3 papers
math.AC2022
A Generalization of the Ishida Complex with applications
Laura Felicia Matusevich, Erika Ordog, Byeongsu Yu
We construct a generalize Ishida complex to compute the local cohomology with monomial support of modules over quotients of polynomial rings by cellular binomial ideals. As a conse…
math.AC2022
Graded local cohomology of modules over semigroup rings
Byeongsu Yu, Laura Felicia Matusevich
We give a combinatorial description of local cohomology modules of a graded module over a semigroup ring, with support at the graded maximal ideal. This combinatorial framework yie…
stat.ML2021
Shape-Preserving Dimensionality Reduction : An Algorithm and Measures of Topological Equivalence
Byeongsu Yu, Kisung You
We introduce a linear dimensionality reduction technique preserving topological features via persistent homology. The method is designed to find linear projection which preserv…