4 papers · 1 filter
The computation of approximate feedback Stackelberg equilibria in multi-player nonlinear constrained dynamic games
Jingqi Li, Somayeh Sojoudi, Claire Tomlin +1
Solving feedback Stackelberg games with nonlinear dynamics and coupled constraints, a common scenario in practice, presents significant challenges. This work introduces an efficien…
A theory on the absence of spurious solutions for nonconvex and nonsmooth optimization
Cedric Josz, Yi Ouyang, Richard Y. Zhang +2
We study the set of continuous functions that admit no spurious local optima (i.e. local minima that are not global minima) which we term \textit{global functions}. They satisfy va…
Distributionally Robust Joint Chance-Constrained Optimal Power Flow using Relative Entropy
Eli Brock, Haixiang Zhang, Javad Lavaei +1
Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF)…
Approximately Gaussian Replicator Flows: Nonconvex Optimization as a Nash-Convergent Evolutionary Game
Brendon G. Anderson, Samuel Pfrommer, Somayeh Sojoudi
This work leverages tools from evolutionary game theory to solve unconstrained nonconvex optimization problems. Specifically, we lift such a problem to an optimization over probabi…