Conference paper
A Fine-Grained Variant of the Hierarchy of Lasserre
Wann Jiun Ma, Jakub Marecek, et al.
Allerton 2019
Many steady-state problems in power systems, including rectangular power-voltage formulations of optimal power flows in the alternating-current model, can be cast as polynomial optimization problems (POP). For a POP, one can derive strong convex relaxations, or rather hierarchies of increasingly strong, but increasingly computationally challenging convex relaxations. We study means of switching from solving a convex relaxation to Newton's method working on a non-convex (augmented) Lagrangian of the POP.
Wann Jiun Ma, Jakub Marecek, et al.
Allerton 2019
Randall Cogill, Jakub Marecek, et al.
PATAT 2016
Jonathan P. Epperlein, Jakub Marecek
Allerton 2017
Jakub Marecek, Robert Shorten, et al.
International Journal of Control