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bayeslm.formula <- function(formula, data = list(), Y = FALSE, X = FALSE, prior = "horseshoe", penalize = NULL, block_vec = NULL, sigma = NULL, s2 = 1, kap2 = 1, N = 20000L, burnin = 0L, thinning = 1L, vglobal = 1, sampling_vglobal = TRUE, verb = FALSE, standardize = TRUE, singular = FALSE, scale_sigma_prior = TRUE, prior_mean = NULL, prob_vec = NULL, cc = NULL, lambda = NULL, ...) {
if (!inherits(formula, "formula")) {
stop("method is only for formula objects")
}
this.call <- match.call()
# mf <- match.call(expand.dots = FALSE)
# cat("mf \n")
# print(mf)
# m <- match(c("formula", "data", "weights", "offset"), names(mf), 0)
# cat("m \n")
# print(m)
# mf <- mf[c(1, m)]
# print(mf)
# mf$drop.unused.levels <- TRUE
# mf$na.action <- na.pass
# mf[[1]] <- as.name("model.frame")
# print(mf)
# m <- mf
# mf <- eval(mf, parent.frame())
# Terms <- attr(mf, "terms")
# Y <- model.response(mf)
# W <- model.weights(mf)
# offset <- model.offset(mf)
# var.names <- attributes(Terms)$term.labels
# X <- model.frame(terms(reformulate(var.names)), data, na.action=na.pass)
# cat("dim ", dim(X), "\n")
mf <- model.frame(formula = formula, data = data)
# m <- match(c("formula", "data", "prior", "penalize", "block_vec", "sigma", "s2", "kap2", "N", "burnin", "thinning", "vglobal", "verb", "icept", "standardize", "singular", "prior_mean", "prob_vec"), names(mf), 0)
# mf <- mf[m]
# m <- mf
# mf <- eval(mf, parent.frame())
X <- model.matrix(attr(mf, "terms"), data = mf)
Xnames <- colnames(X)
Y <- model.response(mf)
if (sum(X[, 1]) == dim(X)[1]) {
X <- X[, -1]
icept <- TRUE
} else {
icept <- FALSE
}
Y <- as.matrix(Y)
X <- as.matrix(X)
if (is.null(NULL)) {
cc <- rep(1, dim(X)[2])
}
if (icept == TRUE) {
cc <- c(1, cc)
}
try(if (dim(Y)[1] != dim(X)[1]) stop("Length of X and Y don't agree."))
# scale the initial value
if (is.null(sigma)) {
sigma <- 0.5 * stats::sd(Y)
}
if (is.null(block_vec)) {
block_vec <- rep(1, dim(X)[2])
}
if (is.null(penalize)) {
penalize <- rep(1, dim(X)[2])
}
prior_type <- 1L
if (prior == "horseshoe") {
if (verb) cat("horseshoe prior \n")
output <- horseshoe_cpp_loop(Y, X, penalize, block_vec, cc, prior_type, sigma, s2, kap2, N, burnin, thinning, vglobal, sampling_vglobal, verb, icept, standardize, singular, scale_sigma_prior)
} else if (prior == "laplace") {
if (verb) cat("laplace prior \n")
output <- blasso_cpp_loop(Y, X, penalize, block_vec, cc, prior_type, sigma, s2, kap2, N, burnin, thinning, vglobal, sampling_vglobal, verb, icept, standardize, singular, scale_sigma_prior)
} else if (prior == "ridge") {
if (verb) cat("ridge prior \n")
output <- bridge_cpp_loop(Y, X, penalize, block_vec, cc, prior_type, sigma, s2, kap2, N, burnin, thinning, vglobal, sampling_vglobal, verb, icept, standardize, singular, scale_sigma_prior)
} else if (prior == "inverselaplace") {
if (verb) cat("inverse Laplace prior \n")
if (is.null(lambda)) {
cat("lambda is missing for inverse Laplace prior. \n")
}
output <- inverseLaplace_cpp_loop(Y, X, lambda, penalize, block_vec, cc, prior_type, sigma, s2, kap2, N, burnin, thinning, vglobal, sampling_vglobal, verb, icept, standardize, singular, scale_sigma_prior)
} else if (prior == "nonlocal") {
if (verb) cat("nonlocal prior \n")
if (is.null(prior_mean) == TRUE) {
cat("prior mean of nonlocal prior is not specified, use default value 1.5 for all coefficients \n")
if (icept == TRUE) {
prior_mean <- rep(0, dim(X)[2] + 1)
} else {
prior_mean <- rep(0, dim(X)[2])
}
}
output <- nonlocal_cpp_loop(Y, X, prior_mean, penalize, block_vec, cc, prior_type, sigma, s2, kap2, N, burnin, thinning, vglobal, sampling_vglobal, verb, icept, standardize, singular, scale_sigma_prior)
} else if (prior == "sharkfin") {
if (verb) cat("sharkfin prior \n")
if (is.null(prob_vec) == TRUE) {
cat("prior parameter q of nonlocal prior is not specified, use default value 0.25 for all coefficients \n")
if (icept == TRUE) {
prob_vec <- rep(0, dim(X)[2] + 1)
} else {
prob_vec <- rep(0, dim(X)[2])
}
}
output <- sharkfin_cpp_loop(Y, X, prob_vec, penalize, block_vec, cc, prior_type, sigma, s2, kap2, N, burnin, thinning, vglobal, sampling_vglobal, verb, icept, standardize, singular, scale_sigma_prior)
} else {
cat("wrong prior \n")
}
N <- dim(output$beta)[1]
if (icept == FALSE) {
fittedvalue <- X %*% matrix(colMeans(output$beta[floor(0.2 * N):N, ]), ncol = 1)
} else {
fittedvalue <- cbind(rep(1, dim(X)[1]), X) %*% matrix(colMeans(output$beta[floor(0.2 * N):N, ]), ncol = 1)
}
residuals <- Y - fittedvalue
attributes(output$sigma)$class <- c("MCMC", "matrix")
attributes(output$vglobal)$class <- c("MCMC", "matrix")
attributes(output$beta)$class <- c("MCMC", "matrix")
attributes(output)$class <- c("bayeslm.fit")
colnames(output$beta) <- Xnames
colnames(output$sigma) <- "sigma"
output$terms <- terms(formula)
output$call <- this.call
output$fitted.value <- fittedvalue
output$residuals <- residuals
output$icept <- icept
return(output)
}
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