Embedding dimension gaps in sparse codes
RA Jeffs, H Siegel, D Staudinger, Y Wang - arXiv preprint arXiv …, 2023 - arxiv.org
We study the open and closed embedding dimensions of a convex 3-sparse code $\mathcal
{FP} $, which records the intersection pattern of lines in the Fano plane. We show that the …
{FP} $, which records the intersection pattern of lines in the Fano plane. We show that the …
[PDF][PDF] The algorithm for canonical forms of neural ideals
L Zheng, Y Zhang, J Liu - Electronic Research Archive, 2024 - aimspress.com
To elucidate the combinatorial architecture of neural codes, the neural ideal JC, an
algebraic object, was introduced. Represented in its canonical form, JC provides a succinct …
algebraic object, was introduced. Represented in its canonical form, JC provides a succinct …