Differential geometric properties of textile plot - Tomonari Sei, Ushio Tanaka

[pcardosi]

Authors : Tomonari Sei, Ushio Tanaka
DOI URL : http://dx.doi.org/10.1007/978-3-319-25040-3_78
Video : http://www.youtube.com/watch?v=IpvuWcxHX4M
Slides: Sei_Geometric Properties textile plot.pdf
Presentation : https://www.see.asso.fr/node/14271
Creative Commons Attribution-ShareAlike 4.0 International

Abstract:
The textile plot proposed by Kumasaka and Shibata (2008) is a method for data visualization. The method transforms a data matrix in order to draw a parallel coordinate plot. In this paper, we investigate a set of matrices induced by the textile plot, which we call the textile set, from a geometrical viewpoint. It is shown that the textile set is written as the union of two differentiable manifolds if data matrices are restricted to be full-rank.