Browsing by Subject "persistent homology"
Now showing items 1-4 of 4
-
AN APPLICATION OF GRAPH DIFFUSION FOR GESTURE CLASSIFICATION
(2020)Reliable and widely available robotic prostheses have long been a dream of science fiction writers and researchers alike. The problem of sufficiently generalizable gesture recognition algorithms and technology remains a ... -
Homological Illusions of Persistence and Stability
(2008-08-04)In this thesis we explore and extend the theory of persistent homology, which captures topological features of a function by pairing its critical values. The result is represented by a collection of points in the extended ... -
Invariants and Metrics for Multiparameter Persistent Homology
(2019)This dissertation is about building fundamental techniques for comparing data via a geometric and topological data analysis method called multiparameter persistent homology. The techniques used are largely algebraic. A new ... -
Statistical analysis of fruit fly wing vein topology
(2018-04)The fruit fly Drosophila melanogaster is a commonly used model organism for evolution given that the species showcases interesting behaviors and is easy to modify and rear. Among other things, the Drosophila wings are studied ...