TML (version 2.3.0)

tropical.centroid.MH: Centroid-based sampling using Metropolis filter

Description

This function samples points on a tropical line segment about a location parameter for a given scale parameter defined in terms of tropical distance

Usage

trop.centroid.MH(D, x0, m, s, n, I = 50, tadd = max)
trop.centroid.MH.square(D, x0, m, s, n, I = 50, tadd = max)

Value

matrix of n sampled points where each point is a row

Arguments

D

matrix of vertices of a tropical polytope; each row is a vertex

x0

initial point for sampler, numeric vector

m

location parameter; numeric vector

s

scale parameter; scalar

n

number of points to sample

I

states in Markov chain

tadd

function; max indicates max-plus addition, min indicates min-plus addition. Defaults to max

Author

David Barnhill

References

Yoshida, Ruriko, Keiji Miura and David Barnhill (2022). Hit and Run Sampling from Tropically Convex Sets.

Examples

D1 <-matrix(c(0,0,0,0,10,0,0,0,10),3,3,TRUE)
D2 <-matrix(c(0,10,10,0,10,0,0,0,10),3,3,TRUE)
x0 <- c(0,0,0)
m1<-c(0,5,5)
m2<-c(0,-1,1)
s<-1
n<-10
trop.centroid.MH(D1, x0, m1, s, n, I=50)
trop.centroid.MH.square(D1, x0,m1, s, n, I=50)
trop.centroid.MH(D2, x0, m1, s, n, I=50,tadd=min)
trop.centroid.MH.square(D2, x0,m2, s, n, I=50,tadd=min)