3 papers
math.OC2026
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.…
math.OC2026
Optimizing the Principal Coefficient of Elliptic Equations using -regularity,
Ala' Alalabi, Lorena Bociu, Paul Manns
We study coefficient identification problems for elliptic partial differential equations with total variation regularization and control constraints. Existing related literature re…
math.OC2024
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…