Convergence proofs IV: My journey with automatic proof generators

Post by Yifan Sun In comparison to past posts, this post is really about some (relatively) recent work by a bunch of people ([1],[2],[3] to name a few). I therefore tried to spend a lot less time detailing how these things work, as these authors have posted their own excellent blog posts and presentations; however, … Continue reading Convergence proofs IV: My journey with automatic proof generators

Convergence proofs II: (simple) estimate sequences

Post by Yifan Sun tl;dr: Estimate sequences are a very interesting way of isolating the problem of finding rates over a wide family of unconstrained problems, and can also be used to generate accelerated methods. However it's unclear whether they can easily be used on non-NAG-like methods, at least when restricted to quadratic functions. The … Continue reading Convergence proofs II: (simple) estimate sequences