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Euler Calculus and Topological Data Management

This video was recorded at Machine Learning Summer School (MLSS), Chicago 2009. This talk covers the basic of an integral calculus based on Euler characteristic, and its utility in data problems, particularly in aggregation of redundant data and inverse problems over networks. This calculus is a blend of integral-geometric and sheaf theoretic techniques, and leads to surprisingly practical algorithms and computations. Qualitative versions of integral transforms for signal processing will be stressed.

Keywords:: videolectures, ocwc, oec

Disciplines:

Mathematics and Statistics / Mathematics

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Material Type:: Presentation
Date Added to MERLOT:: February 10, 2015
Date Modified in MERLOT:: February 10, 2015
Author:: Robert Ghrist, Department of Mathematics, University of Illinois at Urbana-Champaign
Submitter:: The Open Education Consortium
Primary Audience:: College General Ed, College Lower Division, College Upper Division
Technical Format:: Video

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: Unknown
Creative Commons:: This work is licensed under a Attribution-NonCommercial-NoDerivs 3.0 United States