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CompareL1_L2_TV1 <- function(N,M,per) {
# Part of R1Magic by mehmet.suzen@physics.org
phi <- matrix( rnorm(N * M ), M,N )
xorg <- sparseSignal(N, per*N)
y <- phi %*% xorg
T <- diag(N)
p <- matrix(0,N,1)
ll<-solveL1(phi,y,T,p)
x1<-ll$estimate
ll<-solveL2(phi,y,T,p)
x2<-ll$estimate
ll<-solve1TV(phi,y,T,p)
xtv<-ll$estimate
return( data.frame(xorg,x1,x2,xtv) )
}
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