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Epidemiological model calibration via graybox Bayesian optimization.

Puhua Niu1, Byung-Jun Yoon1,2, Xiaoning Qian1,3,2

  • 1Department of Electrical & Computer Engineering, Texas A&M University, College Station, 77843, Texas, United States.

Infectious Disease Modelling
|January 19, 2026
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Summary
This summary is machine-generated.

This study introduces efficient Bayesian optimization methods for calibrating epidemiological models. These novel graybox approaches improve calibration speed and accuracy for computationally expensive models.

Keywords:
Bayesian optimizationCompartmental modelGaussian processKnowledge gradientModel calibration

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Area of Science:

  • Epidemiology
  • Computational Biology
  • Statistical Modeling

Background:

  • Traditional epidemiological model calibration methods assume low computational cost, which is often not feasible for complex models.
  • There is a need for efficient calibration techniques that can handle computationally expensive epidemiological models.

Purpose of the Study:

  • To develop efficient calibration methods for compartmental epidemiological models using Bayesian decision-making.
  • To introduce a "graybox" Bayesian optimization (BO) scheme that leverages the functional structure of epidemiological models for enhanced calibration.
  • To propose decoupled decision-making strategies within BO to further exploit model structure.

Main Methods:

  • Utilizing Gaussian processes as surrogates for computationally expensive epidemiological models.
  • Implementing a "graybox" Bayesian optimization framework tailored for compartmental models.
  • Developing decoupled decision-making strategies for BO to enhance calibration efficiency.

Main Results:

  • The proposed graybox BO schemes efficiently calibrate computationally expensive epidemiological models.
  • Improved calibration performance was observed, measured by the logarithm of mean squared errors.
  • Faster convergence of performance was achieved in terms of BO iterations.

Conclusions:

  • The developed graybox Bayesian optimization methods offer efficient calibration for complex epidemiological models.
  • These methods enhance calibration performance and speed, particularly for computationally intensive models.
  • The approach shows potential for extension to even more complex models like agent-based models.