Topological analysis of quasiperiodic signals
[Moved Online] Hot Topics: Topological Insights in Neuroscience May 04, 2021 - May 11, 2021
Location: SLMath: Online/Virtual
Tags/Keywords
Topological data analysis
Persistent homology
dynamical systems
sliding window embeddings
quasiperiodicity
time series analysis
Topological Analysis of Quasiperiodic Signals
This talk will be about quasiperiodic recurrence in time series data; i.e., the superposition of periodic oscillators with non-commensurate frequencies. The sliding window (or time delay) embeddings of such functions can be shown to be dense in high-dimensional tori, and we will discuss techniques to study the persistent homology of such sets. Along the way, we will present a recent Kunneth theorem for persistent homology, as well as several applications.
Topological Analysis of Quasiperiodic Signals
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