Abstract: Community detection is a long-standing problem with applications from social networks to biology. Given its popularity and that it is NP-complete, heuristics abound, though no gold standard exists. In this talk, I will introduce an entirely novel, graphlet-based algorithm for community detection: given an edge density…

Abstract: Language models excel at producing fluent text, but in domains like code and math, fluency isn’t enough --- outputs must obey strict syntactic and semantic rules. A new wave of research is rethinking decoding itself: not as a process of sampling words, but as a negotiation between probability, structure, and meaning. In…