Zigzag Persistence in Topological Data Analysis

Abstract: Zigzag Persistence is a pivotal technique within the Topological Data Analysis (TDA) domain. This talk delves into the mathematical underpinnings and algorithmic implementations of Zigzag Persistence, elucidating its efficacy in capturing the dynamic evolution of topological structures across varying resolutions. Through a rigorous examination of Zigzag Persistence diagrams and their interpretation, we discuss its potential to find subtle patterns and extract information from high-dimensional data spaces.

Part III of a sequence on Topological Data Analysis (TDA).

algebraic topologycategory theory

Audience: researchers in the topic

Bilkent Topology Seminar

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Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos