Algebraic Topology for Data Analysis
نویسنده
چکیده
I develop algebraic-topological theories, algorithms and software for the analysis of nonlinear data and complex systems arising in various scientific contexts. In particular, I employ discrete Morse-theoretic techniques to substantially compress cell complexes built around the input data without modifying their core topological properties. Recently, I have generalized discrete Morse theory itself by recasting it in terms of 2-categorical localization.
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تاریخ انتشار 2015