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1122 · Oct 202419922001200920172026
2 results for rootfinding

Improves Bayesian optimization using Gaussian process Thompson sampling.

problem Global optimization of Gaussian process posterior samples.
method Carefully selects starting points for gradient-based multi-start optimizers, identifies all local optima via univariate global rootfinding, and optimizes the posterior sample.
result Dramatic improvements in overall performance of Bayesian optimization.

New method optimizes Bayesian optimization for high-dimensional posterior samples.

problem Difficult inner-loop optimization of posterior sample paths in Bayesian optimization.
method Global rootfinding approach with carefully selected starting points.
result The method discovers the global optimum most of the time with just one starting point per set.