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# This is a hidden function of the l2boost package.
# limiting nu size, this comes directly from the RHS of theorem 2 of Ehrlinger and Ishwaran 2012.
#
# @param rho.m vector of stagewise regression parameters
# @param Rk correlation coefficient of current and candidate coordinate directions
# @param lr candidate direction index
#
# @references Ehrlinger and Ishwaran (2012). Characterizing l2boosting. \emph{Annals of Statistics}, 40 (2), 1074-1101
nu.limit <- function(rho.m, Rk, lr) {
Dk <- rho.m/rho.m[lr]
num <- Dk - Rk
return(1 - abs(num)/(1 - Rk * sign(num)))
}
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