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Gradient boosting: A computationally efficient alternative to Markov chain Monte Carlo sampling for fitting large

Rongjie Huang1, Christopher McMahan2, Brian Herrin3

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Area of Science:

  • Epidemiology and Biostatistics
  • Computational Biology
  • Veterinary Public Health

Background:

  • Disease forecasting relies on analyzing large spatio-temporal datasets, often using Bayesian models.
  • Markov chain Monte Carlo (MCMC) methods are standard for these models but computationally intensive for large datasets.
  • Computational burden increases with the spatio-temporal scale of the model.

Purpose of the Study:

  • To develop a computationally efficient algorithm for fitting Bayesian spatio-temporal mixed effects binomial regression models.
  • To compare the performance of a novel gradient boosting approach against optimized MCMC methods.
  • To apply and evaluate the method for forecasting vector-borne diseases in domestic dogs.

Main Methods:

  • Proposed a gradient boosting algorithm for Bayesian spatio-temporal mixed effects binomial regression.
  • Applied the method to forecast Lyme disease, anaplasmosis, ehrlichiosis, and heartworm disease.
  • Compared the gradient boosting approach with a computationally optimized MCMC algorithm using extensive real-world data.

Main Results:

  • The gradient boosting approach was several orders of magnitude faster than the optimized MCMC algorithm.
  • Both methods achieved similar mean absolute prediction errors for disease forecasting.
  • The study successfully generated monthly disease forecasts across the contiguous United States.

Conclusions:

  • Gradient boosting offers a computationally efficient alternative for fitting complex spatio-temporal regression models.
  • This method significantly reduces computational burden for large-scale disease surveillance and forecasting.
  • The approach demonstrates practical utility in predicting canine vector-borne diseases with high accuracy and speed.