10 papers
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…
Anisotropic Proximal Point Algorithm
Emanuel Laude, Panagiotis Patrinos
In this paper we study a nonlinear dual space preconditioning approach for the relaxed Proximal Point Algorithm (PPA) with application to monotone and relatively cohypomonotone inc…
ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks
Santiago A. Cadena, Andrea Merlo, Emanuel Laude +8
Stellarators are magnetic confinement devices under active development to deliver steady-state carbon-free fusion energy. Their design involves a high-dimensional, constrained opti…
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…
Global Convergence Analysis of the Power Proximal Point and Augmented Lagrangian Method
Konstantinos A. Oikonomidis, Alexander Bodard, Emanuel Laude +1
In this paper we study an unconventional inexact Augmented Lagrangian Method (ALM) for convex optimization problems, as first proposed by Bertsekas, wherein the penalty term is a p…