Topological Data Analysis (TDA) is an innovative framework that utilises principles from algebraic topology to extract intrinsic patterns and structural features from complex, multi‐dimensional data.

Extracting useful information from large data sets can be a daunting task. Topological methods for analysing data sets provide a powerful technique for extracting such information. Persistent homology ...

Mathematical research is aiding in the analysis of fMRI data. fMRI is the preeminent class of signals collected from the brain in vivo and is irreplaceable in the study of brain dysfunction in many ...

Over the past few decades, topology—a branch of mathematics dealing with shapes that can be turned into other shapes by processes like bending and stretching—has evolved from an arcane pursuit into an ...