I am trying to run the naiveBayes classifier from the R package e1071. I am running into an issue where the time it takes to predict takes longer than the time it takes to train, by a factor of ~300.
I was wondering if anyone else has observed this behavior and, if so, if you have any suggestions on how to improve it.
This issue appears only in some instances. Below, I have code that trains and predicts the NB classifier on the Iris dataset. Here the training and prediction times match up quite closely (prediction takes 10x longer instead of 300x longer). The only other trace of this issue that I could find online is here. In that instance, the answer was to make sure that categorical variables are formatted as factors. I have done this, but still don't see any improvement.
I have played around with the sample size N and the problem seems to be lessened as N decreases. Perhaps this is intended behavior of the algorithm? Decreasing N by a factor of 10 causes the prediction to be only 150x slower, but increasing by a factor of 10 yields a similar slowdown of 300x. These numbers seem crazy to me, especially because I've used this algorithm in the past on datasets with ~300,000 examples and found it to be quite fast. Something seems fishy but I can't figure out what.
I'm using R version 3.3.1 on Linux. The e1071 package is up-to-date (2015 release).
The code below should be reproducible on any machine. FYI my machine timed the Iris classification at 0.003s, the Iris prediction at 0.032s, the simulated data classification at 0.045s, and the resulting prediction at 15.205s. If you get different numbers than these, please let me know as it could be some issue on my local machine.
# Remove everything from the environment and clear out memory
rm(list = ls())
gc()
# Load required packages and datasets
require(e1071)
data(iris)
# Custom function: tic/toc function to time the execution
tic <- function(gcFirst = TRUE, type=c("elapsed", "user.self", "sys.self"))
{
type <- match.arg(type)
assign(".type", type, envir=baseenv())
if(gcFirst) gc(FALSE)
tic <- proc.time()[type]
assign(".tic", tic, envir=baseenv())
invisible(tic)
}
toc <- function()
{
type <- get(".type", envir=baseenv())
toc <- proc.time()[type]
tic <- get(".tic", envir=baseenv())
print(toc - tic)
invisible(toc)
}
# set seed for reproducibility
set.seed(12345)
#---------------------------------
# 1. Naive Bayes on Iris data
#---------------------------------
tic()
model.nb.iris <- naiveBayes(Species~Sepal.Length+Sepal.Width+Petal.Length+Petal.Width,data=iris)
toc()
tic()
pred.nb.iris <- predict(model.nb.iris, iris, type="raw")
toc()
#---------------------------------
# 2. Simulate data and reproduce NB error
#---------------------------------
# Hyperparameters
L <- 5 # no. of locations
N <- 1e4*L
# Data
married <- 1*(runif(N,0.0,1.0)>.45)
kids <- 1*(runif(N,0.0,1.0)<.22)
birthloc <- sample(1:L,N,TRUE)
major <- 1*(runif(N,0.0,1.0)>.4)
exper <- 15+4*rnorm(N)
exper[exper<0] <- 0
migShifter <- 2*runif(N,0.0,1.0)-1
occShifter <- 2*runif(N,0.0,1.0)-1
X <- data.frame(rep.int(1,N),birthloc,migShifter,occShifter,major,married,kids,exper,exper^2,exper^3)
colnames(X)[1] <- "constant"
rm(married)
rm(kids)
rm(birthloc)
rm(major)
rm(exper)
rm(occShifter)
# Parameters and errors
Gamma <- 15*matrix(runif(7*L), nrow=7, ncol=L)
eps <- matrix(rnorm(N*L, 0, 1), nrow=N, ncol=L)
# Deterministic portion of probabilities
u <- matrix(rep.int(0,N*L), nrow=N, ncol=L)
for (l in 1:L) {
u[ ,l] = (X$birthloc==l)*Gamma[1,l] +
X$major*Gamma[2,l] + X$married*Gamma[3,l]
X$kids*Gamma[4,l] + X$exper*Gamma[5,l]
X$occShifter*Gamma[6,l] + X$migShifter*X$married*Gamma[7,l]
eps[ ,l]
}
choice <- apply(u, 1, which.max)
# Add choice to data frame
dat <- cbind(choice,X)
# factorize categorical variables for estimation
dat$major <- as.factor(dat$major)
dat$married <- as.factor(dat$married)
dat$kids <- as.factor(dat$kids)
dat$birthloc <- as.factor(dat$birthloc)
dat$choice <- as.factor(dat$choice)
tic()
model.nb <- naiveBayes(choice~birthloc+major+married+kids+exper+occShifter+migShifter,data=dat,laplace=3)
toc()
tic()
pred.nb <- predict(model.nb, dat, type="raw")
toc()
