#' predict.Immigrate
#'
#' This function performs the predition for Immigrate(Iterative Max-Min Entropy Margin-Maximization with Interaction Terms) algorithm.
#' @param object result of Immigrate algorithm
#' @param xx model matrix of explanatory variables
#' @param yy label vector
#' @param newx new model matrix to be predicted
#' @param sig sigma used in prediction function, default to be 1. Refer to the prediction function in the link below for more details
#' @param type the form of final output, default to be "both". One can also choose "response"(predicted probabilities) or "class"(predicted labels).
#' @param ... further arguments passed to or from other methods
#' @keywords predict the label of new data based on Immigrate
#' @return \item{response}{predicted probabilities for new data (newx)}
#' @return \item{class}{predicted class labels for new data (newx)}
#' @importFrom stats predict
#' @export
#' @examples
#' data(park)
#' xx<-park$xx
#' yy<-park$yy
#' index<-c(1:floor(nrow(xx)*0.3))
#' train_xx<-xx[-index,]
#' test_xx<-xx[index,]
#' train_yy<-yy[-index]
#' test_yy<-yy[index]
#' re<-Immigrate(train_xx,train_yy)
#' res<-predict(re,train_xx,train_yy,test_xx,type="class")
#' print(res)
#' @references Zhao, Ruzhang, Pengyu Hong, and Jun S. Liu. "IMMIGRATE: A Margin-based Feature Selection Method with Interaction Terms." Entropy 22.3 (2020): 291.
#' @seealso Please refer to \url{https://www.mdpi.com/1099-4300/22/3/291/htm} for more details.
#' @seealso Please refer to \url{https://github.com/RuzhangZhao/Immigrate/} for implementation demo.
predict.Immigrate<-function(object,xx,yy,newx,sig = 1, type = "both",...){
TYPES <- c("both","response","class")
typeIdx <- pmatch(type, TYPES)
if (is.na(typeIdx)){
stop("Invalid type")
}
yy<-as.numeric(yy)
if ((!(is.matrix(newx)))&length(newx)==ncol(xx)){
newx<-matrix(newx,nrow = 1)
}
if (ncol(xx) != ncol(newx)){
stop("xx and newx have different lengths of explanatory variables")
}
if(is.list(object)){
w<-object$w
}else{
w<-object
}
label<-unique(yy)
v<-sapply(c(1:length(label)),function(j){
sapply(c(1:nrow(newx)), function(i){
yyy<-abs(yy-label[j])
y<-rep(0,length(yyy))
y[which(yyy==0)]<-1
tmp<-matrix((y)*exp(-(rowSums(crossprod(abs(t(xx)-as.numeric(newx[i,])),w)*
t(abs(t(xx)-as.numeric(newx[i,]))))/sig) ))[,1]
s<-sum(tmp)
if(s!=0) tmp<-tmp/s
rowSums(crossprod(abs(t(xx)-as.numeric(newx[i,])),w)*
t(abs(t(xx)-as.numeric(newx[i,]))))%*%tmp
})
})
if (nrow(newx)==1){
v<-v/sum(v)
pred<-label[which.min(v)]
}else{
myfun<-sapply(c(1:nrow(newx)), function(i){
v[i,]<<-v[i,]/sum(v[i,])
})
pred<-sapply(c(1:nrow(newx)),function(i){
label[which.min(v[i,])]
})
}
if (type == "both"){
newList<-list("class"=pred,"prob"=v)
return(newList)
}else if(type == "response"){
return(v)
}else if(type == "class"){
return(pred)
}else{
stop("use wrong type")
}
}
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