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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…
cs.CG2021★ 3 cited
Reviews: Topological Distances and Losses for Brain Networks
Moo K. Chung, Alexander Smith, Gary Shiu
Almost all statistical and machine learning methods in analyzing brain networks rely on distances and loss functions, which are mostly Euclidean or matrix norms. The Euclidean or m…