On Wed, 12 Aug 2009, Noah Silverman wrote:

Hi,

The answers to my previous question about nominal variables has lead me to a more important question.

What is the "best practice" way to feed nominal variable to an SVM.

As some of the previous posters have already indicated: The data structure for storing categorical (including nominal) variables in R is a "factor".

Your comment about "truly nominal" is wrong. A character variable is a character variable, not necessarily a categorical variable. Categorical means that the answer falls into one of a finite number of known categories, known as "levels" in R's "factor" class.

If you start out from character information:

  x <- c("red", "red", "blue", "green", "blue")

You can turn it into a factor via:

  x <- factor(x, levels = c("red", "green", "blue"))

R now knows how to do certain things with such a variable, e.g., produces useful summaries or knows how to deal with it in regression problems:

  model.matrix(~ x)

which seems to be what you asked for. Moreover, you don't need call this yourself but most regression functions in R will do that for you (including svm() in "e1071" or ksvm() in "kernlab", among others).

In short: Keep your categorical variables as "factor" columns in a "data.frame" and use the formula interface of svm()/ksvm() and you are fine.
Z


For example:
color = ("red, "blue", "green")

I could translate that into an index so I wind up with
color= (1,2,3)

But my concern is that the SVM will now think that the values are numeric in "range" and not discrete conditions.

Another thought would be to create 3 binary variables from the single color variable, so I have:

red = (0,1)
blue = (0,1)
green = (0,1)

A example fed to the SVM would have one positive and two negative values to indicate the color value:
i.e. for a blue example:
red = 0, blue =1 , green = 0

Or, do any of the SVM packages intelligently handle this internally so that I don't have to mess with it. If so, do I need to be concerned about different "translation" of the data if the test data set isn't exactly the same as the training set.
For example:
training data  =  color ("red, "blue", "green")
test data = color ("red, "green")

How would I be sure that the "red" and "green" examples get encoded the same so that the SVM is accurate?

Thanks in advance!!

-N

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