4 papers · 1 filter
Convergence Analysis of an Inexact Proximal Trust-Region Method
Robert J. Baraldi, Drew P. Kouri, Leandro Farias Maia
We analyze an inexact, proximal trust-region algorithm for minimizing the sum of a smooth nonconvex function and a nonsmooth convex function. Our algorithm leverages the proximal g…
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.…
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…