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Euler Calculus and Topological Data Management

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.


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