Vladimir Itskov (4/9/19): Directed complexes, sequence dimension and inverting a neural network

Title: Directed complexes, sequence dimension and inverting a neural network Abstract: What is the embedding dimension, and more generally, the geometry of a set of sequences? This problem arises in the context of neural coding and neural networks. Here one would like to infer the geometry of a space that is measured by unknown quasiconvex functions. A natural object that captures all the inferable geometric information is the directed complexes (. semi-simplicial sets). It turns out that the embedd