4 papers · 1 filter
A Partitioned Optimization Framework for Structure-Aware Problems
Charles Audet, Pierre-Yves Bouchet, Loïc Bourdin
This work tackles a class of optimization problems in which fixing some well-chosen combinations of the variables makes the problem substantially easier to solve. We consider that…
Convergence towards a local minimum by direct search methods with a covering step
Charles Audet, Pierre-Yves Bouchet. Loïc Bourdin
This paper introduces a new step to the Direct Search Method (DSM) to strengthen its convergence analysis. By design, this so-called covering step may ensure that for all refined p…
The cosine measure relative to a subspace
Charles Audet, Warren Hare, Gabriel Jarry-Bolduc
The cosine measure was introduced in 2003 to quantify the richness of a finite positive spanning sets of directions in the context of derivative-free directional methods. A positiv…
Blackbox optimization for origami-inspired bistable structures
Luca Boisneault, Charles Audet, David Melancon
Bistable mechanical systems exhibit two stable configurations where the elastic energy is locally minimized. To realize such systems, origami techniques have been proposed as a ver…