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Computing the Riemannian curvature of image patch and single-cell RNA sequencing data manifolds using extrinsic differential geometry

Most high-dimensional datasets are thought to be inherently low-dimensional—that is, data points are constrained to lie on a low-dimensional manifold embedded in a high-dimensional ambient space. Here, we study the viability of two approaches from differential geometry to estimate the Riemannian cur...

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Detalhes bibliográficos
Publicado no:Proc Natl Acad Sci U S A
Main Authors: Sritharan, Duluxan, Wang, Shu, Hormoz, Sahand
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2021
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC8307776/
https://ncbi.nlm.nih.gov/pubmed/34272279
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.2100473118
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