Local Factor Graph Debate

Stephan Wäldchen, Dmitry Vaintrob, and many others have contributed excellent ideas to this post. More detailed statements and proofs can be found here. Codex and Claude generated all proofs, I've summarized the results and ideas here.I've been studying unstructured debate over factor graphs, following up on a previous formulation of this problem. I can prove that the error of unstructured debate decays as a power-law with respect to the length of the debate for certain families of weakly-couple...