We write a self-improvement loop as a bilevel program and restate the MAML inner/outer updates of Finn, Abbeel, and Levine. Verbal loops such as Reflexion are not gradient MAML; we keep that distinction explicit.
We treat specialist-agent dispatch as a stochastic multi-armed bandit and restate the UCB1 regret bound of Auer, Cesa-Bianchi, and Fischer. The note is an orientation: we do not claim a new LLM-specific theorem.