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SoftForestPredDepth3 = function(trainresponse, train, test, num.features, ntry, keep = FALSE)
{
stopifnot(is.vector(trainresponse))
if(sum(is.data.frame(train), is.matrix(train)) != 1) stop("Training data must be matrix or data frame.")
if(sum(is.data.frame(test), is.matrix(test)) != 1) stop("Test data must be matrix or data frame.")
stopifnot(is.numeric(num.features))
stopifnot(length(num.features) == 1)
stopifnot(is.numeric(ntry))
stopifnot(length(ntry) == 1)
Response01 = BestForestSplit(trainresponse, train, num.features, ntry)
Response11 = BestForestSplit(trainresponse, train, num.features, ntry, weights = Response01$weights0)
Response12 = BestForestSplit(trainresponse, train, num.features, ntry, weights = Response01$weights1)
Response21 = BestForestSplit(trainresponse, train, num.features, ntry, weights = Response01$weights0*Response11$weights0)
Response22 = BestForestSplit(trainresponse, train, num.features, ntry, weights = Response01$weights0*Response11$weights1)
Response23 = BestForestSplit(trainresponse, train, num.features, ntry, weights = Response01$weights1*Response11$weights0)
Response24 = BestForestSplit(trainresponse, train, num.features, ntry, weights = Response01$weights1*Response11$weights1)
Predweight01 = as.numeric(inv.logit(Response01$fit$coefficients[1] + Response01$fit$coefficients[2]*test[,Response01$Feature]))
Predweight11 = as.numeric(inv.logit(Response11$fit$coefficients[1] + Response11$fit$coefficients[2]*test[,Response11$Feature]))
Predweight12 = as.numeric(inv.logit(Response12$fit$coefficients[1] + Response12$fit$coefficients[2]*test[,Response12$Feature]))
Predweight21 = as.numeric(inv.logit(Response21$fit$coefficients[1] + Response21$fit$coefficients[2]*test[,Response21$Feature]))
Predweight22 = as.numeric(inv.logit(Response22$fit$coefficients[1] + Response22$fit$coefficients[2]*test[,Response22$Feature]))
Predweight23 = as.numeric(inv.logit(Response23$fit$coefficients[1] + Response23$fit$coefficients[2]*test[,Response23$Feature]))
Predweight24 = as.numeric(inv.logit(Response24$fit$coefficients[1] + Response24$fit$coefficients[2]*test[,Response24$Feature]))
Prediction = (1-Predweight01)*(1-Predweight11)*Predweight21 + (1-Predweight01)*Predweight11*Predweight22 + Predweight01*(1-Predweight12)*Predweight23 + Predweight01*Predweight12*Predweight24
if(keep == FALSE) return(Prediction)
if(keep == TRUE) return(list(Prediction = Prediction, AllFeatures = cbind(Response01$Feature, Response11$Feature, Response12$Feature, Response21$Feature, Response22$Feature, Response23$Feature, Response24$Feature), AllWeights = cbind(Predweight01, Predweight11, Predweight12, Predweight21, Predweight22, Predweight23, Predweight24)))
}
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