A Topological Data Analysis Study on Murine Pulmonary Arterial Trees with Pulmonary Hypertension

no code implementations • 13 Oct 2022 • Megan Chambers, Natalie Johnston, Ian Livengood, Miya Spinelli, Radmila Sazdanovic, Mette S Olufsen

Results show that HPH trees have higher depth and that the directional complexities correlate with branch number, except for trees pruned by vessel radius, where the left and anterior complexity are lower compared to control trees.

Topological Data Analysis

Mapper-type algorithms for complex data and relations

1 code implementation • 2 Sep 2021 • Paweł Dłotko, Davide Gurnari, Radmila Sazdanovic

Mapper and Ball Mapper are Topological Data Analysis tools used for exploring high dimensional point clouds and visualizing scalar-valued functions on those point clouds.

Topological Data Analysis Vocal Bursts Type Prediction

Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial

1 code implementation • 20 Dec 2019 • Jesse S F Levitt, Mustafa Hajij, Radmila Sazdanovic

We examine the structure and dimensionality of the Jones polynomial using manifold learning techniques.