November 20, 2015
11:30AM
-
12:30PM
Dreese Lab 264
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2015-11-20 11:30:00
2015-11-20 12:30:00
TGDA Mini-Course - Jose Perea (Lecture 3)
Title: TGDA Minicourse, Lecture 3: Sliding windows and persistenceSpeaker: Jose Perea (Michigan State University)Abstract: We will present in this lecture a theoretical framework for studying the persistent homology of point-clouds from time-delay (or sliding window) embeddings. We will show that persistence yields a suitable measure of periodicity at the signal level, and present theorems which relate the resulting diagrams to the choices of window size, embedding dimension and field of coefficients. We will also demonstrate how this methodology has been successfully applied to the study of periodicity in time series from gene expression data.Seminar URL: http://www.tgda.osu.edu/tgda-seminar.html
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2015-11-20 11:30:00
2015-11-20 12:30:00
TGDA Mini-Course - Jose Perea (Lecture 3)
Title: TGDA Minicourse, Lecture 3: Sliding windows and persistenceSpeaker: Jose Perea (Michigan State University)Abstract: We will present in this lecture a theoretical framework for studying the persistent homology of point-clouds from time-delay (or sliding window) embeddings. We will show that persistence yields a suitable measure of periodicity at the signal level, and present theorems which relate the resulting diagrams to the choices of window size, embedding dimension and field of coefficients. We will also demonstrate how this methodology has been successfully applied to the study of periodicity in time series from gene expression data.Seminar URL: http://www.tgda.osu.edu/tgda-seminar.html
Dreese Lab 264
America/New_York
public
Title: TGDA Minicourse, Lecture 3: Sliding windows and persistence
Speaker: Jose Perea (Michigan State University)
Abstract: We will present in this lecture a theoretical framework for studying the persistent homology of point-clouds from time-delay (or sliding window) embeddings. We will show that persistence yields a suitable measure of periodicity at the signal level, and present theorems which relate the resulting diagrams to the choices of window size, embedding dimension and field of coefficients. We will also demonstrate how this methodology has been successfully applied to the study of periodicity in time series from gene expression data.
Seminar URL: http://www.tgda.osu.edu/tgda-seminar.html
