6 papers · 1 filter
Randomization and Performance Improvement for Integer Optimal Control with Total Variation Regularization
Robert Baraldi, Paul Manns, Lars Mösezahl +1
Mixed-integer PDE-constrained optimization problems are computationally challenging due to both the combinatorial nature of integer programming as well as evaluation of the model.…
ProxSTORM -- A Stochastic Trust-Region Algorithm for Nonsmooth Optimization
Robert J. Baraldi, Aurya Javeed, Drew P. Kouri +1
We develop a stochastic trust-region algorithm for minimizing the sum of a Lipschitz-smooth but possibly nonconvex function and a convex but possibly nonsmooth function. Such a pro…
An online adaptive finite-element method for nonsmooth PDE-constrained optimization
Harbir Antil, Robert J. Baraldi, Rohit Khandelwal +1
We present a trust-region-based adaptive finite-element algorithm for numerically solving a class of nonsmooth PDE-constrained optimization problems that includes problems with spa…
An Inexact Weighted Proximal Trust-Region Method
Leandro Farias Maia, Robert Baraldi, Drew P. Kouri
In [R. J. Baraldi and D. P. Kouri, Math. Program., 201:1 (2023), pp. 559-598], the authors introduced a trust-region method for minimizing the sum of a smooth nonconvex and a nonsm…
A multilevel proximal trust-region method for nonsmooth optimization with applications
Robert Baraldi, Michael Hintermüller, Qi Wang
Many large-scale optimization problems arising in science and engineering are naturally defined at multiple levels of discretization or model fidelity. Multilevel methods exploit t…
Domain decomposition for integer optimal control with total variation regularization
Robert Baraldi, Paul Manns
Total variation integer optimal control problems admit solutions and necessary optimality conditions via geometric variational analysis. In spite of the existence of said solutions…