Nikolas Schonsheck

collaborators

2 papers

math.AT2025

Dowker's theorem for higher-order relations

Vin de Silva, Chad Giusti, Vladimir Itskov +5

Given a relation $R \subseteq I \times J$ between two sets, Dowker's Theorem (1952) states that the homology groups of two associated simplicial complexes, now known as Dowker comp…

cs.CG2023

$O (k)$ -Equivariant Dimensionality Reduction on Stiefel Manifolds

Andrew Lee, Harlin Lee, Jose A. Perea +2

Many real-world datasets live on high-dimensional Stiefel and Grassmannian manifolds, $V_{k} (R^{N})$ and $G r (k, R^{N})$ respectively, and benefit from projection onto l…

Dowker's theorem for higher-order relations

O(k)-Equivariant Dimensionality Reduction on Stiefel Manifolds

$O (k)$ -Equivariant Dimensionality Reduction on Stiefel Manifolds