preserving topology during dimension reduction might affect this? something something, fractal dimensionality, erm tropical geometry and amoebas and the, here i

preserving topology during dimension reduction might affect this? something something, fractal dimensionality, erm tropical geometry and amoebas and the, here it is, https://proceedings.mlr.press/v80/zhang18i.html https://proceedings.mlr.press/v80/zhang18i.html Edit, obviously I don't know my zonotope from my tropical hypersurface, I do however like the pretty pictures ;) Here's another good piece of how topology might help work out why some models do better than others; https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1011792 https://journals.plos.org/ploscompbiol/article?id=10.1371/jo... "By computing geometric descriptors of DNNs and performing large-scale model comparisons, we discovered a geometric phenomenon that has been overlooked in previous work: DNN models of high-level visual cortex benefit from high-dimensional latent representations. This finding runs counter to the view that both DNNs and neural systems benefit by compressing representations down to low-dimensional subspaces [20–39, 78]. "