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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Public Library of Science (PLoS)
2020-01-01
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Series: | PLoS ONE |
Online Access: | https://doi.org/10.1371/journal.pone.0236661 |