Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate
The episode discusses the paper "Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate" by Yu, Chen, and Xu. The hosts explain how this paper provides rigorous convergence proofs for Adam in the standard convex setting using variable and operator splitting and a curvature-aware correction. They conclude that this work offers a theoretical foundation for Adam-type methods, leading to better algorithm design.