[chriswarbo]

Cilibrasi's "Statistical Inference through Data Compression" is pretty cool. One nice application was using compression to infer the mutual-information between DNA from different animals, and using that to construct evolutionary trees.

Edit: I see your arxiv link is to the same thing (although I have a hard-copy of the book based on their thesis, so didn't spot it immediately)

[sischoel]

Thanks, I had not seen that dissertation yet, it has much more information than that arxiv link - here is a a pdf of that dissertation that google gave me: https://www.illc.uva.nl/Research/Publications/Dissertations/...

Although strictly speaking the idea with the evolutionary trees is a bit older, as far as I know it is from https://arxiv.org/pdf/cs/0111054.pdf