arXiv cs.AIPaper
AI-Assisted Discovery and Construction of a Counterexample to the Convergence of Three-Block ADMM with the Identity Matrix as its Third Constraint Block
The mechanism is interesting: model-generated candidate plus verification pipeline. But the paper is really about ADMM theory, not about what this tells us about LLM reasoning or AI-assisted mathematics as a practice. The tool worked here; whether it generalizes to harder open problems remains unstated. Useful data point for people building AI research assistants, but don't over-interpret.