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math.OC2023
Time-Reversed Dissipation Induces Duality Between Minimizing Gradient Norm and Function Value
Jaeyeon Kim, Asuman Ozdaglar, Chanwoo Park +1
In convex optimization, first-order optimization methods efficiently minimizing function values have been a central subject study since Nesterov's seminal work of 1983. Recently, h…
math.OC2021★ 1 cited
A Geometric Structure of Acceleration and Its Role in Making Gradients Small Fast
Jongmin Lee, Chanwoo Park, Ernest K. Ryu
Since Nesterov's seminal 1983 work, many accelerated first-order optimization methods have been proposed, but their analyses lacks a common unifying structure. In this work, we ide…
math.OC2021
Factor- Acceleration of Accelerated Gradient Methods
Chanwoo Park, Jisun Park, Ernest K. Ryu
The optimized gradient method (OGM) provides a factor- speedup upon Nesterov's celebrated accelerated gradient method in the convex (but non-strongly convex) setup. Howev…