The neural ideal was introduced by Curto, Itskov, et al in 2013 to study the firing pattern of a set of neurons (called a neural code), turning problems in neuroscience and coding theory into algebraic questions. They also introduced the canonical form of a neural ideal, a set of pseudomonomial generators uniquely tied to the original neural code. In this talk I will describe a simple criterion for determining whether a neural ideal is in canonical form, and use it to give an improved algorithm for computing the canonical form of a neural ideal. This work is joint with Hugh Geller.
Canonical forms of neural ideals
Rebecca R.G., George Mason UniversityAuthors: Hugh Geller, Rebecca R.G.
2023 AWM Research Symposium
Combinatorial and Homological Methods in Commutative Algebra [Organized by Francesca Gandini and Selvi Kara]