7 papers
Proving Global Optimality of ACOPF Solutions
S. Gopinath, H. L. Hijazi, T. Weisser +4
We present our latest contributions in terms of mathematical modeling and algorithm development for the global optimization of the ACOPF problem. These contributions allow us to cl…
Semi-algebraic approximation using Christoffel-Darboux kernel
Swann Marx, Edouard Pauwels, Tillmann Weisser +2
We provide a new method to approximate a (possibly discontinuous) function using Christoffel-Darboux kernels. Our knowledge about the unknown multivariate function is in terms of f…
Exploiting Sparsity for Semi-Algebraic Set Volume Computation
Matteo Tacchi, Tillmann Weisser, Jean-Bernard Lasserre +1
We provide a systematic deterministic numerical scheme to approximate the volume (i.e. the Lebesgue measure) of a basic semi-algebraic set whose description follows a sparsity patt…
A moment approach for entropy solutions to nonlinear hyperbolic PDEs
Swann Marx, Tillmann Weisser, Didier Henrion +1
We propose to solve polynomial hyperbolic partial differential equations (PDEs) with convex optimization. This approach is based on a very weak notion of solution of the nonlinear…
Optimal control problems with oscillations, concentrations and discontinuities
Didier Henrion, Martin Kru{ž}ík, Tillmann Weisser
Optimal control problems with oscillations (chattering controls) and concentrations (impulsive controls) can have integral performance criteria such that concentration of the contr…
Chance-Constrained Optimization for Non-Linear Network Flow Problems
Tillmann Weisser, Line Roald, Sidhant Misra
Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks i…