to particular variables. The user can also interactively shift the center of a slice, for example, to explore how structure changes in local subspaces. The Mathematica package as well as example notebooks are provided, which contain functions enabling the user to experiment with these new manual controls, with one specifically for exploring regions and boundaries produced by classification models. The advantage of Mathematica is its linear algebra capabilities and interactive cursor location controls. Some limited implementation has also been made available in the R package tourr.