Showing math.COShow all
3 papers · 1 filter
math.CO2023
Using oriented matroids to find low rank structure in presence of nonlinearity
Caitlin Lienkaemper
Estimating the linear dimensionality of a data set in the presence of noise is a common problem. However, data may also be corrupted by monotone nonlinear distortion that preserves…
math.CO2020
Order-forcing in Neural Codes
R. Amzi Jeffs, Caitlin Lienkaemper, Nora Youngs
Convex neural codes are subsets of the Boolean lattice that record the intersection patterns of convex sets in Euclidean space. Much work in recent years has focused on finding com…
math.CO2018
Geometry, combinatorics, and algebra of inductively pierced codes
Caitlin Lienkaemper
Convex neural codes are combinatorial structures describing the intersection pattern of a collection of convex sets. Inductively pierced codes are a particularly nice subclass of n…