Bouchitté, GuyButtazzo, GiuseppeChampion, ThierryDe Pascale, Luigi

We propose a duality theory for multi-marginal repulsive cost that appear in optimal transport problems arising in Density Functional Theory. The related optimization problems involve probabilities on the entire space and, as minimizing sequences may lose mass at infinity, it is natural to expect relaxed solutions which are sub-probabilities. We fi...

Reliability-redundancy is a recurrent problem in engineering where designed systems are meant to be very reliable. However, the cost of manufacturing very high reliability components increases exponentially, therefore redundancy of less reliable components is a palliative solution. Nonetheless, the question remains how many components of low reliab...

This paper studies the addition of linear constraints to the Support Vector Regression (SVR) when the kernel is linear. Adding those constraints into the problem allows to add prior knowledge on the estimator obtained, such as finding probability vector or monotone data. We propose a generalization of the Sequential Minimal Optimization (SMO) algor...

In this paper, we consider an optimal control problem for quantum systems with a periodic time evolution. In this non-classical problem both the initial and final state are unknown (and equal). We first prove the existence of periodic solution of this problem for a fixed period and study the associated optimal periodic control problem.

Carriere, ThomasVernay, ChristophePitaval, SébastienKariniotakis, Georges

Uncertainty in the upcoming production of photo-voltaic (PV) plants is a challenge for grid operations and also a source of revenue loss for PV plant operators participating in electricity markets, since they have to pay penalties for the mismatch between contracted and actual productions. Improving PV predictability is an area of intense research....

This work is concerned with the controllability of the one-dimensional wave equation with controls distributed over non-cylindrical domains. The controllability in that case has been obtained in [Castro-Cîndea-Münch, Controllability of the linear one-dimensional wave equation with inner moving forces, SIAM J. Control Optim 2014] for domains satisfy...