Seminarium z Topologii Algebraicznej
Wtorki, 14:30-16:00, sala 4070
What is topological data analysis?
Jan Spalinski
06.12.2016
The talk will be an introduction to topological data analysis - a field of
research on the boarder
of algebraic topology, statistics and computer science. The field was
created to a large extent
by H. Edelsbrunner, A. Zomorodian and G. Carlsson. In the first part of the
talk I will describe some phenomena where this field has found applications.
In the second part I will describe in some detail the construction of
(various) filtered complexes, persistent homology and bar codes as well as
some other constructions used in this area. In the final part I will
describe a few applications in some more detail.