trop.Volume {TML} | R Documentation |
Estimate the volume of a tropical polytope
Description
This function uses tropical HAR with a uniform target distribution to estimate the volume of a tropical polytope
Usage
trop.Volume(B, P, x0, s, I, r)
Arguments
B |
matrix of points defining a minimum enclosing ball for a polytope P; rows are the points |
P |
matrix of points defining a tropical polytope; rows are the points |
x0 |
initial point used for the HAR sampler |
s |
number of points to sample from the minimum enclosing ball |
I |
number of iterations for the HAR sampler |
r |
radius of the minimum enclosing tropical ball |
Value
list containing ratio of points falling in P; volume of the tropical ball; volume estimate of P
Author(s)
David Barnhill david.barnhill@nps.edu
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(0,0,0,0,3,1,0,2,5),3,3,TRUE)
BR<-min_enc.ball(P)
B<-trop.bal.vert(BR[[1]],BR[[2]])
x0<-c(0,1.5,.4)
S<-200
I<-50
R<-BR[[2]]
trop.Volume(B,P,x0,S,I,R)