Generative Adversarial Bayesian Optimization for Surrogate Objectives

Offline model-based policy optimization seeks to optimize a learned surrogate objective function without querying the true oracle objective during optimization. However, inaccurate surrogate model predictions are frequently encountered along the optimization trajectory. To address this limitation, we propose generative adversarial Bayesian optimization (GABO) using adaptive source critic regularization, a task-agnostic framework for Bayesian optimization that employs a Lipschitz-bounded source critic model to constrain the optimization trajectory to regions where the surrogate function is reliable. We show that under certain assumptions for the continuous input space prior, our algorithm dynamically adjusts the strength of the source critic regularization. GABO outperforms existing baselines on a number of different offline optimization tasks across a variety of scientific domains. Our code is available at https://github.com/michael-s-yao/gabo

Cyclical Kernel Adaptive Metropolis

We propose cKAM, cyclical Kernel Adaptive Metropolis, which incorporates a cyclical stepsize scheme to allow control for exploration and sampling. We show that on a crafted bimodal distribution, existing Adaptive Metropolis type algorithms would fail to converge to the true posterior distribution. We point out that this is because adaptive samplers estimates the local/global covariance structure using past history of the chain, which will lead to adaptive algorithms be trapped in a local mode. We demonstrate that cKAM encourages exploration of the posterior distribution and allows the sampler to escape from a local mode, while maintaining the high performance of adaptive methods.