5 papers · 1 filter
McCormick relaxations for PDE-constrained optimization on multi-dimensional domains
Mariia Pokotylo, Paul Manns
We are interested in computing approximate dual bounds for nonconvex optimal control problems using McCormick inequalities. To handle the numerical burden concerned with the tighte…
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.…
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…
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…
McCormick envelopes in mixed-integer PDE-constrained optimization
Sven Leyffer, Paul Manns
McCormick envelopes are a standard tool for deriving convex relaxations of optimization problems that involve polynomial terms. Such McCormick relaxations provide lower bounds, for…