Differentiating Policies for Non-Myopic Bayesian Optimization

التفاصيل البيبلوغرافية
العنوان: Differentiating Policies for Non-Myopic Bayesian Optimization
المؤلفون: Nwankwo, Darian, Bindel, David
سنة النشر: 2024
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Computer Science - Machine Learning, Statistics - Machine Learning
الوصف: Bayesian optimization (BO) methods choose sample points by optimizing an acquisition function derived from a statistical model of the objective. These acquisition functions are chosen to balance sampling regions with predicted good objective values against exploring regions where the objective is uncertain. Standard acquisition functions are myopic, considering only the impact of the next sample, but non-myopic acquisition functions may be more effective. In principle, one could model the sampling by a Markov decision process, and optimally choose the next sample by maximizing an expected reward computed by dynamic programming; however, this is infeasibly expensive. More practical approaches, such as rollout, consider a parametric family of sampling policies. In this paper, we show how to efficiently estimate rollout acquisition functions and their gradients, enabling stochastic gradient-based optimization of sampling policies.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.07812
رقم الانضمام: edsarx.2408.07812
قاعدة البيانات: arXiv