Ontology highlight
ABSTRACT:
SUBMITTER: Curto C
PROVIDER: S-EPMC6750060 | biostudies-literature | 2019 Sep
REPOSITORIES: biostudies-literature
Curto Carina C Gross Elizabeth E Jeffries Jack J Morrison Katherine K Rosen Zvi Z Shiu Anne A Youngs Nora N
Journal of pure and applied algebra 20181214 9
A <i>convex code</i> is a binary code generated by the pattern of intersections of a collection of open convex sets in some Euclidean space. Convex codes are relevant to neuroscience as they arise from the activity of neurons that have convex receptive fields. In this paper, we use algebraic methods to determine if a code is convex. Specifically, we use the <i>neural ideal</i> of a code, which is a generalization of the <i>Stanley-Reisner ideal</i>. Using the neural ideal together with its stand ...[more]