“…For Neural CVs it is difficult to go beyond Theorem 1, since for one thing there will not be a unique γ meta in general. However, for simpler CVs, such as those based on polynomial regression [Assaraf and Caffarel, 1999, Mira et al, 2013, Papamarkou et al, 2014, Friel et al, 2014, South et al, 2022b, it is reasonable to assume a unique γ meta and convexity of the Meta-CV objective around this point. In these scenarios, the following corollary shows that γ is typically close to the minimiser of the task-specific objective functional.…”