26 citations · 42 across the 13 of their papers we have counts for
4 papers · 1 filter
Cofiltrations of spanning trees in multiparameter persistent homology
Fritz Grimpen, Anastasios Stefanou
Given a multiparameter filtration of simplicial complexes, we consider the problem of explicitly constructing generators for the multipersistent homology groups with arbitrary PID…
Stability of the persistence transformation
Gideon Klaila, Anastasios Stefanou, Lena Ranke
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 in var…
Combinatorial Topological Models for Phylogenetic Networks and the Mergegram Invariant
Paweł Dłotko, Jan Felix Senge, Anastasios Stefanou
Mutations of genetic sequences are often accompanied by their recombinations, known as phylogenetic networks. These networks are typically reconstructed from coalescent processes t…
Supervised topological data analysis for MALDI mass spectrometry imaging applications
Gideon Klaila, Vladimir Vutov, Anastasios Stefanou
Background: Matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI MSI) displays significant potential for applications in cancer research, especially in tumo…