set.seed(315)
n <- 100
p <- 400
x <- matrix(data = rnorm(n * p, mean = 0, sd = 1), nrow = n, ncol = p)
beta_star <- c(c(2, 1.5, 0.8, 1, 1.75, 0.75, 0.3), rep(0, (p - 7)))
eps <- rnorm(n, mean = 0, sd = 1)
y <- x %*% beta_star + eps
tau <- 0.5
lam2 <- 0.01
lambda <- 10^(seq(1,-4, length.out=30))
nc.fit <- nc.hdqr(x=x, y=y, tau=tau, lambda=lambda, lam2=lam2, pen="scad")
nc.preds <- predict(nc.fit, newx = tail(x), s = nc.fit$lambda[3:5])
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