Using gzip As A Spam Filter
captainclever writes "Kuro5hin have an interesting article on detecting spam using gzip." Here's a sample: "Loosely speaking, the LZ (Zip) and the related gzip compression algorithms look for repeated strings within a text, and replace each repeat with a reference to the first occurrence. The compression ratio achieved therefore measures how many repeated fragments, words or phrases occur in the text."
This article will make much more sense if you look at the raw data in tabular form.
http://www.paulgraham.com/spam.html
http://www.archive.org/details/ThePowerOfNightmares
The scheme described in the article is not Bayesian at all. It's more like a very crude hash comparison. If two similar messages are concatenated, they should compress very well. If two dissimilar messages are concatenated, they will not compress as well.
An actual Bayesian filter would perform a statistical analysis of an existing body of spam and non-spam messages, identify key words or phrases that identify a message as spam or non-spam, and calculate the probability for every key word that a message containing that word is spam. Then every new message is classified as spam or non-spam by running a statistical analysis on its content, and the statistics of that message update and improve the probability model.
"It take 9 months to bear a child, no matter how many women you assign to the job."
There was a paper published in PRL a couple of years ago that wanted to identify languages using gzip (Benedetto et al: Language Trees and Zipping). It sure sounded cool, but was quickly forgotten when Joshua Goodman took a closer look (link is down at the moment, probably IIS, Text version in Google Cache).
Several knowledgeable people pointed out that the first try was limited by gzip's 32k window size, so I did a quick run with bzip2, which uses a 900k block, and put the results here. Somewhat different, but still a spread between spam/ham.
And, of course, do try this at home.
---- "If we have to go on with these damned quantum jumps, then I'm sorry that I ever got involved" - Erwin Schrodinger