13 citations · 27 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
Peak Estimation of Time Delay Systems using Occupation Measures
Jared Miller, Milan Korda, Victor Magron +1
This work proposes a method to compute the maximum value obtained by a state function along trajectories of a Delay Differential Equation (DDE). An example of this task is finding…
Sparse Polynomial Optimization: Theory and Practice
Victor Magron, Jie Wang
The problem of minimizing a polynomial over a set of polynomial inequalities is an NP-hard non-convex problem. Thanks to powerful results from real algebraic geometry, one can conv…
Error Bounds for Polynomial Optimization over the Hypercube using Putinar type Representations
Victor Magron
Consider the optimization problem , where is a degree multivariate polynomial and is the hypercube. We…
Approximating Pareto Curves using Semidefinite Relaxations
Victor Magron, Didier Henrion, Jean-Bernard Lasserre
We consider the problem of constructing an approximation of the Pareto curve associated with the multiobjective optimization problem $\min_{\mathbf{x} \in \mathbf{S}}\{ (f_1(\mathb…
Certification of Real Inequalities -- Templates and Sums of Squares
Xavier Allamigeon, Stéphane Gaubert, Victor Magron +1
We consider the problem of certifying lower bounds for real-valued multivariate transcendental functions. The functions we are dealing with are nonlinear and involve semialgebraic…