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math.AT2021
The Euler Characteristic: A General Topological Descriptor for Complex Data
Alexander Smith, Victor Zavala
Datasets are mathematical objects (e.g., point clouds, matrices, graphs, images, fields/functions) that have shape. This shape encodes important knowledge about the system under st…
math.AT2020
Topological Data Analysis: Concepts, Computation, and Applications in Chemical Engineering
Alexander D. Smith, Pawel Dlotko, Victor M. Zavala
A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments,…