4 papers
Topology-Informed Survival Analysis of Breast Cancer Patients Using the Mapper Algorithm
Emmanuel Kibisi, Olakunle Abawonse, Donald Woukeng
This study applied a mathematical tool from Topological Data Analysis (TDA), called the Mapper algorithm, to gene expression data from more than 1,000 TCGA-BRCA patients to identif…
Graph Multivector Persistence: A Unified Framework for Dynamic Systems
Donald Woukeng
We introduce a persistence-type invariant for finite weighted graphs based on combinatorial multivector dynamics. For each threshold parameter, a relation matrix determines a graph…
Persistent homology of Morse decomposition in Markov chains based on combinatorial multivector fields
Donald Woukeng
In this paper, we introduce a novel persistence framework for Morse decompositions in Markov chains using combinatorial multivector fields. Our approach provides a structured metho…
From Data to Combinatorial Multivector field Through an Optimization-Based Framework
Dominic Desjardins Côté, Donald Woukeng
This paper extends and generalizes previous works on constructing combinatorial multivector fields from continuous systems (see [10]) and the construction of combinatorial vector f…