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NM2-BO: Non-Myopic Multifidelity Bayesian Optimization

delete2024-09-01
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F
Francesco Di Fiore *
L
Laura Mainini
DOI:10.1016/j.knosys.2024.111959delete
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摘要

摘要

En 中文
Bayesian optimization is a popular framework for the optimization of black box functions. Multifidelity methods allow to accelerate Bayesian optimization by exploiting low -fidelity representations of expensive objective functions. Popular multifidelity Bayesian strategies rely on sampling policies that account for the immediate reward obtained evaluating the objective function for a specific input, precluding greater informative gains that might be obtained looking ahead more steps. This paper proposes a Non -Myopic Multifidelity Bayesian Optimization framework (NM2-BO) to grasp the long-term reward from future steps of the optimization. Our computational strategy comes with a two-step lookahead multifidelity acquisition function that maximizes the cumulative reward obtained measuring the improvement of the solution over two steps ahead. Our NM2-BO algorithm is demonstrated for a large set of benchmark problems to stress test across a broad spectrum of mathematical properties, and a physics -based application relevant for the engineering community. In all the cases, we observe that the proposed algorithm outperforms standard MFBO frameworks.
Keyword:
Non-myopic multifidelity method
Multifidelity Bayesian optimization
Two-step lookahead multifidelity acquisition
function
Multifidelity Gaussian process
Engineering optimization
Simulation-based optimization
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期刊

K
Knowledge-Based Systems
IF:
7.6
论文数:
1.3W
被引数:
4.5W

机构

P
Polytechnic University of Turin
学者数:
1.3W
论文数: 1.3W
被引数: 1.3W
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