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Stochastic Context-Free Grammars -- Haven't been applied to this problem yet (as far as I know).
Conditional Random Fields -- This is the approach of ParsCit, FreeCite, etc. They tend to have about 80% accuracy.
Crowd Sourcing Parsing -- Using a game or Mechancial Turk like system, parse and tag some citations.
Programming Contests -- Once we have a large data set of outputs and inputs, we can start asking for programmers to solve the problem in the broader internet community.
Lessons Learned So Far
Parsley will occasionally get stuck in infinite loops when it parses a null string.
Appropriate git branching is necessary to keep main clean and collaborate.
Parsley Grammars can call arbitrary python code, this hasn't fully been taken advantage of yet.