exp_map <- function(mapped_values, C){
require(powerplus)
require(expm)
C_star <- Matpow(C, 0.5,1)
C_2star <- Matpow(C, -0.5,1)
orig_space_values <- list()
orig_space_values[[1]] <- C_star%*%expm(C_2star%*%mapped_values%*%C_2star)%*%C_star
return(orig_space_values)
}
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