Department of Mathematics

Applied Mathematics

  •  Elizabeth Munch, MSU
  •  ZOOM TALK (password the smallest prime > 100) - Combining network analysis and persistent homology for classifying behavior of time series
  •  02/09/2023
  •  2:30 PM - 3:30 PM
  •  C304 Wells Hall (Virtual Meeting Link)
  •  Mark A Iwen (

Persistent homology, the flagship method of topological data analysis, can be used to provide a quantitative summary of the shape of data. One way to pass data to this method is to start with a finite, discrete metric space (whether or not it arises from a Euclidean embedding) and to study the resulting filtration of the Rips complex. In this talk, we will discuss several available methods for turning a time series into a discrete metric space, including the Takens embedding, $k$-nearest neighbor networks, and ordinal partition networks. Combined with persistent homology and machine learning methods, we show how this can be used to classify behavior in time series in both synthetic and experimental data.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science