Bayesian optimisation outperforms standard ML-II in small samples.
problem Standard ML-II fails in small-sample trials.
method Adopting fully Bayesian optimisation (FBO) as an alternative.
result FBO is more robust and practical than ML-II.
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4 results for “ML-II”
Sparse Gaussian process hyperparameters optimized using MCMC.
problem Hyperparameter uncertainty leads to biased estimates and underestimation of predictive uncertainty.
method Proposes an MCMC algorithm to sample from the hyperparameter posterior in sparse Gaussian process regression.
result Significantly improves sampling efficiency in the Gaussian likelihood case.
This paper uses Nested Sampling to improve Gaussian Process uncertainty quantification.
problem Underestimating predictive uncertainty and overfitting in Gaussian Process models.
method Marginalises hyperparameters using Nested Sampling for spectral mixture kernels.
result Improves predictive performance and uncertainty quantification across various data sets.
This paper explores approximations for fully Bayesian Gaussian Process Regression.
problem Learning in Gaussian Process models through hyperparameter adaptation.
method Two approximation schemes: Hamiltonian Monte Carlo and Variational Inference.
result Predictive performance analysis on various benchmark datasets.