A Quasi-Isometric Embedding Algorithm
- Autores: Dreisigmeyer D.W.1,2
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Afiliações:
- Center for Economic Studies
- Department of Electrical and Computer Engineering
- Edição: Volume 29, Nº 2 (2019)
- Páginas: 280-283
- Seção: Applied Problems
- URL: https://journals.rcsi.science/1054-6618/article/view/195586
- DOI: https://doi.org/10.1134/S105466181902007X
- ID: 195586
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Resumo
The Whitney embedding theorem gives an upper bound on the smallest embedding dimension of a manifold. If a data set lies on a manifold, a random projection into this reduced dimension will retain the manifold structure. Here we present an algorithm to find a projection that distorts the data as little as possible.
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Sobre autores
David Dreisigmeyer
Center for Economic Studies; Department of Electrical and Computer Engineering
Autor responsável pela correspondência
Email: david.wayne.dreisigmeyer@census.gov
Estados Unidos da América, Suitland, MD; Fort Collins, CO
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