5 citations · 9 across the 19 of their papers we have counts for
17 papers · 1 filter
On the Regularity of Generalized Conjugate Functions
Konstantinos Oikonomidis, Emanuel Laude, Panagiotis Patrinos
We investigate regularity properties of generalized conjugate functions induced by a general coupling function and the associated generalized proximal mapping. Our main results pro…
All roads lead to Rome: Path-following Augmented Lagrangian Methods via Bregman Proximal Regularization
Emanuel Laude
We study Bregman proximal augmented Lagrangian methods with second-order oracles for convex convex-composite optimization problems. The outer loop is an instance of the Bregman pro…
Forward-backward splitting under the light of generalized convexity
Konstantinos Oikonomidis, Emanuel Laude, Panagiotis Patrinos
In this paper we present a unifying framework for continuous optimization methods grounded in the concept of generalized convexity. Utilizing the powerful theory of -convexity,…
Nonlinearly Preconditioned Gradient Methods under Generalized Smoothness
Konstantinos Oikonomidis, Jan Quan, Emanuel Laude +1
We analyze nonlinearly preconditioned gradient methods for solving smooth minimization problems. We introduce a generalized smoothness property, based on the notion of abstract con…
The inexact power augmented Lagrangian method for constrained nonconvex optimization
Alexander Bodard, Konstantinos Oikonomidis, Emanuel Laude +1
This work introduces an unconventional inexact augmented Lagrangian method where the augmenting term is a Euclidean norm raised to a power between one and two. The proposed algorit…
Adaptive proximal gradient methods are universal without approximation
Konstantinos A. Oikonomidis, Emanuel Laude, Puya Latafat +2
We show that adaptive proximal gradient methods for convex problems are not restricted to traditional Lipschitzian assumptions. Our analysis reveals that a class of linesearch-free…