This work concerns the theoretical foundations of persistence-based topological data analysis. We develop theory of topological inference in the multidimensiona
A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.
Massive amounts of data are now available for study. Asking questions that are both relevant and possible to answer is a difficult task. One can look for someth
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of t
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure
