3 papers
cs.CG2026
Denoising data reduction algorithm for Topological Data Analysis
Seonmi Choi, Semin Oh, Jeong Rye Park +1
Persistent homology is a central tool in topological data analysis, but its application to large and noisy datasets is often limited by computational cost and the presence of spuri…
math.GT2025
Folding Branched Covers of the -Sphere Branched over Knots
J. Scott Carter, Seonmi Choi, Byeorhi Kim
A folding of a branched cover of the 3-sphere that is branched over a knot is a continuous map of the cover into the product of the sphere with a disk that has the property that th…
math.GT2024
MC-Biquandles and MC-Biquandle Coloring Quivers
Seonmi Choi, Sam Nelson
We introduce the notion of mc-biquandles, algebraic structures which have possibly distinct biquandle operations at single-component and multi-component crossings. These structures…