Convergences Rates of Proximal Gradient Methods via the Convex Conjugate

Date:

Locations:

  • YinzOR 2018, Pittsburgh, PA
  • MOPTA 2018, Bethlehem, PA

In this talk we propose a novel proof of the $O(1/k)$ and $O(1/k^2)$ convergence rates of the proximal gradient and accelerated proximal gradient methods for composite convex minimization. The crux of the new proof is an upper bound constructed via the convex conjugate of the objective function.