7 papers · 1 filter
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…
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,…
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…