3 problems

Homeomorphic reconstruction conjecture. The reconstructed dynamics might be homeomorphic to the original dynamics at a lower dimension than that needed for a diffeomorphically corr…

Active-information-storage parameter-selection conjecture. Parameters that maximize $\mathcal{A}_\tau$ also maximize forecast accuracy for LMA, for both maps and flows.

Low-dimensional topological correctness conjecture. One reason prediction in projection works is that topology becomes correct at much lower embedding dimensions than those expecte…