Nikolas Schonsheck

activity

20152025

most citedSpherical Coordinates from Persistent Cohomology

3 citations · 7 across the 6 of their papers we have counts for

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2 papers · 1 filter

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…

cs.CG2022

Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction

Luis Scoccola, Hitesh Gakhar, Johnathan Bush +4

The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a $1$ -dimensional hole in the…

O(k)-Equivariant Dimensionality Reduction on Stiefel Manifolds

Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction

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