Bifurcation Analysis using Zigzag Persistence

no code implementations • NeurIPS Workshop TDA_and_Beyond 2020 • Sarah Tymochko, Elizabeth Munch, Firas Khasawneh

As bifurcations in a dynamical system are drastic behavioral changes, being able to detect when these bifurcations occur can be essential to understanding the system overall.

Time Series Time Series Analysis

Teaspoon: A comprehensive python package for topological signal processing

no code implementations • NeurIPS Workshop TDA_and_Beyond 2020 • Audun D Myers, Melih Yesilli, Sarah Tymochko, Firas Khasawneh, Elizabeth Munch

The emerging field of topological signal processing brings methods from Topological Data Analysis (TDA) to create new tools for signal processing by incorporating aspects of shape.

Benchmarking Topological Data Analysis

Effects of Correlated Noise on the Performance of Persistence Based Dynamic State Detection Methods

no code implementations • 31 Aug 2020 • Joshua Tempelman, Audun Myers, Jeffrey Scruggs, Firas Khasawneh

The ability to characterize the state of dynamic systems has been a pertinent task in the time series analysis community.

Time Series Time Series Analysis