Are there interesting/useful applications of cohomology (and homological algebra in general) to probability and statistics, or information theory?
By "interesting/useful", I mean "not merely descriptive", that is, they can actually say something new and not just formalize well known concepts.
For example, I have recently found this paper, which addresses dually flat manifolds (and so, indirectly, information geometry).
Any other examples I have missed?
(Feel free to edit tags appropriately.)