rounding: Remove all tentacles from a tropical simplex

In TML: Tropical Geometry Tools for Machine Learning

Remove all tentacles from a tropical simplex

Description

This function removes all tentacles from a tropical simplex. The remaining portion is a full-dimensional tropical polytope known as the trunk of the tropical polytope.

Usage

rounding(P)

Arguments

P	matrix of points defining a tropical simplex. Rows are the points

Value

matrix of points defining only the full-dimensional element (the trunk) of a tropical polytope; rows are points

Author(s)

David Barnhill [e-mail]

References

Barnhill, David, Ruriko Yoshida and Keiji Miura (2023). Maximum Inscribed and Minimum Enclosing Tropical Balls of Tropical Polytopes and Applications to Volume Estimation and Uniform Sampling.

Examples

P<-matrix(c(0,-1,1,0,0,0,0,1,-1),3,3,TRUE)
BP<-min_enc.ball(P)
RP<-rounding(P)
BRP<-min_enc.ball(RP)

TML documentation built on Sept. 11, 2024, 6:19 p.m.