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A logifold structure on measure space
May 10, 2024, 4:42 a.m. | Inkee Jung, Siu-Cheong Lau
cs.LG updates on arXiv.org arxiv.org
Abstract: In this paper,we develop a local-to-global and measure-theoretical approach to understand datasets. The idea is to take network models with restricted domains as local charts of datasets. We develop the mathematical foundations for these structures, and show in experiments how it can be used to find fuzzy domains and to improve accuracy in data classification problems.
abstract arxiv charts cs.ai cs.lg datasets domains global math.dg math.pr network paper show space type
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