English

Strongly maximal intersection-complete neural codes on grids are convex

Combinatorics 2016-10-20 v1

Abstract

The brain encodes spacial structure through a combinatorial code of neural activity. Experiments suggest such codes correspond to convex areas of the subject's environment. We present an intrinsic condition that implies a neural code may correspond to a convex space and give a bound on the minimal dimension underlying such a realization.

Keywords

Cite

@article{arxiv.1610.06114,
  title  = {Strongly maximal intersection-complete neural codes on grids are convex},
  author = {Robert Williams},
  journal= {arXiv preprint arXiv:1610.06114},
  year   = {2016}
}

Comments

13 pages, 12 figures

R2 v1 2026-06-22T16:25:38.996Z