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Ricci Curvature and the Manifold Learnin...

Ache, Antonio G....

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Ricci Curvature and the Manifold Learning Problem by Ache, Antonio G. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	Consider a sample of $n$ points taken i.i.d from a submanifold $\Sigma$ of Euclidean space. We show that there is a way to estimate the Ricci curvature of $\Sigma$ with respect to the induced metric from the sample. Our method is grounded in the notions of Carr\'e du Champ for diffusion semi-groups, the theory of Empirical processes and local Principal Component Analysis.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1410.3351

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Ache, Antonio G.. Ricci Curvature and the Manifold Learning Problem. Australian National University. September 06, 2023. Accessed November 07, 2024. https://online.provdatabase.com/cite/23697

APA 7th EditionReferences

Ache, Antonio G.. (2023). Ricci Curvature and the Manifold Learning Problem. Australian National University. https://online.provdatabase.com/cite/23697

Chicago 17th EditionReferences

Ache, Antonio G.. Ricci Curvature and the Manifold Learning Problem. Australian National University. 2023. https://online.provdatabase.com/cite/23697

HarvardReferences

Ache, Antonio G.. (2023). Ricci Curvature and the Manifold Learning Problem. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23697. (Accessed 07 November 2024).

Harvard AustraliaReferences

Ache, Antonio G., 2023, Ricci Curvature and the Manifold Learning Problem, Australian National University, viewed 07 November 2024, <https://online.provdatabase.com/cite/23697>

MLA 9th EditionWorks Cited

Ache, Antonio G.. Ricci Curvature and the Manifold Learning Problem. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23697.

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