3 papers
math.AT2022
Tracking Dynamical Features via Continuation and Persistence
Tamal K. Dey, Michał Lipiński, Marian Mrozek +1
Multivector fields and combinatorial dynamical systems have recently become a subject of interest due to their potential for use in computational methods. In this paper, we develop…
stat.ML2018
Persistence Bag-of-Words for Topological Data Analysis
Bartosz Zieliński, Michał Lipiński, Mateusz Juda +2
Persistent homology (PH) is a rigorous mathematical theory that provides a robust descriptor of data in the form of persistence diagrams (PDs). PDs exhibit, however, complex struct…
stat.ML2018
Persistence Codebooks for Topological Data Analysis
Bartosz Zielinski, Michal Lipinski, Mateusz Juda +2
Persistent homology (PH) is a rigorous mathematical theory that provides a robust descriptor of data in the form of persistence diagrams (PDs) which are 2D multisets of points. The…