In the proof, we used both finite-ness of H and the realizability assumptions in a crucial way. But we already saw one problem where the theorem does not apply, namely learning linear separators, where |H| =∞. Of course it is more common than not that realizability is not satisfied, so we’d also like some sort of guarantee in the absence of realizability. In the next few lectures we will build ...

Abstract This talk pursued the aim to represent solutions of electronic Schrödinger equation as traces higher‐dimensional functions. allows decouple electron‐electron interaction potential but comes at price a degenerate elliptic operator replacing Laplace on space. The surprising observation is that this can without much loss again be substituted by operator, more successful larger system unde...