Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Gr\"obner Bases of Toric Ideals of Combinatorial Neural Codes   In the 1970s, O'Keefe and Dostrovsky discovered that certain neurons, called
place cells, in an animal's brain are tied to its location within its arena. A
combinatorial neural code is a collection of $0/1$-vectors which encode the
patterns of co-firing activity among the place cells. Gross, Obatake, and
Youngs have recently used techniques from toric algebra to study when a neural
code is $0$- $1$-, or $2$-inductively pierced: a property that allows one to
reconstruct a Venn diagram-like planar figure that acts as a geometric
schematic for the neural co-firing patterns. This article examines their work
closely by focusing on a variety of classes of combinatorial neural codes. In
particular, we identify universal Gr\"obner bases of the toric ideal for these
codes.

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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: funct-an