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.

Vol. 81, No. 1, Special issue Statistics on non-Euclidean Spaces and Manifolds (February 2019), pp. 244-271 (28 pages) Statistical analysis on object data presents many challenges. Basic summaries ...

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 ...

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 ...

The persistent homology of a stationary point process on RN is studied in this paper. As a generalization of continuum percolation theory, we study higher dimensional topological features of the point ...