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## @knitr models
make_sparse_linear_model <- function(n, p, k, snr) {
x <- matrix(rnorm(n * p), n, p)
beta <- rep(c(1, 0), c(k, p - k))
mu <- as.numeric(x %*% beta)
sigma <- sqrt(sum(mu^2) / (n * snr)) # taking snr = ||mu||^2 / (n * sigma^2)
new_model(name = "slm", label = sprintf("n = %s, p = %s, k = %s", n, p, k),
params = list(x = x, beta = beta, mu = mu, sigma = sigma, n = n,
p = p, k = k),
simulate = function(mu, sigma, nsim) {
return(lapply(1:nsim, function(i) mu + sigma * rnorm(n)))
})
}
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