Primal-dual adaptive and fast gradient methods with (δ, L)-models achieve optimal convergence rates for some optimization problems by solving approximated primal problems to recover dual solutions.
Gradient Methods for Problems with Inexact Model of the Objective // Mathematical Optimization Theory and Operations Research
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Primal-dual fast gradient method with a model
Primal-dual adaptive and fast gradient methods with (δ, L)-models achieve optimal convergence rates for some optimization problems by solving approximated primal problems to recover dual solutions.