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On the Gaussian process limit of Bayesian Additive Regression Trees

  • Bayesian Additive Regression Trees (BART) is a nonparametric Bayesian regression technique that becomes equivalent to Gaussian process (GP) regression in the limit of infinite trees.
  • The exact BART prior covariance function has been derived and computed for the first time in this study, allowing implementation of the infinite trees limit of BART as GP regression.
  • Empirical tests show that the GP regression obtained from BART's infinite trees limit, when tuned appropriately, can be competitive with standard BART after tuning hyperparameters.
  • Using a GP surrogate of BART simplifies model building and avoids the complex BART MCMC algorithm, offering new insights into the development of both BART and GP regression.

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