BOSH: Bayesian Optimization by Sampling Hierarchically

Author(s): Henry B. Moss, David S. Leslie, Paul Rayson
Venue: ICML Workshop on Real World Experiment Design and Active Learning
Year: 2020

Paper: https://realworldml.github.io/files/cr/4_BOSH_ICML_Workshop_FINAL.pdf

Abstract

Deployments of Bayesian Optimization (BO) for functions with stochastic evaluations, such as parameter tuning via cross validation and simulation optimization, typically optimize an average of a fixed set of noisy realizations of the objective function. However, disregarding the true objective function in this manner finds a high-precision optimum of the wrong function. To solve this problem, we propose Bayesian Optimization by Sampling Hierarchically (BOSH), a novel BO routine pairing a hierarchical Gaussian process with an information-theoretic framework to generate a growing pool of realizations as the optimization progresses. We demonstrate that BOSH provides more efficient and higher-precision optimization than standard BO across synthetic benchmarks, simulation optimization, reinforcement learning and hyper-parameter tuning tasks.

Additional information