Multi-Fidelity Bayesian Optimization with Unreliable Information Sources

Petrus Mikkola, Julien Martinelli, Louis Filstroff, Samuel Kaski

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Bayesian optimization (BO) is a powerful framework for optimizing black-box, expensive-to-evaluate functions. Over the past decade, many algorithms have been proposed to integrate cheaper, lower-fidelity approximations of the objective function into the optimization process, with the goal of converging towards the global optimum at a reduced cost. This task is generally referred to as multi-fidelity Bayesian optimization (MFBO). However, MFBO algorithms can lead to higher optimization costs than their vanilla BO counterparts, especially when the low-fidelity sources are poor approximations of the objective function, therefore defeating their purpose. To address this issue, we propose rMFBO (robust MFBO), a methodology to make any GP-based MFBO scheme robust to the addition of unreliable information sources. rMFBO comes with a theoretical guarantee that its performance can be bound to its vanilla BO analog, with high controllable probability. We demonstrate the effectiveness of the proposed methodology on a number of numerical benchmarks, outperforming earlier MFBO methods on unreliable sources. We expect rMFBO to be particularly useful to reliably include human experts with varying knowledge within BO processes.
Original languageEnglish
Title of host publicationProceedings of the 26th International Conference on Artificial Intelligence and Statistics
PublisherJournal of Machine Learning Research
Number of pages30
Publication statusPublished - 25 Apr 2023
EventInternational Conference on Artificial Intelligence and Statistics -
Duration: 25 Apr 202327 Apr 2023


ConferenceInternational Conference on Artificial Intelligence and Statistics


  • Bayesian modelling


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