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Beyond convexity—Contraction and global convergence of gradient descent

This paper considers the analysis of continuous time gradient-based optimization algorithms through the lens of nonlinear contraction theory. It demonstrates that in the case of a time-invariant objective, most elementary results on gradient descent based on convexity can be replaced by much more ge...

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Detalles Bibliográficos
Autores principales: Wensing, Patrick M., Slotine, Jean-Jacques
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7402485/
https://www.ncbi.nlm.nih.gov/pubmed/32750097
http://dx.doi.org/10.1371/journal.pone.0236661