2 citations · 2 across the 5 of their papers we have counts for
6 papers
Slow convergence of the moment-SOS hierarchy for an elementary polynomial optimization problem
Didier Henrion, Adrien Le Franc, Victor Magron
We describe a parametric univariate quadratic optimization problem for which the moment-SOS hierarchy has finite but increasingly slow convergence when the parameter tends to its l…
Minimal Sparsity for Second-Order Moment-SOS Relaxations of the AC-OPF Problem
Adrien Le Franc, Victor Magron, Jean-Bernard Lasserre +2
AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical fo…
Controlling Microgrids Without External Data: A Benchmark of Stochastic Programming Methods
Alban Puech, Tristan Rigaut, Adrien Le Franc +6
Microgrids are local energy systems that integrate energy production, demand, and storage units. They are generally connected to the regional grid to import electricity when local…
Differentiability and Regularization of Parametric Convex Value Functions in Stochastic Multistage Optimization
Adrien Le Franc, Pierre Carpentier, Jean-Philippe Chancelier +1
In multistage decision problems, it is often the case that an initial strategic decision (such as investment) is followed by many operational ones (operating the investment). Such…
The Capra-subdifferential of the l0 pseudonorm
Adrien Le Franc, Jean-Philippe Chancelier, Michel de Lara
The l0 pseudonorm counts the nonzero coordinates of a vector. It is often used in optimization problems to enforce the sparsity of the solution. However, this function is nonconvex…
EMSx: a numerical benchmark for energy management systems
Adrien Le Franc, Pierre Carpentier, Jean-Philippe Chancelier +1
Inserting renewable energy in the electric grid in a decentralized manneris a key challenge of the energy transition. However, at local scale, both production and demand display er…