From the 1 of 4 linked papers with an AI index.
4 papers
Topology-Informed Survival Analysis of Breast Cancer Patients Using the Mapper Algorithm
Emmanuel Kibisi, Olakunle Abawonse, Donald Woukeng
The paper uses the Mapper algorithm from topological data analysis on TCGA breast cancer gene expression data to uncover molecular patterns that predict patient survival beyond sta…
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…