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 ...

Topological data analysis (TDA) is a methodology designed to study qualitative properties (shapes) of data using topological, statistical, and computational ideas. This topological framework has ...

The reliability of data storage and writing speed in advanced magnetic devices depend on drastic, complex changes in microscopic magnetic domain structures. However, it is extremely challenging to ...

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 ...

Ayasdi’s collaborators delivered another significant win with Mt. Sinai’s Ichan School of Medicine getting published in the ultra-prestigious journal Science: Translational Medicine for their work ...

Spintronic devices and their operation are governed by the microstructures of magnetic domains. These magnetic domain structures undergo complex, drastic changes when an external magnetic field is ...