activity
20212024
most citedNOMAD version 4: Nonlinear optimization with the MADS algorithm

9 citations · 13 across the 9 of their papers we have counts for

collaborators

10 papers

math.OC2024★ 1 cited

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…

math.OC2024

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…

math.OC2024

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…

math.OC2024

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…

math.OC2023

Risk averse constrained blackbox optimization under mixed aleatory/epistemic uncertainties

Charles Audet, Jean Bigeon, Romain Couderc +1

This paper addresses risk averse constrained optimization problems where the objective and constraint functions can only be computed by a blackbox subject to unknown uncertainties.…

math.OC2023

Sequential stochastic blackbox optimization with zeroth-order gradient estimators

Charles Audet, Jean Bigeon, Romain Couderc +1

This work considers stochastic optimization problems in which the objective function values can only be computed by a blackbox corrupted by some random noise following an unknown d…

math.OC2022

Erratum, counterexample and an additional revealing poll step for a result of "Analysis of direct searches for discontinuous functions''

Charles Audet, Pierre-Yves Bouchet, Loïc Bourdin

This note provides a counterexample to a theorem announced in the last part of the paper ''Analysis of direct searches for discontinuous functions'', Mathematical Programming Vol.…

math.OC2022★ 2 cited

A general mathematical framework for constrained mixed-variable blackbox optimization problems with meta and categorical variables

Charles Audet, Edward Hallé-Hannan, Sébastien Le Digabel

A mathematical framework for modelling constrained mixed-variable optimization problems is presented in a blackbox optimization context. The framework introduces a new notation and…

math.OC2021★ 1 cited

A derivative-free approach to optimal control problems with piecewise constant Mayer cost function

P. -Y. Bouchet, C. Audet, L. Bourdin

A piecewise constant Mayer cost function is used to model optimal control problems in which the state space is partitioned into several regions, each having its own Mayer cost valu…

math.OC2021★ 9 cited

NOMAD version 4: Nonlinear optimization with the MADS algorithm

Charles Audet, Sébastien Le Digabel, Viviane Rochon Montplaisir +1

NOMAD is software for optimizing blackbox problems. In continuous development since 2001, it constantly evolved with the integration of new algorithmic features published in scient…