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soft.threshold <- structure(function # Soft-thresholding
### Apply the soft-threshold function to a vector.
(x,
### A vector of numeric data.
lambda=1
### The largest absolute value that will be mapped to zero.
){
stopifnot(lambda>=0)
ifelse(abs(x)<lambda,0,x-sign(x)*lambda)
### The vector of observations after applying
### the soft-thresholding function.
},ex=function(){
x <- seq(-5,5,l=50)
y <- soft.threshold(x)
plot(x,y)
})
.result <-
list(soft.threshold = list(definition = "soft.threshold <- structure(function # Soft-thresholding\n### Apply the soft-threshold function to a vector.\n(x,\n### A vector of numeric data.\n lambda=1\n### The largest absolute value that will be mapped to zero.\n ){\n stopifnot(lambda>=0)\n ifelse(abs(x)<lambda,0,x-sign(x)*lambda)\n### The vector of observations after applying \n### the soft-thresholding function.\n},ex=function(){\n x <- seq(-5,5,l=50)\n y <- soft.threshold(x)\n plot(x,y)\n})",
title = "Soft-thresholding",
format="",
description = "Apply the soft-threshold function to a vector.",
`item{x}` = "A vector of numeric data.",
`item{lambda}`= "The largest absolute value that will be mapped to zero.",
examples = "\nx <- seq(-5,5,l=50)\ny <- soft.threshold(x)\nplot(x,y)\n",
value = "The vector of observations after applying \nthe soft-thresholding function."))
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