emd<-function(inv_data,wasserstein_tyep='2',method='networkflow'){
#method = c("networkflow", "shortsimplex", "revsimplex","primaldual")
inv_data = as.matrix(inv_data)
N=nrow(inv_data)
pp=ncol(inv_data)
design<-sobol(N, dim = pp, init = TRUE, scrambling = 1)
mass=matrix(1/N,nrow=1,ncol=N)
mass_a=as.vector(mass)
mass_b=as.vector(mass)
Rcpp::sourceCpp('R/costfunction.cpp')
cost_ab=costfunction(inv_data,design,as.integer(wasserstein_tyep))
ot_plan=transport(mass_a,mass_b,cost_ab,method)
result=design[ot_plan[ ,2],]
return (result)
}
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