Hyperplane Neural Codes and the Polar Complex

@inproceedings{Itskov2018HyperplaneNC,
  title={Hyperplane Neural Codes and the Polar Complex},
  author={Vladimir Itskov and Alex Kunin and Zvi Rosen},
  year={2018}
}
Hyperplane codes are a class of convex codes that arise as the output of a one layer feed-forward neural network. Here we establish several natural properties of nondegenerate hyperplane codes, in terms of the polar complex of the code, a simplicial complex associated to any combinatorial code. We prove that the polar complex of a non-degenerate hyperplane… CONTINUE READING