Charles Audet
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Blackbox optimization
The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that sh...
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A small polygon is a polygon of unit diameter. The maximal perimeter of a convex equilateral small polygon with n=2s
vertices is not known when `(s ...
NOMAD is software for optimizing blackbox problems. In continuous development since 2001, it constantly evolved with the integration of new algorithmic...
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This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm with the Cross-Entropy (CE) method for non smooth constrained optimizat...
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This work reviews blackbox optimization applications over the last twenty years, addressed using direct search optimization methods. Emphasis is placed on...
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The design of key nonlinear systems often requires the use of expensive blackbox simulations presenting inherent discontinuities whose positions in the varia...
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Artificial Intelligence (AI) is the next society transformation builder. Massive AI-based applications include cloud servers, cell phones, cars, and pandemic...
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The solution to a biobjective optimization problem is composed of a collection of trade-off solution called the Pareto set. The present work studies the que...
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In derivative-free and blackbox optimization, the objective function is often evaluated through the execution of a computer program seen as a blackbox. It ...
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This work proposes strategies to handle three types of constraints in the context of blackbox optimization: binary constraints that simply indicate if they a...
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This work introduces StoMADS, a stochastic variant of the mesh adaptive direct-search (MADS) algorithm originally developed for deterministic blackbox optim...
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In an optimization problem, multiplying an inequality constraint by a positive scalar has no effect on the domain. However, such a transformation might have...
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A small polygon is a polygon of unit diameter.
The question of finding the largest area of small n−
gons
has been answered for some values of n
....
Monotonic grey box optimization
We are interested in blackbox optimization for which the user is aware of monotonic behaviour of some constraints defining the problem. That is, when incr...
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The present work is in a context of derivative-free optimization involving direct search algorithms guided by surrogate models of the original problem. The...
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This is a two-part work. In Part I, low-cost and representative reduced-fidelity models of two versions of the HYDROTEL hydrological model are constructed, u...
BibTeX referenceLow-cost and representative surrogate hydrological models. Part I - Construction of surrogates
Dealing with computationally-intensive calibration processes is still common in distributed hydrological modelling despite the computing power growth. Comput...
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In the recent years, the development of new algorithms for multiobjective optimization has considerably grown. A large number of performance indicators has...
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The parallel space decomposition of the Mesh Adaptive Direct Search algorithm (PSD-MADS proposed in 2008) is an asynchronous parallel method for constrained ...
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Derivative-free optimization (DFO) is the mathematical study of the optimization algorithms that do not use derivatives. One branch of DFO focuses on model-...
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