Multi-Fidelity Bayesian Optimization with Unreliable Information Sources

Autor: Mikkola, Petrus, Martinelli, Julien, Filstroff, Louis, Kaski, Samuel
Přispěvatelé: Department of Computer Science, Probabilistic Machine Learning, Computer Science Professors, Aalto-yliopisto, Aalto University
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: 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.
Comment: Accepted for publication at AISTATS 2023. Code available at https://github.com/AaltoPML/rMFBO
Databáze: OpenAIRE