Multi-fidelity approaches for general constrained Bayesian optimization with application to aircraft design

arXiv stat.ML / 4/1/2026

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Key Points

  • The paper addresses computationally expensive multidisciplinary design optimization (MDO) in aircraft design by improving multi-fidelity Bayesian optimization, which combines high- and low-fidelity simulations to reduce runtime and cost.
  • It introduces new fidelity-selection strategies that use information from both the objective function and the constraints, rather than relying only on the objective as done in much prior work.
  • The authors validate the approach on four analytical constrained test cases, demonstrating reduced computational cost while maintaining solution optimality.
  • Applied to an aircraft wing aero-structural design problem (vortex lattice for aerodynamics and finite elements for structural analysis), the method produces 86% to 200% more constraint-compliant solutions under a limited evaluation budget than state-of-the-art methods.
  • Overall, the work suggests that constraint-aware multi-fidelity selection can significantly improve feasibility rates and efficiency for constrained Bayesian optimization in engineering design workflows.

Abstract

Aircraft design relies heavily on solving challenging and computationally expensive Multidisciplinary Design Optimization problems. In this context, there has been growing interest in multi-fidelity models for Bayesian optimization to improve the MDO process by balancing computational cost and accuracy through the combination of high- and low-fidelity simulation models, enabling efficient exploration of the design process at a minimal computational effort. In the existing literature, fidelity selection focuses only on the objective function to decide how to integrate multiple fidelity levels, balancing precision and computational cost using variance reduction criteria. In this work, we propose novel multi-fidelity selection strategies. Specifically, we demonstrate how incorporating information from both the objective and the constraints can further reduce computational costs without compromising the optimality of the solution. We validate the proposed multi-fidelity optimization strategy by applying it to four analytical test cases, showcasing its effectiveness. The proposed method is used to efficiently solve a challenging aircraft wing aero-structural design problem. The proposed setting uses a linear vortex lattice method and a finite element method for the aerodynamic and structural analysis respectively. We show that employing our proposed multi-fidelity approach leads to 86\% to 200\% more constraint compliant solutions given a limited budget compared to the state-of-the-art approach.