Is algebraic statistics nonsense or useful?

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glaucousNoise
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Hi all,

I've been thinking about bioinformatic and biophysical problems, and have noticed that notions of symmetry keep cropping up. An obvious example would be protein conformational change, since the correlations between atoms induce reductions in the entropy of the system via degeneracy (although this is too unwieldy to exploit it seems). However I was wondering if this principle applied to even larger scale biological systems. In poking around the interwebs, I found this very dense and curious paper by Sturmfels:

http://arxiv.org/abs/0904.4529

as well as this more theory oriented paper by him and Lior Pachter:

http://www.pnas.org/content/101/46/16132.short

I don't have the background to understand this stuff. I wanted to know if anybody thought there was anything to it, or if it is just another useless method.
 
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intriguing, not exactly what I was looking for but interesting all the same
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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