English

Convex Neural Codes in Dimension 1

Combinatorics 2017-02-23 v1 Neurons and Cognition

Abstract

Neural codes are collections of binary strings motivated by patterns of neural activity. In this paper, we study algorithmic and enumerative aspects of convex neural codes in dimension 1 (i.e. on a line or a circle). We use the theory of consecutive-ones matrices to obtain some structural and algorithmic results; we use generating functions to obtain enumerative results.

Keywords

Cite

@article{arxiv.1702.06907,
  title  = {Convex Neural Codes in Dimension 1},
  author = {Zvi Rosen and Yan X. Zhang},
  journal= {arXiv preprint arXiv:1702.06907},
  year   = {2017}
}

Comments

21 pages, 5 figures

R2 v1 2026-06-22T18:25:35.248Z