This talk will describe two extensions to persistent homology, zigzag persistent homology and well groups, and how all three relate to each other, through a Mayer--Vietoris pyramid, when the input data is a real-valued function.
Speaker(s)
Dmitriy Morozov
BIDS Alum – Data Science Fellow
Dmitriy Morozov is a research scientist in the Computational Research Division of the Lawrence Berkeley National Laboratory (LBNL). After completing his PhD in computer science at Duke University, he was a postdoctoral scholar in the Departments of Computer Science and Mathematics at Stanford University and later LBNL. Dmitriy’s work is concerned with geometric and topological data analysis, especially with the development of efficient algorithms and software in this field.