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Merge pull request #42 from m-balesdent/master
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add paper on Bayesian QD for mixed problems
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Aneoshun authored Mar 26, 2024
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papers:

- abstract: 'Complex system design problems, such as those involved in aerospace
engineering, require the use of numerically costly simulation codes in order to
predict the performance of the system to be designed. In this context, these
codes are often embedded into an optimization process to provide the best
design while satisfying the design constraints. Recently, new approaches,
called Quality-Diversity, have been proposed in order to enhance the
exploration of the design space and to provide a set of optimal diversified
solutions with respect to some feature functions. These functions are
interesting to assess trade-offs. Furthermore, complex design problems often
involve mixed continuous, discrete, and categorical design variables allowing
to take into account technological choices in the optimization problem.
Existing Bayesian Quality-Diversity approaches suited for intensive
high-fidelity simulations are not adapted to mixed variables constrained
optimization problems. In order to overcome these limitations, a new
Quality-Diversity methodology based on mixed variables Bayesian optimization
strategy is proposed in the context of limited simulation budget. Using adapted
covariance models and dedicated enrichment strategy for the Gaussian processes
in Bayesian optimization, this approach allows to reduce the computational cost
up to two orders of magnitude, with respect to classical Quality-Diversity
approaches while dealing with discrete choices and the presence of constraints.
The performance of the proposed method is assessed on a benchmark of analytical
problems as well as on two aerospace system design problems highlighting its
efficiency in terms of speed of convergence. The proposed approach provides
valuable trade-offs for decision-markers for complex system design.'
authors:
- Loic Brevault
- Mathieu Balesdent
bibtex: " @article{Brevault_2024, title={Bayesian Quality-Diversity approaches for\
\ constrained optimization problems with mixed continuous, discrete and categorical\
\ variables}, volume={133}, ISSN={0952-1976}, url={http://dx.doi.org/10.1016/j.engappai.2024.108118},\
\ DOI={10.1016/j.engappai.2024.108118}, journal={Engineering Applications of Artificial\
\ Intelligence}, publisher={Elsevier BV}, author={Brevault, Lo\xEFc and Balesdent,\
\ Mathieu}, year={2024}, month=jul, pages={108118} }\n"
pdfurl: http://arxiv.org/pdf/2310.05955v3
title: "Bayesian Quality\u2013Diversity approaches for constrained optimization\
\ problems with mixed continuous, discrete and categorical variables"
year: 2023

- abstract: 'Recent advances in AI have led to significant results in robotic learning,
including natural language-conditioned planning and efficient optimization of
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