Topological data analysis - PowerPoint PPT Presentation

Persistent Homology in Topological Data Analysis

Ben Fraser May 27, 2015. Persistent Homology in Topological Data Analysis. Data Analysis. Suppose we start with some point cloud data, and want to extract meaningful information from it. Data Analysis.

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Topological Data Analysis

Topological Data Analysis. MATH 800 Fall 2011. Topological Data Analysis (TDA). An ε -chain is a finite sequence of points x 1 , ..., x n such that |x i – x i +1 | &lt; ε for all i =1,…,n-1 x and y are ε -connected if there is an ε - chain joining them.

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Lecture 6: Creating a simplicial complex from data .

Isabel K. Darcy Mathematics Department/Applied Mathematical &amp; Computational Sciences University of Iowa http:// www.math.uiowa.edu /~ idarcy / AppliedTopology.html. Lecture 6: Creating a simplicial complex from data .

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