Optimal Transport-based Permutation-Invariant Bayesian Optimization of Offshore Wind Farm Layouts

ArXi:2606.00009v1 Announce Type: new Bayesian Optimization (BO) is widely and successfully adopted for solving optimization problems having an expensive-to-evaluate, black-box, and non-convex objective function. However, the vanilla BO algorithm is not able to exploit possible symmetries characterizing the target problem. An intuitive case is given by optimal location problems, whose decision variables refer to a finite set of points within a continuous space, with the order of points not affecting the value of the objective function.