7 papers
Riemannian Shape Analysis of the Corpus Callosum in Kendall Space: Aging and Alzheimer's Disease
Olakunle S. Abawonse, Fatou Fall
The corpus callosum (CC) is a major white-matter structure and a well-established marker of brain aging, but most studies quantify it using scalar summaries that discard its bounda…
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…
Generalized Samorodnitsky noisy function inequalities, with applications to error-correcting codes
Olakunle S. Abawonse, Jan Hazla, Ryan O'Donnell
An inequality by Samorodnitsky states that if is a nonnegative boolean function, and is chosen by randomly including each coor…
An Implemention of Two-Phase Image Segmentation using the Split Bregman Method
Olakunle S. Abawonse, Günay Doğan
In this paper, we describe an implementation of the two-phase image segmentation algorithm proposed by Goldstein, Bresson, Osher in \cite{gold:bre}. This algorithm partitions the d…
On Gelfand and MacPherson's combinatorial formula for Pontrjagin classes
Olakunle Abawonse, Laura Anderson
In 1992 Gelfand and MacPherson gave a local and combinatorial formula for the Pontrjagin classes of a differential manifold. We give an expanded version of their discussion and hig…
Spaces of flattenings of spheres
Olakunle S Abawonse
The spaces of flattenings of a simplicial sphere played a key role in the study of existence and uniqueness of differentiable structures on a simplicial sphere. In this paper, we w…
Triangulations of Grassmannians and flag manifolds
Olakunle S Abawonse
MacPherson conjectured that the Grassmannian has the same homeomorphism type as the combinatorial Grassmannian $\|\mbox{MacP}(2,n)\|$, while Babson p…