1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Mosaics for immersed surface-links
Seonmi Choi, Jieon Kim
The concept of a knot mosaic was introduced by Lomonaco and Kauffman as a means to construct a quantum knot system. The mosaic number of a given knot is defined as the minimum…
Effective data reduction algorithm for topological data analysis
Seonmi Choi, Jinseok Oh, Jeong Rye Park +2
One of the most interesting tools that have recently entered the data science toolbox is topological data analysis (TDA). With the explosion of available data sizes and dimensions,…
Marked Graph Mosaics
Seonmi Choi, Sam Nelson
We consider the notion of mosaic diagrams for surface-links using marked graph diagrams. We establish bounds, in some cases tight, on the mosaic numbers for the surface-links with…
On invariants for surface-links in entropic magmas via marked graph diagrams
Seonmi Choi, Seongjeong Kim
M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman b…
Non-orientable surfaces in 4-dimensional space
Yongju Bae, J. Scott Carter, Seonmi Choi +1
This article is a survey article that gives detailed constructions and illustrations of some of the standard examples of non-orientable surfaces that are embedded and immersed in 4…