5 citations · 9 across the 19 of their papers we have counts for
22 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…
Optimizing Particle Transport for Enhanced Confinement in Quasi-Isodynamic Stellarators
A. Bañón Navarro, A. Di Siena, F. Jenko +2
Despite significant advances in reducing turbulent heat losses, modern quasi-isodynamic (QI) stellarators -- such as Stellaris -- continue to suffer from poor particle confinement,…
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…
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…