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BCD_Gaussiaon_j <- function(j,dat,Xj_star,C_plus,p.fac, accuracy,lambda1,lambda2,lambda3,theta_hat_j,alpha_hat_j,delta_hat_j,R,n,p){
## Inpute
theta_test_j <- theta_hat_j #previous step's result
alpha_test_j <- alpha_hat_j
delta_test_j <- delta_hat_j
## estimate parameter for jth variable
error <- 100
x_j <- dat[,j]
Xminusj_star <- dat[,-j]
while(error > accuracy){
theta_hat_j <- update_theta(lambda1, x_j, Xj_star, alpha_hat_j, delta_hat_j,Xminusj_star)
alpha_hat_j <- update_alpha(lambda2, x_j, Xminusj_star, theta_hat_j, delta_hat_j,Xj_star)
delta_hat_j <- update_deltaglm(n,R,lambda3,p.fac, C_plus, x_j, Xminusj_star, theta_hat_j, Xj_star, alpha_hat_j)
error <- calculate_error(theta_hat_j, theta_test_j, alpha_hat_j, alpha_test_j, delta_hat_j, delta_test_j) # minimize error, make 'test'(k-1) close to 'hat'(k)
#print(error)
theta_test_j <- theta_hat_j
alpha_test_j <- alpha_hat_j
delta_test_j <- delta_hat_j
}
return(list(theta_hat_j = theta_hat_j, alpha_hat_j = alpha_hat_j, delta_hat_j = delta_hat_j))
}
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