Topology-preserving dimensionality reduction via interleaving optimization
BJ Nelson, Y Luo - arXiv preprint arXiv:2201.13012, 2022 - arxiv.org
Dimensionality reduction techniques are powerful tools for data preprocessing and
visualization which typically come with few guarantees concerning the topological …
visualization which typically come with few guarantees concerning the topological …
Stability of the persistence transformation
G Klaila, A Stefanou, L Ranke - arXiv preprint arXiv:2310.05559, 2023 - arxiv.org
In this paper, we introduce the persistence transformation, a novel methodology in
Topological Data Analysis (TDA) for applications in time series data which can be obtained …
Topological Data Analysis (TDA) for applications in time series data which can be obtained …
[PDF][PDF] RESEARCH STATEMENT: LOCAL COHOMOLOGY, MULTIGRADINGS AND POLYHEDRAL COMBINATORICS
B YU - byeongsuyu.github.io
My area of study is combinatorial commutative algebra. The goal of combinatorial
commutative algebra is to study the interplay between commutative algebra and various …
commutative algebra is to study the interplay between commutative algebra and various …